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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-19 00:47:55 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-19 00:47:55 +0000 |
commit | 26a029d407be480d791972afb5975cf62c9360a6 (patch) | |
tree | f435a8308119effd964b339f76abb83a57c29483 /third_party/libwebrtc/modules/audio_processing/three_band_filter_bank.cc | |
parent | Initial commit. (diff) | |
download | firefox-26a029d407be480d791972afb5975cf62c9360a6.tar.xz firefox-26a029d407be480d791972afb5975cf62c9360a6.zip |
Adding upstream version 124.0.1.upstream/124.0.1
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'third_party/libwebrtc/modules/audio_processing/three_band_filter_bank.cc')
-rw-r--r-- | third_party/libwebrtc/modules/audio_processing/three_band_filter_bank.cc | 278 |
1 files changed, 278 insertions, 0 deletions
diff --git a/third_party/libwebrtc/modules/audio_processing/three_band_filter_bank.cc b/third_party/libwebrtc/modules/audio_processing/three_band_filter_bank.cc new file mode 100644 index 0000000000..bd1c50477a --- /dev/null +++ b/third_party/libwebrtc/modules/audio_processing/three_band_filter_bank.cc @@ -0,0 +1,278 @@ +/* + * Copyright (c) 2015 The WebRTC project authors. All Rights Reserved. + * + * Use of this source code is governed by a BSD-style license + * that can be found in the LICENSE file in the root of the source + * tree. An additional intellectual property rights grant can be found + * in the file PATENTS. All contributing project authors may + * be found in the AUTHORS file in the root of the source tree. + */ + +// An implementation of a 3-band FIR filter-bank with DCT modulation, similar to +// the proposed in "Multirate Signal Processing for Communication Systems" by +// Fredric J Harris. +// +// The idea is to take a heterodyne system and change the order of the +// components to get something which is efficient to implement digitally. +// +// It is possible to separate the filter using the noble identity as follows: +// +// H(z) = H0(z^3) + z^-1 * H1(z^3) + z^-2 * H2(z^3) +// +// This is used in the analysis stage to first downsample serial to parallel +// and then filter each branch with one of these polyphase decompositions of the +// lowpass prototype. Because each filter is only a modulation of the prototype, +// it is enough to multiply each coefficient by the respective cosine value to +// shift it to the desired band. But because the cosine period is 12 samples, +// it requires separating the prototype even further using the noble identity. +// After filtering and modulating for each band, the output of all filters is +// accumulated to get the downsampled bands. +// +// A similar logic can be applied to the synthesis stage. + +#include "modules/audio_processing/three_band_filter_bank.h" + +#include <array> + +#include "rtc_base/checks.h" + +namespace webrtc { +namespace { + +// Factors to take into account when choosing `kFilterSize`: +// 1. Higher `kFilterSize`, means faster transition, which ensures less +// aliasing. This is especially important when there is non-linear +// processing between the splitting and merging. +// 2. The delay that this filter bank introduces is +// `kNumBands` * `kSparsity` * `kFilterSize` / 2, so it increases linearly +// with `kFilterSize`. +// 3. The computation complexity also increases linearly with `kFilterSize`. + +// The Matlab code to generate these `kFilterCoeffs` is: +// +// N = kNumBands * kSparsity * kFilterSize - 1; +// h = fir1(N, 1 / (2 * kNumBands), kaiser(N + 1, 3.5)); +// reshape(h, kNumBands * kSparsity, kFilterSize); +// +// The code below uses the values of kFilterSize, kNumBands and kSparsity +// specified in the header. + +// Because the total bandwidth of the lower and higher band is double the middle +// one (because of the spectrum parity), the low-pass prototype is half the +// bandwidth of 1 / (2 * `kNumBands`) and is then shifted with cosine modulation +// to the right places. +// A Kaiser window is