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+/*
+ * Copyright (c) 2021 Arm Limited. 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
+ *
+ * http://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.
+ */
+#ifndef MFCC_HPP
+#define MFCC_HPP
+
+#include "PlatformMath.hpp"
+
+#include <vector>
+#include <cstdint>
+#include <cmath>
+#include <limits>
+#include <string>
+
+namespace arm {
+namespace app {
+namespace audio {
+
+ /* MFCC's consolidated parameters. */
+ class MfccParams {
+ public:
+ float m_samplingFreq;
+ uint32_t m_numFbankBins;
+ float m_melLoFreq;
+ float m_melHiFreq;
+ uint32_t m_numMfccFeatures;
+ uint32_t m_frameLen;
+ uint32_t m_frameLenPadded;
+ bool m_useHtkMethod;
+
+ /** @brief Constructor */
+ MfccParams(float samplingFreq, uint32_t numFbankBins,
+ float melLoFreq, float melHiFreq,
+ uint32_t numMfccFeats, uint32_t frameLen,
+ bool useHtkMethod);
+
+ MfccParams() = delete;
+
+ ~MfccParams() = default;
+
+ /** @brief String representation of parameters */
+ std::string Str();
+ };
+
+ /**
+ * @brief Class for MFCC feature extraction.
+ * Based on https://github.com/ARM-software/ML-KWS-for-MCU/blob/master/Deployment/Source/MFCC/mfcc.cpp
+ * This class is designed to be generic and self-sufficient but
+ * certain calculation routines can be overridden to accommodate
+ * use-case specific requirements.
+ */
+ class MFCC {
+ public:
+ /**
+ * @brief Constructor
+ * @param[in] params MFCC parameters
+ */
+ explicit MFCC(const MfccParams& params);
+
+ MFCC() = delete;
+
+ ~MFCC() = default;
+
+ /**
+ * @brief Extract MFCC features for one single small frame of
+ * audio data e.g. 640 samples.
+ * @param[in] audioData Vector of audio samples to calculate
+ * features for.
+ * @return Vector of extracted MFCC features.
+ **/
+ std::vector<float> MfccCompute(const std::vector<int16_t>& audioData);
+
+ /** @brief Initialise. */
+ void Init();
+
+ /**
+ * @brief Extract MFCC features and quantise for one single small
+ * frame of audio data e.g. 640 samples.
+ * @param[in] audioData Vector of audio samples to calculate
+ * features for.
+ * @param[in] quantScale Quantisation scale.
+ * @param[in] quantOffset Quantisation offset.
+ * @return Vector of extracted quantised MFCC features.
+ **/
+ template<typename T>
+ std::vector<T> MfccComputeQuant(const std::vector<int16_t>& audioData,
+ const float quantScale,
+ const int quantOffset)
+ {
+ this->_MfccComputePreFeature(audioData);
+ float minVal = std::numeric_limits<T>::min();
+ float maxVal = std::numeric_limits<T>::max();
+
+ std::vector<T> mfccOut(this->_m_params.m_numMfccFeatures);
+ const size_t numFbankBins = this->_m_params.m_numFbankBins;
+
+ /* Take DCT. Uses matrix mul. */
+ for (size_t i = 0, j = 0; i < mfccOut.size(); ++i, j += numFbankBins) {
+ float sum = 0;
+ for (size_t k = 0; k < numFbankBins; ++k) {
+ sum += this->_m_dctMatrix[j + k] * this->_m_melEnergies[k];
+ }
+ /* Quantize to T. */
+ sum = std::round((sum / quantScale) + quantOffset);
+ mfccOut[i] = static_cast<T>(std::min<float>(std::max<float>(sum, minVal), maxVal));
+ }
+
+ return mfccOut;
+ }
+
+ /* Constants */
+ static constexpr float ms_logStep = /*logf(6.4)*/ 1.8562979903656 / 27.0;
+ static constexpr float ms_freqStep = 200.0 / 3;
+ static constexpr float ms_minLogHz = 1000.0;
+ static constexpr float ms_minLogMel = ms_minLogHz / ms_freqStep;
+
+ protected:
+ /**
+ * @brief Project input frequency to Mel Scale.
+ * @param[in] freq Input frequency in floating point.
+ * @param[in] useHTKmethod bool to signal if HTK method is to be
+ * used for calculation.
+ * @return Mel transformed frequency in floating point.
