1 /*
2 * Copyright (c) 2018 The WebRTC project authors. All Rights Reserved.
3 *
4 * Use of this source code is governed by a BSD-style license
5 * that can be found in the LICENSE file in the root of the source
6 * tree. An additional intellectual property rights grant can be found
7 * in the file PATENTS. All contributing project authors may
8 * be found in the AUTHORS file in the root of the source tree.
9 */
10
11 #include "modules/audio_processing/agc2/rnn_vad/spectral_features.h"
12
13 #include <algorithm>
14 #include <cmath>
15 #include <limits>
16 #include <numeric>
17
18 #include "rtc_base/checks.h"
19 #include "rtc_base/numerics/safe_compare.h"
20
21 namespace webrtc {
22 namespace rnn_vad {
23 namespace {
24
25 constexpr float kSilenceThreshold = 0.04f;
26
27 // Computes the new cepstral difference stats and pushes them into the passed
28 // symmetric matrix buffer.
UpdateCepstralDifferenceStats(rtc::ArrayView<const float,kNumBands> new_cepstral_coeffs,const RingBuffer<float,kNumBands,kCepstralCoeffsHistorySize> & ring_buf,SymmetricMatrixBuffer<float,kCepstralCoeffsHistorySize> * sym_matrix_buf)29 void UpdateCepstralDifferenceStats(
30 rtc::ArrayView<const float, kNumBands> new_cepstral_coeffs,
31 const RingBuffer<float, kNumBands, kCepstralCoeffsHistorySize>& ring_buf,
32 SymmetricMatrixBuffer<float, kCepstralCoeffsHistorySize>* sym_matrix_buf) {
33 RTC_DCHECK(sym_matrix_buf);
34 // Compute the new cepstral distance stats.
35 std::array<float, kCepstralCoeffsHistorySize - 1> distances;
36 for (int i = 0; i < kCepstralCoeffsHistorySize - 1; ++i) {
37 const int delay = i + 1;
38 auto old_cepstral_coeffs = ring_buf.GetArrayView(delay);
39 distances[i] = 0.f;
40 for (int k = 0; k < kNumBands; ++k) {
41 const float c = new_cepstral_coeffs[k] - old_cepstral_coeffs[k];
42 distances[i] += c * c;
43 }
44 }
45 // Push the new spectral distance stats into the symmetric matrix buffer.
46 sym_matrix_buf->Push(distances);
47 }
48
49 // Computes the first half of the Vorbis window.
ComputeScaledHalfVorbisWindow(float scaling=1.f)50 std::array<float, kFrameSize20ms24kHz / 2> ComputeScaledHalfVorbisWindow(
51 float scaling = 1.f) {
52 constexpr int kHalfSize = kFrameSize20ms24kHz / 2;
53 std::array<float, kHalfSize> half_window{};
54 for (int i = 0; i < kHalfSize; ++i) {
55 half_window[i] =
56 scaling *
57 std::sin(0.5 * kPi * std::sin(0.5 * kPi * (i + 0.5) / kHalfSize) *
58 std::sin(0.5 * kPi * (i + 0.5) / kHalfSize));
59 }
60 return half_window;
61 }
62
63 // Computes the forward FFT on a 20 ms frame to which a given window function is
64 // applied. The Fourier coefficient corresponding to the Nyquist frequency is
65 // set to zero (it is never used and this allows to simplify the code).
ComputeWindowedForwardFft(rtc::ArrayView<const float,kFrameSize20ms24kHz> frame,const std::array<float,kFrameSize20ms24kHz/2> & half_window,Pffft::FloatBuffer * fft_input_buffer,Pffft::FloatBuffer * fft_output_buffer,Pffft * fft)66 void ComputeWindowedForwardFft(
67 rtc::ArrayView<const float, kFrameSize20ms24kHz> frame,
68 const std::array<float, kFrameSize20ms24kHz / 2>& half_window,
69 Pffft::FloatBuffer* fft_input_buffer,
70 Pffft::FloatBuffer* fft_output_buffer,
71 Pffft* fft) {
72 RTC_DCHECK_EQ(frame.size(), 2 * half_window.size());
73 // Apply windowing.
