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27 
28 #ifdef HAVE_CONFIG_H
29 #include "config.h"
30 #endif
31 
32 #include "main_FLP.h"
33 #include "tuning_parameters.h"
34 
35 /* Compute gain to make warped filter coefficients have a zero mean log frequency response on a   */
36 /* non-warped frequency scale. (So that it can be implemented with a minimum-phase monic filter.) */
37 /* Note: A monic filter is one with the first coefficient equal to 1.0. In Silk we omit the first */
38 /* coefficient in an array of coefficients, for monic filters.                                    */
39 static inline silk_float warped_gain(
40     const silk_float     *coefs,
41     silk_float           lambda,
42     opus_int             order
43 ) {
44     opus_int   i;
45     silk_float gain;
46 
47     lambda = -lambda;
48     gain = coefs[ order - 1 ];
49     for( i = order - 2; i >= 0; i-- ) {
50         gain = lambda * gain + coefs[ i ];
51     }
52     return (silk_float)( 1.0f / ( 1.0f - lambda * gain ) );
53 }
54 
55 /* Convert warped filter coefficients to monic pseudo-warped coefficients and limit maximum     */
56 /* amplitude of monic warped coefficients by using bandwidth expansion on the true coefficients */
57 static inline void warped_true2monic_coefs(
58     silk_float           *coefs_syn,
59     silk_float           *coefs_ana,
60     silk_float           lambda,
61     silk_float           limit,
62     opus_int             order
63 ) {
64     opus_int   i, iter, ind = 0;
65     silk_float tmp, maxabs, chirp, gain_syn, gain_ana;
66 
67     /* Convert to monic coefficients */
68     for( i = order - 1; i > 0; i-- ) {
69         coefs_syn[ i - 1 ] -= lambda * coefs_syn[ i ];
70         coefs_ana[ i - 1 ] -= lambda * coefs_ana[ i ];
71     }
72     gain_syn = ( 1.0f - lambda * lambda ) / ( 1.0f + lambda * coefs_syn[ 0 ] );
73     gain_ana = ( 1.0f - lambda * lambda ) / ( 1.0f + lambda * coefs_ana[ 0 ] );
74     for( i = 0; i < order; i++ ) {
75         coefs_syn[ i ] *= gain_syn;
76         coefs_ana[ i ] *= gain_ana;
77     }
78 
79     /* Limit */
80     for( iter = 0; iter < 10; iter++ ) {
81         /* Find maximum absolute value */
82         maxabs = -1.0f;
83         for( i = 0; i < order; i++ ) {
84             tmp = silk_max( silk_abs_float( coefs_syn[ i ] ), silk_abs_float( coefs_ana[ i ] ) );
85             if( tmp > maxabs ) {
86                 maxabs = tmp;
87                 ind = i;
88             }
89         }
90         if( maxabs <= limit ) {
91             /* Coefficients are within range - done */
92             return;
93         }
94 
95         /* Convert back to true warped coefficients */
96         for( i = 1; i < order; i++ ) {
97             coefs_syn[ i - 1 ] += lambda * coefs_syn[ i ];
98             coefs_ana[ i - 1 ] += lambda * coefs_ana[ i ];
99         }
100         gain_syn = 1.0f / gain_syn;
101         gain_ana = 1.0f / gain_ana;
102         for( i = 0; i < order; i++ ) {
103             coefs_syn[ i ] *= gain_syn;
104             coefs_ana[ i ] *= gain_ana;
105         }
106 
107         /* Apply bandwidth expansion */
108         chirp = 0.99f - ( 0.8f + 0.1f * iter ) * ( maxabs - limit ) / ( maxabs * ( ind + 1 ) );
109         silk_bwexpander_FLP( coefs_syn, order, chirp );
110         silk_bwexpander_FLP( coefs_ana, order, chirp );
111 
112         /* Convert to monic warped coefficients */
113         for( i = order - 1; i > 0; i-- ) {
114             coefs_syn[ i - 1 ] -= lambda * coefs_syn[ i ];
115             coefs_ana[ i - 1 ] -= lambda * coefs_ana[ i ];
116         }
117         gain_syn = ( 1.0f - lambda * lambda ) / ( 1.0f + lambda * coefs_syn[ 0 ] );
118         gain_ana = ( 1.0f - lambda * lambda ) / ( 1.0f + lambda * coefs_ana[ 0 ] );
119         for( i = 0; i < order; i++ ) {
120             coefs_syn[ i ] *= gain_syn;
121             coefs_ana[ i ] *= gain_ana;
122         }
123     }
124     silk_assert( 0 );
125 }
126 
127 /* Compute noise shaping coefficients and initial gain values */
128 void silk_noise_shape_analysis_FLP(
129     silk_encoder_state_FLP          *psEnc,                             /* I/O  Encoder state FLP                           */
130     silk_encoder_control_FLP        *psEncCtrl,                         /* I/O  Encoder control FLP                         */