+ **/
+ static float MelScale(float freq,
+ bool useHTKMethod = true);
+
+ /**
+ * @brief Inverse Mel transform - convert MEL warped frequency
+ * back to normal frequency.
+ * @param[in] freq Mel frequency in floating point.
+ * @param[in] useHTKmethod bool to signal if HTK method is to be
+ * used for calculation.
+ * @return Real world frequency in floating point.
+ **/
+ static float InverseMelScale(float melFreq,
+ bool useHTKMethod = true);
+
+ /**
+ * @brief Populates MEL energies after applying the MEL filter
+ * bank weights and adding them up to be placed into
+ * bins, according to the filter bank's first and last
+ * indices (pre-computed for each filter bank element
+ * by _CreateMelFilterBank function).
+ * @param[in] fftVec Vector populated with FFT magnitudes.
+ * @param[in] melFilterBank 2D Vector with filter bank weights.
+ * @param[in] filterBankFilterFirst Vector containing the first indices of filter bank
+ * to be used for each bin.
+ * @param[in] filterBankFilterLast Vector containing the last indices of filter bank
+ * to be used for each bin.
+ * @param[out] melEnergies Pre-allocated vector of MEL energies to be
+ * populated.
+ * @return true if successful, false otherwise.
+ */
+ virtual bool ApplyMelFilterBank(
+ std::vector<float>& fftVec,
+ std::vector<std::vector<float>>& melFilterBank,
+ std::vector<int32_t>& filterBankFilterFirst,
+ std::vector<int32_t>& filterBankFilterLast,
+ std::vector<float>& melEnergies);
+
+ /**
+ * @brief Converts the Mel energies for logarithmic scale.
+ * @param[in,out] melEnergies 1D vector of Mel energies.
+ **/
+ virtual void ConvertToLogarithmicScale(std::vector<float>& melEnergies);
+
+ /**
+ * @brief Create a matrix used to calculate Discrete Cosine
+ * Transform.
+ * @param[in] inputLength Input length of the buffer on which
+ * DCT will be performed.
+ * @param[in] coefficientCount Total coefficients per input length.
+ * @return 1D vector with inputLength x coefficientCount elements
+ * populated with DCT coefficients.
+ */
+ virtual std::vector<float> CreateDCTMatrix(
+ int32_t inputLength,
+ int32_t coefficientCount);
+
+ /**
+ * @brief Given the low and high Mel values, get the normaliser
+ * for weights to be applied when populating the filter
+ * bank.
+ * @param[in] leftMel Low Mel frequency value.
+ * @param[in] rightMel High Mel frequency value.
+ * @param[in] useHTKMethod bool to signal if HTK method is to be
+ * used for calculation.
+ * @return Value to use for normalizing.
+ */
+ virtual float GetMelFilterBankNormaliser(
+ const float& leftMel,
+ const float& rightMel,
+ bool useHTKMethod);
+
+ private:
+ MfccParams _m_params;
+ std::vector<float> _m_frame;
+ std::vector<float> _m_buffer;
+ std::vector<float> _m_melEnergies;
+ std::vector<float> _m_windowFunc;
+ std::vector<std::vector<float>> _m_melFilterBank;
+ std::vector<float> _m_dctMatrix;
+ std::vector<int32_t> _m_filterBankFilterFirst;
+ std::vector<int32_t> _m_filterBankFilterLast;
+ bool _m_filterBankInitialised;
+ arm::app::math::FftInstance _m_fftInstance;
+
+ /**
+ * @brief Initialises the filter banks and the DCT matrix. **/
+ void _InitMelFilterBank();
+
+ /**
+ * @brief Signals whether the instance of MFCC has had its
+ * required buffers initialised.
+ * @return true if initialised, false otherwise.
+ **/
+ bool _IsMelFilterBankInited();
+
+ /**
+ * @brief Create mel filter banks for MFCC calculation.
+ * @return 2D vector of floats.
+ **/
+ std::vector<std::vector<float>> _CreateMelFilterBank();
+
+ /**
+ * @brief Computes and populates internal memeber buffers used
+ * in MFCC feature calculation
+ * @param[in] audioData 1D vector of 16-bit audio data.
+ */
+ void _MfccComputePreFeature(const std::vector<int16_t>& audioData);
+
+ /** @brief Computes the magnitude from an interleaved complex array. */
+ void _ConvertToPowerSpectrum();
+
+ };
+
+} /* namespace audio */
+} /* namespace app */
+} /* namespace arm */
+
+#endif /* MFCC_HPP */ \ No newline at end of file