74 auto in = fft_input_buffer->GetView();
75 for (int i = 0, j = kFrameSize20ms24kHz - 1;
76 rtc::SafeLt(i, half_window.size()); ++i, --j) {
77 in[i] = frame[i] * half_window[i];
78 in[j] = frame[j] * half_window[i];
79 }
80 fft->ForwardTransform(*fft_input_buffer, fft_output_buffer, /*ordered=*/true);
81 // Set the Nyquist frequency coefficient to zero.
82 auto out = fft_output_buffer->GetView();
83 out[1] = 0.f;
84 }
85
86 } // namespace
87
SpectralFeaturesExtractor()88 SpectralFeaturesExtractor::SpectralFeaturesExtractor()
89 : half_window_(ComputeScaledHalfVorbisWindow(
90 1.f / static_cast<float>(kFrameSize20ms24kHz))),
91 fft_(kFrameSize20ms24kHz, Pffft::FftType::kReal),
92 fft_buffer_(fft_.CreateBuffer()),
93 reference_frame_fft_(fft_.CreateBuffer()),
94 lagged_frame_fft_(fft_.CreateBuffer()),
95 dct_table_(ComputeDctTable()) {}
96
97 SpectralFeaturesExtractor::~SpectralFeaturesExtractor() = default;
98
Reset()99 void SpectralFeaturesExtractor::Reset() {
100 cepstral_coeffs_ring_buf_.Reset();
101 cepstral_diffs_buf_.Reset();
102 }
103
CheckSilenceComputeFeatures(rtc::ArrayView<const float,kFrameSize20ms24kHz> reference_frame,rtc::ArrayView<const float,kFrameSize20ms24kHz> lagged_frame,rtc::ArrayView<float,kNumBands-kNumLowerBands> higher_bands_cepstrum,rtc::ArrayView<float,kNumLowerBands> average,rtc::ArrayView<float,kNumLowerBands> first_derivative,rtc::ArrayView<float,kNumLowerBands> second_derivative,rtc::ArrayView<float,kNumLowerBands> bands_cross_corr,float * variability)104 bool SpectralFeaturesExtractor::CheckSilenceComputeFeatures(
105 rtc::ArrayView<const float, kFrameSize20ms24kHz> reference_frame,
106 rtc::ArrayView<const float, kFrameSize20ms24kHz> lagged_frame,
107 rtc::ArrayView<float, kNumBands - kNumLowerBands> higher_bands_cepstrum,
108 rtc::ArrayView<float, kNumLowerBands> average,
109 rtc::ArrayView<float, kNumLowerBands> first_derivative,
110 rtc::ArrayView<float, kNumLowerBands> second_derivative,
111 rtc::ArrayView<float, kNumLowerBands> bands_cross_corr,
112 float* variability) {
113 // Compute the Opus band energies for the reference frame.
114 ComputeWindowedForwardFft(reference_frame, half_window_, fft_buffer_.get(),
115 reference_frame_fft_.get(), &fft_);
116 spectral_correlator_.ComputeAutoCorrelation(
117 reference_frame_fft_->GetConstView(), reference_frame_bands_energy_);
118 // Check if the reference frame has silence.
119 const float tot_energy =
120 std::accumulate(reference_frame_bands_energy_.begin(),
121 reference_frame_bands_energy_.end(), 0.f);
122 if (tot_energy < kSilenceThreshold) {
123 return true;
124 }
125 // Compute the Opus band energies for the lagged frame.
126 ComputeWindowedForwardFft(lagged_frame, half_window_, fft_buffer_.get(),
127 lagged_frame_fft_.get(), &fft_);
128 spectral_correlator_.ComputeAutoCorrelation(lagged_frame_fft_->GetConstView(),
129 lagged_frame_bands_energy_);
130 // Log of the band energies for the reference frame.
131 std::array<float, kNumBands> log_bands_energy;
132 ComputeSmoothedLogMagnitudeSpectrum(reference_frame_bands_energy_,
133 log_bands_energy);
134 // Reference frame cepstrum.
135 std::array<float, kNumBands> cepstrum;
136 ComputeDct(log_bands_energy, dct_table_, cepstrum);
137 // Ad-hoc correction terms for the first two cepstral coefficients.
138 cepstrum[0] -= 12.f;
139 cepstrum[1] -= 4.f;
140 // Update the ring buffer and the cepstral difference stats.
141 cepstral_coeffs_ring_buf_.Push(cepstrum);
142 UpdateCepstralDifferenceStats(cepstrum, cepstral_coeffs_ring_buf_,
143 &cepstral_diffs_buf_);
144 // Write the higher bands cepstral coefficients.