131     const silk_float                *pitch_res,                         /* I    LPC residual from pitch analysis            */
132     const silk_float                *x                                  /* I    Input signal [frame_length + la_shape]      */
133 )
134 {
135     silk_shape_state_FLP *psShapeSt = &psEnc->sShape;
136     opus_int     k, nSamples;
137     silk_float   SNR_adj_dB, HarmBoost, HarmShapeGain, Tilt;
138     silk_float   nrg, pre_nrg, log_energy, log_energy_prev, energy_variation;
139     silk_float   delta, BWExp1, BWExp2, gain_mult, gain_add, strength, b, warping;
140     silk_float   x_windowed[ SHAPE_LPC_WIN_MAX ];
141     silk_float   auto_corr[ MAX_SHAPE_LPC_ORDER + 1 ];
142     const silk_float *x_ptr, *pitch_res_ptr;
143 
144     /* Point to start of first LPC analysis block */
145     x_ptr = x - psEnc->sCmn.la_shape;
146 
147     /****************/
148     /* GAIN CONTROL */
149     /****************/
150     SNR_adj_dB = psEnc->sCmn.SNR_dB_Q7 * ( 1 / 128.0f );
151 
152     /* Input quality is the average of the quality in the lowest two VAD bands */
153     psEncCtrl->input_quality = 0.5f * ( psEnc->sCmn.input_quality_bands_Q15[ 0 ] + psEnc->sCmn.input_quality_bands_Q15[ 1 ] ) * ( 1.0f / 32768.0f );
154 
155     /* Coding quality level, between 0.0 and 1.0 */
156     psEncCtrl->coding_quality = silk_sigmoid( 0.25f * ( SNR_adj_dB - 20.0f ) );
157 
158     if( psEnc->sCmn.useCBR == 0 ) {
159         /* Reduce coding SNR during low speech activity */
160         b = 1.0f - psEnc->sCmn.speech_activity_Q8 * ( 1.0f /  256.0f );
161         SNR_adj_dB -= BG_SNR_DECR_dB * psEncCtrl->coding_quality * ( 0.5f + 0.5f * psEncCtrl->input_quality ) * b * b;
162     }
163 
164     if( psEnc->sCmn.indices.signalType == TYPE_VOICED ) {
165         /* Reduce gains for periodic signals */
166         SNR_adj_dB += HARM_SNR_INCR_dB * psEnc->LTPCorr;
167     } else {
168         /* For unvoiced signals and low-quality input, adjust the quality slower than SNR_dB setting */
169         SNR_adj_dB += ( -0.4f * psEnc->sCmn.SNR_dB_Q7 * ( 1 / 128.0f ) + 6.0f ) * ( 1.0f - psEncCtrl->input_quality );
170     }
171 
172     /*************************/
173     /* SPARSENESS PROCESSING */
174     /*************************/
175     /* Set quantizer offset */
176     if( psEnc->sCmn.indices.signalType == TYPE_VOICED ) {
177         /* Initially set to 0; may be overruled in process_gains(..) */
178         psEnc->sCmn.indices.quantOffsetType = 0;
179         psEncCtrl->sparseness = 0.0f;
180     } else {
181         /* Sparseness measure, based on relative fluctuations of energy per 2 milliseconds */
182         nSamples = 2 * psEnc->sCmn.fs_kHz;
183         energy_variation = 0.0f;
184         log_energy_prev  = 0.0f;
185         pitch_res_ptr = pitch_res;
186         for( k = 0; k < silk_SMULBB( SUB_FRAME_LENGTH_MS, psEnc->sCmn.nb_subfr ) / 2; k++ ) {
187             nrg = ( silk_float )nSamples + ( silk_float )silk_energy_FLP( pitch_res_ptr, nSamples );
188             log_energy = silk_log2( nrg );
189             if( k > 0 ) {
190                 energy_variation += silk_abs_float( log_energy - log_energy_prev );
191             }
192             log_energy_prev = log_energy;
193             pitch_res_ptr += nSamples;
194         }
195         psEncCtrl->sparseness = silk_sigmoid( 0.4f * ( energy_variation - 5.0f ) );
196 
197         /* Set quantization offset depending on sparseness measure */
198         if( psEncCtrl->sparseness > SPARSENESS_THRESHOLD_QNT_OFFSET ) {
199             psEnc->sCmn.indices.quantOffsetType = 0;
200         } else {
201             psEnc->sCmn.indices.quantOffsetType = 1;
202         }
203 
204         /* Increase coding SNR for sparse signals */
205         SNR_adj_dB += SPARSE_SNR_INCR_dB * ( psEncCtrl->sparseness - 0.5f );
206     }
207 
208     /*******************************/
209     /* Control bandwidth expansion */
210     /*******************************/
211     /* More BWE for signals with high prediction gain */
212     strength = FIND_PITCH_WHITE_NOISE_FRACTION * psEncCtrl->predGain;           /* between 0.0 and 1.0 */
213     BWExp1 = BWExp2 = BANDWIDTH_EXPANSION / ( 1.0f + strength * strength );
