1 /*
2 * Copyright (c) 2012 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 "common_audio/vad/vad_filterbank.h"
12
13 #include "rtc_base/checks.h"
14 #include "common_audio/signal_processing/include/signal_processing_library.h"
15
16 // Constants used in LogOfEnergy().
17 static const int16_t kLogConst = 24660; // 160*log10(2) in Q9.
18 static const int16_t kLogEnergyIntPart = 14336; // 14 in Q10
19
20 // Coefficients used by HighPassFilter, Q14.
21 static const int16_t kHpZeroCoefs[3] = { 6631, -13262, 6631 };
22 static const int16_t kHpPoleCoefs[3] = { 16384, -7756, 5620 };
23
24 // Allpass filter coefficients, upper and lower, in Q15.
25 // Upper: 0.64, Lower: 0.17
26 static const int16_t kAllPassCoefsQ15[2] = { 20972, 5571 };
27
28 // Adjustment for division with two in SplitFilter.
29 static const int16_t kOffsetVector[6] = { 368, 368, 272, 176, 176, 176 };
30
31 // High pass filtering, with a cut-off frequency at 80 Hz, if the |data_in| is
32 // sampled at 500 Hz.
33 //
34 // - data_in [i] : Input audio data sampled at 500 Hz.
35 // - data_length [i] : Length of input and output data.
36 // - filter_state [i/o] : State of the filter.
37 // - data_out [o] : Output audio data in the frequency interval
38 // 80 - 250 Hz.
HighPassFilter(const int16_t * data_in,size_t data_length,int16_t * filter_state,int16_t * data_out)39 static void HighPassFilter(const int16_t* data_in, size_t data_length,
40 int16_t* filter_state, int16_t* data_out) {
41 size_t i;
42 const int16_t* in_ptr = data_in;
43 int16_t* out_ptr = data_out;
44 int32_t tmp32 = 0;
45
46
47 // The sum of the absolute values of the impulse response:
48 // The zero/pole-filter has a max amplification of a single sample of: 1.4546
49 // Impulse response: 0.4047 -0.6179 -0.0266 0.1993 0.1035 -0.0194
50 // The all-zero section has a max amplification of a single sample of: 1.6189
51 // Impulse response: 0.4047 -0.8094 0.4047 0 0 0
52 // The all-pole section has a max amplification of a single sample of: 1.9931
53 // Impulse response: 1.0000 0.4734 -0.1189 -0.2187 -0.0627 0.04532
54
55 for (i = 0; i < data_length; i++) {
56 // All-zero section (filter coefficients in Q14).
57 tmp32 = kHpZeroCoefs[0] * *in_ptr;
58 tmp32 += kHpZeroCoefs[1] * filter_state[0];
59 tmp32 += kHpZeroCoefs[2] * filter_state[1];
60 filter_state[1] = filter_state[0];
61 filter_state[0] = *in_ptr++;
62
63 // All-pole section (filter coefficients in Q14).
64 tmp32 -= kHpPoleCoefs[1] * filter_state[2];
65 tmp32 -= kHpPoleCoefs[2] * filter_state[3];
66 filter_state[3] = filter_state[2];
67 filter_state[2] = (int16_t) (tmp32 >> 14);
68 *out_ptr++ = filter_state[2];
69 }
70 }
71
72 // All pass filtering of |data_in|, used before splitting the signal into two
73 // frequency bands (low pass vs high pass).
74 // Note that |data_in| and |data_out| can NOT correspond to the same address.
75 //
76 // - data_in [i] : Input audio signal given in Q0.
77 // - data_length [i] : Length of input and output data.
78 // - filter_coefficient [i] : Given in Q15.
79 // - filter_state [i/o] : State of the filter given in Q(-1).
80 // - data_out [o] : Output audio signal given in Q(-1).
AllPassFilter(const int16_t * data_in,size_t data_length,int16_t filter_coefficient,int16_t * filter_state,int16_t * data_out)81 static void AllPassFilter(const int16_t* data_in, size_t data_length,
82 int16_t filter_coefficient, int16_t* filter_state,
83 int16_t* data_out) {
84 // The filter can only cause overflow (in the w16 output variable)
85 // if more than 4 consecutive input numbers are of maximum value and
86 // has the the same sign as the impulse responses first taps.
