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authorjoshua <joshua@joshuayun.com>2023-12-30 23:54:31 -0500
committerjoshua <joshua@joshuayun.com>2023-12-30 23:54:31 -0500
commit86608c6770cf08c138a2bdab5855072f64be09ef (patch)
tree494a61b3ef37e76f9235a0d10f5c93d97290a35f /Drivers/CMSIS/DSP/Source/ComplexMathFunctions
downloadsdr-software-master.tar.gz
initial commitHEADmaster
Diffstat (limited to 'Drivers/CMSIS/DSP/Source/ComplexMathFunctions')
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt16
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c46
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c161
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c157
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c137
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c233
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c154
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c153
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c188
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c162
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c130
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c184
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c161
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c129
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c194
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c136
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c137
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c169
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c182
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c148
20 files changed, 2977 insertions, 0 deletions
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt
new file mode 100644
index 0000000..34cdd8d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt
@@ -0,0 +1,16 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPComplexMath)
+
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPComplexMath STATIC ${SRC})
+
+configdsp(CMSISDSPComplexMath ..)
+
+### Includes
+target_include_directories(CMSISDSPComplexMath PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c
new file mode 100644
index 0000000..2143739
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c
@@ -0,0 +1,46 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: CompexMathFunctions.c
+ * Description: Combination of all comlex math function source files.
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_cmplx_conj_f32.c"
+#include "arm_cmplx_conj_q15.c"
+#include "arm_cmplx_conj_q31.c"
+#include "arm_cmplx_dot_prod_f32.c"
+#include "arm_cmplx_dot_prod_q15.c"
+#include "arm_cmplx_dot_prod_q31.c"
+#include "arm_cmplx_mag_f32.c"
+#include "arm_cmplx_mag_q15.c"
+#include "arm_cmplx_mag_q31.c"
+#include "arm_cmplx_mag_squared_f32.c"
+#include "arm_cmplx_mag_squared_q15.c"
+#include "arm_cmplx_mag_squared_q31.c"
+#include "arm_cmplx_mult_cmplx_f32.c"
+#include "arm_cmplx_mult_cmplx_q15.c"
+#include "arm_cmplx_mult_cmplx_q31.c"
+#include "arm_cmplx_mult_real_f32.c"
+#include "arm_cmplx_mult_real_q15.c"
+#include "arm_cmplx_mult_real_q31.c"
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
new file mode 100644
index 0000000..ae20bbb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_f32.c
+ * Description: Floating-point complex conjugate
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_conj Complex Conjugate
+
+ Conjugates the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the destination data where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of <code>2*numSamples</code> values.
+
+ The underlying algorithm is used:
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n) ] = pSrc[(2*n) ]; // real part
+ pDst[(2*n)+1] = -pSrc[(2*n)+1]; // imag part
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Floating-point complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+
+void arm_cmplx_conj_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t zero;
+ float32x4x2_t vec;
+
+ zero = vdupq_n_f32(0.0);
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0]+jC[1] = A[0]+(-1)*jA[1] */
+ /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+ vec = vld2q_f32(pSrc);
+ vec.val[1] = vsubq_f32(zero,vec.val[1]);
+ vst2q_f32(pDst,vec);
+
+ /* Increment pointers */
+ pSrc += 8;
+ pDst += 8;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined (ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
new file mode 100644
index 0000000..d7fdc28
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
@@ -0,0 +1,157 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_q15.c
+ * Description: Q15 complex conjugate
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Q15 complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF.