145 RTC_DCHECK_EQ(cepstrum.size() - kNumLowerBands, higher_bands_cepstrum.size());
146 std::copy(cepstrum.begin() + kNumLowerBands, cepstrum.end(),
147 higher_bands_cepstrum.begin());
148 // Compute and write remaining features.
149 ComputeAvgAndDerivatives(average, first_derivative, second_derivative);
150 ComputeNormalizedCepstralCorrelation(bands_cross_corr);
151 RTC_DCHECK(variability);
152 *variability = ComputeVariability();
153 return false;
154 }
155
ComputeAvgAndDerivatives(rtc::ArrayView<float,kNumLowerBands> average,rtc::ArrayView<float,kNumLowerBands> first_derivative,rtc::ArrayView<float,kNumLowerBands> second_derivative) const156 void SpectralFeaturesExtractor::ComputeAvgAndDerivatives(
157 rtc::ArrayView<float, kNumLowerBands> average,
158 rtc::ArrayView<float, kNumLowerBands> first_derivative,
159 rtc::ArrayView<float, kNumLowerBands> second_derivative) const {
160 auto curr = cepstral_coeffs_ring_buf_.GetArrayView(0);
161 auto prev1 = cepstral_coeffs_ring_buf_.GetArrayView(1);
162 auto prev2 = cepstral_coeffs_ring_buf_.GetArrayView(2);
163 RTC_DCHECK_EQ(average.size(), first_derivative.size());
164 RTC_DCHECK_EQ(first_derivative.size(), second_derivative.size());
165 RTC_DCHECK_LE(average.size(), curr.size());
166 for (int i = 0; rtc::SafeLt(i, average.size()); ++i) {
167 // Average, kernel: [1, 1, 1].
168 average[i] = curr[i] + prev1[i] + prev2[i];
169 // First derivative, kernel: [1, 0, - 1].
170 first_derivative[i] = curr[i] - prev2[i];
171 // Second derivative, Laplacian kernel: [1, -2, 1].
172 second_derivative[i] = curr[i] - 2 * prev1[i] + prev2[i];
173 }
174 }
175
ComputeNormalizedCepstralCorrelation(rtc::ArrayView<float,kNumLowerBands> bands_cross_corr)176 void SpectralFeaturesExtractor::ComputeNormalizedCepstralCorrelation(
177 rtc::ArrayView<float, kNumLowerBands> bands_cross_corr) {
178 spectral_correlator_.ComputeCrossCorrelation(
179 reference_frame_fft_->GetConstView(), lagged_frame_fft_->GetConstView(),
180 bands_cross_corr_);
181 // Normalize.
182 for (int i = 0; rtc::SafeLt(i, bands_cross_corr_.size()); ++i) {
183 bands_cross_corr_[i] =
184 bands_cross_corr_[i] /
185 std::sqrt(0.001f + reference_frame_bands_energy_[i] *
186 lagged_frame_bands_energy_[i]);
187 }
188 // Cepstrum.
189 ComputeDct(bands_cross_corr_, dct_table_, bands_cross_corr);
190 // Ad-hoc correction terms for the first two cepstral coefficients.
191 bands_cross_corr[0] -= 1.3f;
192 bands_cross_corr[1] -= 0.9f;
193 }
194
ComputeVariability() const195 float SpectralFeaturesExtractor::ComputeVariability() const {
196 // Compute cepstral variability score.
197 float variability = 0.f;
198 for (int delay1 = 0; delay1 < kCepstralCoeffsHistorySize; ++delay1) {
199 float min_dist = std::numeric_limits<float>::max();
200 for (int delay2 = 0; delay2 < kCepstralCoeffsHistorySize; ++delay2) {
201 if (delay1 == delay2) // The distance would be 0.
202 continue;
203 min_dist =
204 std::min(min_dist, cepstral_diffs_buf_.GetValue(delay1, delay2));
205 }
206 variability += min_dist;
207 }
208 // Normalize (based on training set stats).
209 // TODO(bugs.webrtc.org/10480): Isolate normalization from feature extraction.
210 return variability / kCepstralCoeffsHistorySize - 2.1f;
211 }
212
213 } // namespace rnn_vad
214 } // namespace webrtc
215