87 // First 6 taps of the impulse response:
88 // 0.6399 0.5905 -0.3779 0.2418 -0.1547 0.0990
89
90 size_t i;
91 int16_t tmp16 = 0;
92 int32_t tmp32 = 0;
93 int32_t state32 = ((int32_t) (*filter_state) * (1 << 16)); // Q15
94
95 for (i = 0; i < data_length; i++) {
96 tmp32 = state32 + filter_coefficient * *data_in;
97 tmp16 = (int16_t) (tmp32 >> 16); // Q(-1)
98 *data_out++ = tmp16;
99 state32 = (*data_in * (1 << 14)) - filter_coefficient * tmp16; // Q14
100 state32 *= 2; // Q15.
101 data_in += 2;
102 }
103
104 *filter_state = (int16_t) (state32 >> 16); // Q(-1)
105 }
106
107 // Splits |data_in| into |hp_data_out| and |lp_data_out| corresponding to
108 // an upper (high pass) part and a lower (low pass) part respectively.
109 //
110 // - data_in [i] : Input audio data to be split into two frequency bands.
111 // - data_length [i] : Length of |data_in|.
112 // - upper_state [i/o] : State of the upper filter, given in Q(-1).
113 // - lower_state [i/o] : State of the lower filter, given in Q(-1).
114 // - hp_data_out [o] : Output audio data of the upper half of the spectrum.
115 // The length is |data_length| / 2.
116 // - lp_data_out [o] : Output audio data of the lower half of the spectrum.
117 // The length is |data_length| / 2.
SplitFilter(const int16_t * data_in,size_t data_length,int16_t * upper_state,int16_t * lower_state,int16_t * hp_data_out,int16_t * lp_data_out)118 static void SplitFilter(const int16_t* data_in, size_t data_length,
119 int16_t* upper_state, int16_t* lower_state,
120 int16_t* hp_data_out, int16_t* lp_data_out) {
121 size_t i;
122 size_t half_length = data_length >> 1; // Downsampling by 2.
123 int16_t tmp_out;
124
125 // All-pass filtering upper branch.
126 AllPassFilter(&data_in[0], half_length, kAllPassCoefsQ15[0], upper_state,
127 hp_data_out);
128
129 // All-pass filtering lower branch.
130 AllPassFilter(&data_in[1], half_length, kAllPassCoefsQ15[1], lower_state,
131 lp_data_out);
132
133 // Make LP and HP signals.
134 for (i = 0; i < half_length; i++) {
135 tmp_out = *hp_data_out;
136 *hp_data_out++ -= *lp_data_out;
137 *lp_data_out++ += tmp_out;
138 }
139 }
140
141 // Calculates the energy of |data_in| in dB, and also updates an overall
142 // |total_energy| if necessary.
143 //
144 // - data_in [i] : Input audio data for energy calculation.
145 // - data_length [i] : Length of input data.
146 // - offset [i] : Offset value added to |log_energy|.
147 // - total_energy [i/o] : An external energy updated with the energy of
148 // |data_in|.
149 // NOTE: |total_energy| is only updated if
150 // |total_energy| <= |kMinEnergy|.
151 // - log_energy [o] : 10 * log10("energy of |data_in|") given in Q4.
LogOfEnergy(const int16_t * data_in,size_t data_length,int16_t offset,int16_t * total_energy,int16_t * log_energy)152 static void LogOfEnergy(const int16_t* data_in, size_t data_length,
153 int16_t offset, int16_t* total_energy,
154 int16_t* log_energy) {
155 // |tot_rshifts| accumulates the number of right shifts performed on |energy|.
156 int tot_rshifts = 0;
157 // The |energy| will be normalized to 15 bits. We use unsigned integer because
158 // we eventually will mask out the fractional part.
159 uint32_t energy = 0;
160
161 RTC_DCHECK(data_in);
162 RTC_DCHECK_GT(data_length, 0);
163
164 energy = (uint32_t) WebRtcSpl_Energy((int16_t*) data_in, data_length,
165 &tot_rshifts);
166
167 if (energy != 0) {
168 // By construction, normalizing to 15 bits is equivalent with 17 leading
169 // zeros of an unsigned 32 bit value.
170 int normalizing_rshifts = 17 - WebRtcSpl_NormU32(energy);
171 // In a 15 bit representation the leading bit is 2^14. log2(2^14) in Q10 is
172 // (14 << 10), which is what we initialize |log2_energy| with. For a more
173 // detailed derivations, see below.