+ */
+
+void arm_cmplx_conj_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in1; /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+ q31_t in2, in3, in4; /* Temporary input variables */
+#endif
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+
+ #if defined (ARM_MATH_DSP)
+ in1 = read_q15x2_ia ((q15_t **) &pSrc);
+ in2 = read_q15x2_ia ((q15_t **) &pSrc);
+ in3 = read_q15x2_ia ((q15_t **) &pSrc);
+ in4 = read_q15x2_ia ((q15_t **) &pSrc);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ in1 = __QASX(0, in1);
+ in2 = __QASX(0, in2);
+ in3 = __QASX(0, in3);
+ in4 = __QASX(0, in4);
+#else
+ in1 = __QSAX(0, in1);
+ in2 = __QSAX(0, in2);
+ in3 = __QSAX(0, in3);
+ in4 = __QSAX(0, in4);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
+ in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
+ in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
+ in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
+
+ write_q15x2_ia (&pDst, in1);
+ write_q15x2_ia (&pDst, in2);
+ write_q15x2_ia (&pDst, in3);
+ write_q15x2_ia (&pDst, in4);
+#else
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __SSAT(-in1, 16);
+#else
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
new file mode 100644
index 0000000..c3cbdbf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
@@ -0,0 +1,137 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_q31.c
+ * Description: Q31 complex conjugate
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Q31 complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF.
+ */
+
+void arm_cmplx_conj_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in; /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
new file mode 100644
index 0000000..167b865
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_f32.c
+ * Description: Floating-point complex dot product
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_dot_prod Complex Dot Product
+
+ Computes the dot product of two complex vectors.
+ The vectors are multiplied element-by-element and then summed.
+
+ The <code>pSrcA</code> points to the first complex input vector and
+ <code>pSrcB</code> points to the second complex input vector.
+ <code>numSamples</code> specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of <code>2*numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ realResult = 0;
+ imagResult = 0;
+ for (n = 0; n < numSamples; n++) {
+ realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Floating-point complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+ */
+
+void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result variables */
+ float32_t a0,b0,c0,d0;
+
+#if defined(ARM_MATH_NEON)
+ float32x4x2_t vec1,vec2,vec3,vec4;
+ float32x4_t accR,accI;
+ float32x2_t accum = vdup_n_f32(0);
+
+ accR = vdupq_n_f32(0.0);
+ accI = vdupq_n_f32(0.0);
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = (A[0]+jA[1])*(B[0]+jB[1]) + ... */
+ /* Calculate dot product and then store the result in a temporary buffer. */
+
+ vec1 = vld2q_f32(pSrcA);
+ vec2 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec1.val[0],vec2.val[0]);
+ accR = vmlsq_f32(accR,vec1.val[1],vec2.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec1.val[1],vec2.val[0]);
+ accI = vmlaq_f32(accI,vec1.val[0],vec2.val[1]);
+
+ vec3 = vld2q_f32(pSrcA);
+ vec4 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec3.val[0],vec4.val[0]);
+ accR = vmlsq_f32(accR,vec3.val[1],vec4.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec3.val[1],vec4.val[0]);
+ accI = vmlaq_f32(accI,vec3.val[0],vec4.val[1]);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR), vget_high_f32(accR));
+ real_sum += accum[0] + accum[1];
+
+ accum = vpadd_f32(vget_low_f32(accI), vget_high_f32(accI));
+ imag_sum += accum[0] + accum[1];
+
+ /* Tail */
+ blkCnt = numSamples & 0x7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in destination buffer. */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
new file mode 100644
index 0000000..5947958
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
@@ -0,0 +1,154 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_q15.c
+ * Description: Processing function for the Q15 Complex Dot product
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Q15 complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned her
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.
+ These are accumulated in a 64-bit accumulator with 34.30 precision.
+ As a final step, the accumulators are converted to 8.24 format.
+ The return results <code>realResult</code> and <code>imagResult</code> are in 8.24 format.
+ */
+
+void arm_cmplx_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */
+ q15_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 8.24 format */
+ /* Convert real data in 34.30 to 8.24 by 6 right shifts */
+ *realResult = (q31_t) (real_sum >> 6);
+ /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
+ *imagResult = (q31_t) (imag_sum >> 6);
+}
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
new file mode 100644
index 0000000..9f82e8e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
@@ -0,0 +1,153 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_q31.c
+ * Description: Q31 complex dot product
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Q31 complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.
+ The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.
+ Additions are nonsaturating and no overflow will occur as long as <code>numSamples</code> is less than 32768.
+ The return results <code>realResult</code> and <code>imagResult</code> are in 16.48 format.