used because of its flexibility and the alpha is set to +// 3.5, since that sets a stop band attenuation of 40dB ensuring a fast +// transition. + +constexpr int kSubSampling = ThreeBandFilterBank::kNumBands; +constexpr int kDctSize = ThreeBandFilterBank::kNumBands; +static_assert(ThreeBandFilterBank::kNumBands * + ThreeBandFilterBank::kSplitBandSize == + ThreeBandFilterBank::kFullBandSize, + "The full band must be split in equally sized subbands"); + +const float + kFilterCoeffs[ThreeBandFilterBank::kNumNonZeroFilters][kFilterSize] = { + {-0.00047749f, -0.00496888f, +0.16547118f, +0.00425496f}, + {-0.00173287f, -0.01585778f, +0.14989004f, +0.00994113f}, + {-0.00304815f, -0.02536082f, +0.12154542f, +0.01157993f}, + {-0.00346946f, -0.02587886f, +0.04760441f, +0.00607594f}, + {-0.00154717f, -0.01136076f, +0.01387458f, +0.00186353f}, + {+0.00186353f, +0.01387458f, -0.01136076f, -0.00154717f}, + {+0.00607594f, +0.04760441f, -0.02587886f, -0.00346946f}, + {+0.00983212f, +0.08543175f, -0.02982767f, -0.00383509f}, + {+0.00994113f, +0.14989004f, -0.01585778f, -0.00173287f}, + {+0.00425496f, +0.16547118f, -0.00496888f, -0.00047749f}}; + +constexpr int kZeroFilterIndex1 = 3; +constexpr int kZeroFilterIndex2 = 9; + +const float kDctModulation[ThreeBandFilterBank::kNumNonZeroFilters][kDctSize] = + {{2.f, 2.f, 2.f}, + {1.73205077f, 0.f, -1.73205077f}, + {1.f, -2.f, 1.f}, + {-1.f, 2.f, -1.f}, + {-1.73205077f, 0.f, 1.73205077f}, + {-2.f, -2.f, -2.f}, + {-1.73205077f, 0.f, 1.73205077f}, + {-1.f, 2.f, -1.f}, + {1.f, -2.f, 1.f}, + {1.73205077f, 0.f, -1.73205077f}}; + +// Filters the input signal `in` with the filter `filter` using a shift by +// `in_shift`, taking into account the previous state. +void FilterCore( + rtc::ArrayView<const float, kFilterSize> filter, + rtc::ArrayView<const float, ThreeBandFilterBank::kSplitBandSize> in, + const int in_shift, + rtc::ArrayView<float, ThreeBandFilterBank::kSplitBandSize> out, + rtc::ArrayView<float, kMemorySize> state) { + constexpr int kMaxInShift = (kStride - 1); + RTC_DCHECK_GE(in_shift, 0); + RTC_DCHECK_LE(in_shift, kMaxInShift); + std::fill(out.begin(), out.end(), 0.f); + + for (int k = 0; k < in_shift; ++k) { + for (int i = 0, j = kMemorySize + k - in_shift; i < kFilterSize; + ++i, j -= kStride) { + out[k] += state[j] * filter[i]; + } + } + + for (int k = in_shift, shift = 0; k < kFilterSize * kStride; ++k, ++shift) { + RTC_DCHECK_GE(shift, 0); + const int loop_limit = std::min(kFilterSize, 1 + (shift >> kStrideLog2)); + for (int i = 0, j = shift; i < loop_limit; ++i, j -= kStride) { + out[k] += in[j] * filter[i]; + } + for (int i = loop_limit, j = kMemorySize + shift - loop_limit * kStride; + i < kFilterSize; ++i, j -= kStride) { + out[k] += state[j] * filter[i]; + } + } + + for (int k = kFilterSize * kStride, shift = kFilterSize * kStride - in_shift; + k < ThreeBandFilterBank::kSplitBandSize; ++k, ++shift) { + for (int i = 0, j = shift; i < kFilterSize; ++i, j -= kStride) { + out[k] += in[j] * filter[i]; + } + } + + // Update current state. + std::copy(in.begin() + ThreeBandFilterBank::kSplitBandSize - kMemorySize, + in.end(), state.begin()); +} + +} // namespace + +// Because the low-pass filter prototype has half bandwidth it is possible to +// use a DCT to shift it in both directions at the same time, to the center +// frequencies [1 / 12, 3 / 12, 5 / 12]. +ThreeBandFilterBank::ThreeBandFilterBank() { + RTC_DCHECK_EQ(state_analysis_.size(), kNumNonZeroFilters); + RTC_DCHECK_EQ(state_synthesis_.size(), kNumNonZeroFilters); + for (int k = 0; k < kNumNonZeroFilters; ++k) { + RTC_DCHECK_EQ(state_analysis_[k].size(), kMemorySize); + RTC_DCHECK_EQ(state_synthesis_[k].size(), kMemorySize); + + state_analysis_[k].fill(0.f); + state_synthesis_[k].fill(0.f); + } +} + +ThreeBandFilterBank::~ThreeBandFilterBank() = default; + +// The analysis can be separated in these steps: +// 1. Serial to parallel downsampling by a factor of `kNumBands`. +// 2. Filtering of `kSparsity` different delayed signals with