174 int16_t log2_energy = kLogEnergyIntPart;
175
176 tot_rshifts += normalizing_rshifts;
177 // Normalize |energy| to 15 bits.
178 // |tot_rshifts| is now the total number of right shifts performed on
179 // |energy| after normalization. This means that |energy| is in
180 // Q(-tot_rshifts).
181 if (normalizing_rshifts < 0) {
182 energy <<= -normalizing_rshifts;
183 } else {
184 energy >>= normalizing_rshifts;
185 }
186
187 // Calculate the energy of |data_in| in dB, in Q4.
188 //
189 // 10 * log10("true energy") in Q4 = 2^4 * 10 * log10("true energy") =
190 // 160 * log10(|energy| * 2^|tot_rshifts|) =
191 // 160 * log10(2) * log2(|energy| * 2^|tot_rshifts|) =
192 // 160 * log10(2) * (log2(|energy|) + log2(2^|tot_rshifts|)) =
193 // (160 * log10(2)) * (log2(|energy|) + |tot_rshifts|) =
194 // |kLogConst| * (|log2_energy| + |tot_rshifts|)
195 //
196 // We know by construction that |energy| is normalized to 15 bits. Hence,
197 // |energy| = 2^14 + frac_Q15, where frac_Q15 is a fractional part in Q15.
198 // Further, we'd like |log2_energy| in Q10
199 // log2(|energy|) in Q10 = 2^10 * log2(2^14 + frac_Q15) =
200 // 2^10 * log2(2^14 * (1 + frac_Q15 * 2^-14)) =
201 // 2^10 * (14 + log2(1 + frac_Q15 * 2^-14)) ~=
202 // (14 << 10) + 2^10 * (frac_Q15 * 2^-14) =
203 // (14 << 10) + (frac_Q15 * 2^-4) = (14 << 10) + (frac_Q15 >> 4)
204 //
205 // Note that frac_Q15 = (|energy| & 0x00003FFF)
206
207 // Calculate and add the fractional part to |log2_energy|.
208 log2_energy += (int16_t) ((energy & 0x00003FFF) >> 4);
209
210 // |kLogConst| is in Q9, |log2_energy| in Q10 and |tot_rshifts| in Q0.
211 // Note that we in our derivation above have accounted for an output in Q4.
212 *log_energy = (int16_t)(((kLogConst * log2_energy) >> 19) +
213 ((tot_rshifts * kLogConst) >> 9));
214
215 if (*log_energy < 0) {
216 *log_energy = 0;
217 }
218 } else {
219 *log_energy = offset;
220 return;
221 }
222
223 *log_energy += offset;
224
225 // Update the approximate |total_energy| with the energy of |data_in|, if
226 // |total_energy| has not exceeded |kMinEnergy|. |total_energy| is used as an
227 // energy indicator in WebRtcVad_GmmProbability() in vad_core.c.
228 if (*total_energy <= kMinEnergy) {
229 if (tot_rshifts >= 0) {
230 // We know by construction that the |energy| > |kMinEnergy| in Q0, so add
231 // an arbitrary value such that |total_energy| exceeds |kMinEnergy|.
232 *total_energy += kMinEnergy + 1;
233 } else {
234 // By construction |energy| is represented by 15 bits, hence any number of
235 // right shifted |energy| will fit in an int16_t. In addition, adding the
236 // value to |total_energy| is wrap around safe as long as
237 // |kMinEnergy| < 8192.
238 *total_energy += (int16_t) (energy >> -tot_rshifts); // Q0.
239 }
240 }
241 }
242
WebRtcVad_CalculateFeatures(VadInstT * self,const int16_t * data_in,size_t data_length,int16_t * features)243 int16_t WebRtcVad_CalculateFeatures(VadInstT* self, const int16_t* data_in,
244 size_t data_length, int16_t* features) {
245 int16_t total_energy = 0;
246 // We expect |data_length| to be 80, 160 or 240 samples, which corresponds to
247 // 10, 20 or 30 ms in 8 kHz. Therefore, the intermediate downsampled data will
248 // have at most 120 samples after the first split and at most 60 samples after
249 // the second split.
250 int16_t hp_120[120], lp_120[120];
251 int16_t hp_60[60], lp_60[60];
252 const size_t half_data_length = data_length >> 1;
253 size_t length = half_data_length; // |data_length| / 2, corresponds to
254 // bandwidth = 2000 Hz after downsampling.
255
256 // Initialize variables for the first SplitFilter().