+ Input down scaling is not required.
+ */
+
+void arm_cmplx_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */
+ q31_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 16.48 format */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
new file mode 100644
index 0000000..128ecb9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
@@ -0,0 +1,188 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_f32.c
+ * Description: Floating-point complex magnitude
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag Complex Magnitude
+
+ Computes the magnitude of the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of <code>2*numSamples</code> values;
+ the output array has a total of <code>numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+void arm_cmplx_mag_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counter */
+ float32_t real, imag; /* Temporary variables to hold input values */
+
+#if defined(ARM_MATH_NEON)
+
+ float32x4x2_t vecA;
+ float32x4_t vRealA;
+ float32x4_t vImagA;
+ float32x4_t vMagSqA;
+
+ float32x4x2_t vecB;
+ float32x4_t vRealB;
+ float32x4_t vImagB;
+ float32x4_t vMagSqB;
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* out = sqrt((real * real) + (imag * imag)) */
+
+ vecA = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vecB = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+ vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+ vMagSqA = vaddq_f32(vRealA, vImagA);
+
+ vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+ vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+ vMagSqB = vaddq_f32(vRealB, vImagB);
+
+ /* Store the result in the destination buffer. */
+ vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqA));
+ pDst += 4;
+
+ vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqB));
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ blkCnt = numSamples & 7;
+
+#else
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
new file mode 100644
index 0000000..a5b45b5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
@@ -0,0 +1,162 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_q15.c
+ * Description: Q15 complex magnitude
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
+ */
+
+void arm_cmplx_mag_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
new file mode 100644
index 0000000..fe26d5b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
@@ -0,0 +1,130 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_q31.c
+ * Description: Q31 complex magnitude
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q31 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.
+ Input down scaling is not required.
+ */
+
+void arm_cmplx_mag_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
new file mode 100644
index 0000000..8092df9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
@@ -0,0 +1,184 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_f32.c
+ * Description: Floating-point complex magnitude squared
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag_squared Complex Magnitude Squared
+
+ Computes the magnitude squared of the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of <code>2*numSamples</code> values;
+ the output array has a total of <code>numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+void arm_cmplx_mag_squared_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real, imag; /* Temporary input variables */
+
+#if defined(ARM_MATH_NEON)
+ float32x4x2_t vecA;
+ float32x4_t vRealA;
+ float32x4_t vImagA;
+ float32x4_t vMagSqA;
+
+ float32x4x2_t vecB;
+ float32x4_t vRealB;
+ float32x4_t vImagB;
+ float32x4_t vMagSqB;
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* out = sqrt((real * real) + (imag * imag)) */
+
+ vecA = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+ vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+ vMagSqA = vaddq_f32(vRealA, vImagA);
+
+ vecB = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+ vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+ vMagSqB = vaddq_f32(vRealB, vImagB);
+
+ /* Store the result in the destination buffer. */
+ vst1q_f32(pDst, vMagSqA);
+ pDst += 4;
+
+ vst1q_f32(pDst, vMagSqB);
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ blkCnt = numSamples & 7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
new file mode 100644
index 0000000..908f3bc
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_q15.c
+ * Description: Q15 complex magnitude squared
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+void arm_cmplx_mag_squared_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
new file mode 100644
index 0000000..f16ff7a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
@@ -0,0 +1,129 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_q31.c
+ * Description: Q31 complex magnitude squared
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Q31 complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ Input down scaling is not required.