polyphase +// decomposition of the low-pass prototype filter and upsampled by a factor +// of `kSparsity`. +// 3. Modulating with cosines and accumulating to get the desired band. +void ThreeBandFilterBank::Analysis( + rtc::ArrayView<const float, kFullBandSize> in, + rtc::ArrayView<const rtc::ArrayView<float>, ThreeBandFilterBank::kNumBands> + out) { + // Initialize the output to zero. + for (int band = 0; band < ThreeBandFilterBank::kNumBands; ++band) { + RTC_DCHECK_EQ(out[band].size(), kSplitBandSize); + std::fill(out[band].begin(), out[band].end(), 0); + } + + for (int downsampling_index = 0; downsampling_index < kSubSampling; + ++downsampling_index) { + // Downsample to form the filter input. + std::array<float, kSplitBandSize> in_subsampled; + for (int k = 0; k < kSplitBandSize; ++k) { + in_subsampled[k] = + in[(kSubSampling - 1) - downsampling_index + kSubSampling * k]; + } + + for (int in_shift = 0; in_shift < kStride; ++in_shift) { + // Choose filter, skip zero filters. + const int index = downsampling_index + in_shift * kSubSampling; + if (index == kZeroFilterIndex1 || index == kZeroFilterIndex2) { + continue; + } + const int filter_index = + index < kZeroFilterIndex1 + ? index + : (index < kZeroFilterIndex2 ? index - 1 : index - 2); + + rtc::ArrayView<const float, kFilterSize> filter( + kFilterCoeffs[filter_index]); + rtc::ArrayView<const float, kDctSize> dct_modulation( + kDctModulation[filter_index]); + rtc::ArrayView<float, kMemorySize> state(state_analysis_[filter_index]); + + // Filter. + std::array<float, kSplitBandSize> out_subsampled; + FilterCore(filter, in_subsampled, in_shift, out_subsampled, state); + + // Band and modulate the output. + for (int band = 0; band < ThreeBandFilterBank::kNumBands; ++band) { + float* out_band = out[band].data(); + for (int n = 0; n < kSplitBandSize; ++n) { + out_band[n] += dct_modulation[band] * out_subsampled[n]; + } + } + } + } +} + +// The synthesis can be separated in these steps: +// 1. Modulating with cosines. +// 2. Filtering each one with a polyphase decomposition of the low-pass +// prototype filter upsampled by a factor of `kSparsity` and accumulating +// `kSparsity` signals with different delays. +// 3. Parallel to serial upsampling by a factor of `kNumBands`. +void ThreeBandFilterBank::Synthesis( + rtc::ArrayView<const rtc::ArrayView<float>, ThreeBandFilterBank::kNumBands> + in, + rtc::ArrayView<float, kFullBandSize> out) { + std::fill(out.begin(), out.end(), 0); + for (int upsampling_index = 0; upsampling_index < kSubSampling; + ++upsampling_index) { + for (int in_shift = 0; in_shift < kStride; ++in_shift) { + // Choose filter, skip zero filters. + const int index = upsampling_index + in_shift * kSubSampling; + if (index == kZeroFilterIndex1 || index == kZeroFilterIndex2) { + continue; + } + const int filter_index = + index < kZeroFilterIndex1 + ? index + : (index < kZeroFilterIndex2 ? index - 1 : index - 2); + + rtc::ArrayView<const float, kFilterSize> filter( + kFilterCoeffs[filter_index]); + rtc::ArrayView<const float, kDctSize> dct_modulation( + kDctModulation[filter_index]); + rtc::ArrayView<float, kMemorySize> state(state_synthesis_[filter_index]); + + // Prepare filter input by modulating the banded input. + std::array<float, kSplitBandSize> in_subsampled; + std::fill(in_subsampled.begin(), in_subsampled.end(), 0.f); + for (int band = 0; band < ThreeBandFilterBank::kNumBands; ++band) { + RTC_DCHECK_EQ(in[band].size(), kSplitBandSize); + const float* in_band = in[band].data(); + for (int n = 0; n < kSplitBandSize; ++n) { + in_subsampled[n] += dct_modulation[band] * in_band[n]; + } + } + + // Filter. + std::array<float, kSplitBandSize> out_subsampled; + FilterCore(filter, in_subsampled, in_shift, out_subsampled, state); + + // Upsample. + constexpr float kUpsamplingScaling = kSubSampling; + for (int k = 0; k < kSplitBandSize; ++k) { + out[upsampling_index + kSubSampling * k] += + kUpsamplingScaling * out_subsampled[k]; + } + } + } +} + +} // namespace webrtc |