257 int frequency_band = 0;
258 const int16_t* in_ptr = data_in; // [0 - 4000] Hz.
259 int16_t* hp_out_ptr = hp_120; // [2000 - 4000] Hz.
260 int16_t* lp_out_ptr = lp_120; // [0 - 2000] Hz.
261
262 RTC_DCHECK_LE(data_length, 240);
263 RTC_DCHECK_LT(4, kNumChannels - 1); // Checking maximum |frequency_band|.
264
265 // Split at 2000 Hz and downsample.
266 SplitFilter(in_ptr, data_length, &self->upper_state[frequency_band],
267 &self->lower_state[frequency_band], hp_out_ptr, lp_out_ptr);
268
269 // For the upper band (2000 Hz - 4000 Hz) split at 3000 Hz and downsample.
270 frequency_band = 1;
271 in_ptr = hp_120; // [2000 - 4000] Hz.
272 hp_out_ptr = hp_60; // [3000 - 4000] Hz.
273 lp_out_ptr = lp_60; // [2000 - 3000] Hz.
274 SplitFilter(in_ptr, length, &self->upper_state[frequency_band],
275 &self->lower_state[frequency_band], hp_out_ptr, lp_out_ptr);
276
277 // Energy in 3000 Hz - 4000 Hz.
278 length >>= 1; // |data_length| / 4 <=> bandwidth = 1000 Hz.
279
280 LogOfEnergy(hp_60, length, kOffsetVector[5], &total_energy, &features[5]);
281
282 // Energy in 2000 Hz - 3000 Hz.
283 LogOfEnergy(lp_60, length, kOffsetVector[4], &total_energy, &features[4]);
284
285 // For the lower band (0 Hz - 2000 Hz) split at 1000 Hz and downsample.
286 frequency_band = 2;
287 in_ptr = lp_120; // [0 - 2000] Hz.
288 hp_out_ptr = hp_60; // [1000 - 2000] Hz.
289 lp_out_ptr = lp_60; // [0 - 1000] Hz.
290 length = half_data_length; // |data_length| / 2 <=> bandwidth = 2000 Hz.
291 SplitFilter(in_ptr, length, &self->upper_state[frequency_band],
292 &self->lower_state[frequency_band], hp_out_ptr, lp_out_ptr);
293
294 // Energy in 1000 Hz - 2000 Hz.
295 length >>= 1; // |data_length| / 4 <=> bandwidth = 1000 Hz.
296 LogOfEnergy(hp_60, length, kOffsetVector[3], &total_energy, &features[3]);
297
298 // For the lower band (0 Hz - 1000 Hz) split at 500 Hz and downsample.
299 frequency_band = 3;
300 in_ptr = lp_60; // [0 - 1000] Hz.
301 hp_out_ptr = hp_120; // [500 - 1000] Hz.
302 lp_out_ptr = lp_120; // [0 - 500] Hz.
303 SplitFilter(in_ptr, length, &self->upper_state[frequency_band],
304 &self->lower_state[frequency_band], hp_out_ptr, lp_out_ptr);
305
306 // Energy in 500 Hz - 1000 Hz.
307 length >>= 1; // |data_length| / 8 <=> bandwidth = 500 Hz.
308 LogOfEnergy(hp_120, length, kOffsetVector[2], &total_energy, &features[2]);
309
310 // For the lower band (0 Hz - 500 Hz) split at 250 Hz and downsample.
311 frequency_band = 4;
312 in_ptr = lp_120; // [0 - 500] Hz.
313 hp_out_ptr = hp_60; // [250 - 500] Hz.
314 lp_out_ptr = lp_60; // [0 - 250] Hz.
315 SplitFilter(in_ptr, length, &self->upper_state[frequency_band],
316 &self->lower_state[frequency_band], hp_out_ptr, lp_out_ptr);
317
318 // Energy in 250 Hz - 500 Hz.
319 length >>= 1; // |data_length| / 16 <=> bandwidth = 250 Hz.
320 LogOfEnergy(hp_60, length, kOffsetVector[1], &total_energy, &features[1]);
321
322 // Remove 0 Hz - 80 Hz, by high pass filtering the lower band.
323 HighPassFilter(lp_60, length, self->hp_filter_state, hp_120);
324
325 // Energy in 80 Hz - 250 Hz.
326 LogOfEnergy(hp_120, length, kOffsetVector[0], &total_energy, &features[0]);
327
328 return total_energy;
329 }
330