+ */
+
+void arm_cmplx_mag_squared_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ /* store the result in 3.29 format in the destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
new file mode 100644
index 0000000..ee75882
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
@@ -0,0 +1,194 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_f32.c
+ * Description: Floating-point complex-by-complex multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication
+
+ Multiplies a complex vector by another complex vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter <code>numSamples</code> represents the number of complex
+ samples processed. The complex arrays have a total of <code>2*numSamples</code>
+ real values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+void arm_cmplx_mult_cmplx_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+#if defined(ARM_MATH_NEON)
+ float32x4x2_t va, vb;
+ float32x4_t real, imag;
+ float32x4x2_t outCplx;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ va = vld2q_f32(pSrcA); // load & separate real/imag pSrcA (de-interleave 2)
+ vb = vld2q_f32(pSrcB); // load & separate real/imag pSrcB
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ outCplx.val[0] = vmulq_f32(va.val[0], vb.val[0]);
+ outCplx.val[0] = vmlsq_f32(outCplx.val[0], va.val[1], vb.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ outCplx.val[1] = vmulq_f32(va.val[0], vb.val[1]);
+ outCplx.val[1] = vmlaq_f32(outCplx.val[1], va.val[1], vb.val[0]);
+
+ vst2q_f32(pDst, outCplx);
+
+ /* Increment pointer */
+ pDst += 8;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
new file mode 100644
index 0000000..e490822
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
@@ -0,0 +1,136 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q15.c
+ * Description: Q15 complex-by-complex multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Q15 complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+void arm_cmplx_mult_cmplx_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q15_t a, b, c, d; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
new file mode 100644
index 0000000..88fd870
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
@@ -0,0 +1,137 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q31.c
+ * Description: Q31 complex-by-complex multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Q31 complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ Input down scaling is not required.
+ */
+
+void arm_cmplx_mult_cmplx_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t a, b, c, d; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
new file mode 100644
index 0000000..2b7d087
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
@@ -0,0 +1,169 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_f32.c
+ * Description: Floating-point complex by real multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByRealMult Complex-by-Real Multiplication
+
+ Multiplies a complex vector by a real vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter <code>numSamples</code> represents the number of complex
+ samples processed. The complex arrays have a total of <code>2*numSamples</code>
+ real values while the real array has a total of <code>numSamples</code>
+ real values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
+ pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+void arm_cmplx_mult_real_f32(
+ const float32_t * pSrcCmplx,
+ const float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t in; /* Temporary variable */
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t r;
+ float32x4x2_t ab,outCplx;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ ab = vld2q_f32(pSrcCmplx); // load & separate real/imag pSrcA (de-interleave 2)
+ r = vld1q_f32(pSrcReal); // load & separate real/imag pSrcB
+
+ /* Increment pointers */
+ pSrcCmplx += 8;
+ pSrcReal += 4;
+
+ outCplx.val[0] = vmulq_f32(ab.val[0], r);
+ outCplx.val[1] = vmulq_f32(ab.val[1], r);
+
+ vst2q_f32(pCmplxDst, outCplx);
+ pCmplxDst += 8;
+
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 3;
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++* in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
new file mode 100644
index 0000000..b6d3cb8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
@@ -0,0 +1,182 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_q15.c
+ * Description: Q15 complex by real multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Q15 complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+void arm_cmplx_mult_real_q15(
+ const q15_t * pSrcCmplx,
+ const q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q15_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q31_t inA1, inA2; /* Temporary variables to hold input data */
+ q31_t inB1; /* Temporary variables to hold input data */
+ q15_t out1, out2, out3, out4; /* Temporary variables to hold output data */
+ q31_t mul1, mul2, mul3, mul4; /* Temporary variables to hold intermediate data */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 complex numbers both real and imaginary from complex input buffer */
+ inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ /* read 2 real values at a time from real input buffer */
+ inB1 = read_q15x2_ia ((q15_t **) &pSrcReal);
+
+ /* multiply complex number with real numbers */
+#ifndef ARM_MATH_BIG_ENDIAN
+ mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+ mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+ mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+ mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* saturate the result */
+ out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+ out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+ out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+ out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+ /* pack real and imaginary outputs and store them to destination */
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+
+ inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inB1 = read_q15x2_ia ((q15_t **) &pSrcReal);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+ mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+ mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+ mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+ out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+ out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+ out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+#else
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store the result in the destination buffer. */
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
new file mode 100644
index 0000000..f3142b0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_q31.c
+ * Description: Q31 complex by real multiplication
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Q31 complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+void arm_cmplx_mult_real_q31(
+ const q31_t * pSrcCmplx,
+ const q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of CmplxByRealMult group
+ */