214     delta  = LOW_RATE_BANDWIDTH_EXPANSION_DELTA * ( 1.0f - 0.75f * psEncCtrl->coding_quality );
215     BWExp1 -= delta;
216     BWExp2 += delta;
217     /* BWExp1 will be applied after BWExp2, so make it relative */
218     BWExp1 /= BWExp2;
219 
220     if( psEnc->sCmn.warping_Q16 > 0 ) {
221         /* Slightly more warping in analysis will move quantization noise up in frequency, where it's better masked */
222         warping = (silk_float)psEnc->sCmn.warping_Q16 / 65536.0f + 0.01f * psEncCtrl->coding_quality;
223     } else {
224         warping = 0.0f;
225     }
226 
227     /********************************************/
228     /* Compute noise shaping AR coefs and gains */
229     /********************************************/
230     for( k = 0; k < psEnc->sCmn.nb_subfr; k++ ) {
231         /* Apply window: sine slope followed by flat part followed by cosine slope */
232         opus_int shift, slope_part, flat_part;
233         flat_part = psEnc->sCmn.fs_kHz * 3;
234         slope_part = ( psEnc->sCmn.shapeWinLength - flat_part ) / 2;
235 
236         silk_apply_sine_window_FLP( x_windowed, x_ptr, 1, slope_part );
237         shift = slope_part;
238         silk_memcpy( x_windowed + shift, x_ptr + shift, flat_part * sizeof(silk_float) );
239         shift += flat_part;
240         silk_apply_sine_window_FLP( x_windowed + shift, x_ptr + shift, 2, slope_part );
241 
242         /* Update pointer: next LPC analysis block */
243         x_ptr += psEnc->sCmn.subfr_length;
244 
245         if( psEnc->sCmn.warping_Q16 > 0 ) {
246             /* Calculate warped auto correlation */
247             silk_warped_autocorrelation_FLP( auto_corr, x_windowed, warping,
248                 psEnc->sCmn.shapeWinLength, psEnc->sCmn.shapingLPCOrder );
249         } else {
250             /* Calculate regular auto correlation */
251             silk_autocorrelation_FLP( auto_corr, x_windowed, psEnc->sCmn.shapeWinLength, psEnc->sCmn.shapingLPCOrder + 1 );
252         }
253 
254         /* Add white noise, as a fraction of energy */
255         auto_corr[ 0 ] += auto_corr[ 0 ] * SHAPE_WHITE_NOISE_FRACTION;
256 
257         /* Convert correlations to prediction coefficients, and compute residual energy */
258         nrg = silk_levinsondurbin_FLP( &psEncCtrl->AR2[ k * MAX_SHAPE_LPC_ORDER ], auto_corr, psEnc->sCmn.shapingLPCOrder );
259         psEncCtrl->Gains[ k ] = ( silk_float )sqrt( nrg );
260 
261         if( psEnc->sCmn.warping_Q16 > 0 ) {
262             /* Adjust gain for warping */
263             psEncCtrl->Gains[ k ] *= warped_gain( &psEncCtrl->AR2[ k * MAX_SHAPE_LPC_ORDER ], warping, psEnc->sCmn.shapingLPCOrder );
264         }
265 
266         /* Bandwidth expansion for synthesis filter shaping */
267         silk_bwexpander_FLP( &psEncCtrl->AR2[ k * MAX_SHAPE_LPC_ORDER ], psEnc->sCmn.shapingLPCOrder, BWExp2 );
268 
269         /* Compute noise shaping filter coefficients */
270         silk_memcpy(
271             &psEncCtrl->AR1[ k * MAX_SHAPE_LPC_ORDER ],
272             &psEncCtrl->AR2[ k * MAX_SHAPE_LPC_ORDER ],
273             psEnc->sCmn.shapingLPCOrder * sizeof( silk_float ) );
274 
275         /* Bandwidth expansion for analysis filter shaping */
276         silk_bwexpander_FLP( &psEncCtrl->AR1[ k * MAX_SHAPE_LPC_ORDER ], psEnc->sCmn.shapingLPCOrder, BWExp1 );
277 
278         /* Ratio of prediction gains, in energy domain */
279         pre_nrg = silk_LPC_inverse_pred_gain_FLP( &psEncCtrl->AR2[ k * MAX_SHAPE_LPC_ORDER ], psEnc->sCmn.shapingLPCOrder );
280         nrg     = silk_LPC_inverse_pred_gain_FLP( &psEncCtrl->AR1[ k * MAX_SHAPE_LPC_ORDER ], psEnc->sCmn.shapingLPCOrder );
281         psEncCtrl->GainsPre[ k ] = 1.0f - 0.7f * ( 1.0f - pre_nrg / nrg );
282 
283         /* Convert to monic warped prediction coefficients and limit absolute values */
284         warped_true2monic_coefs( &psEncCtrl->AR2[ k * MAX_SHAPE_LPC_ORDER ], &psEncCtrl->AR1[ k * MAX_SHAPE_LPC_ORDER ],
285             warping, 3.999f, psEnc->sCmn.shapingLPCOrder );
286     }
287 
288     /*****************/
289     /* Gain tweaking */
290     /*****************/
291     /* Increase gains during low speech activity */
292     gain_mult = (silk_float)pow( 2.0f, -0.16f * SNR_adj_dB );
293     gain_add  = (silk_float)pow( 2.0f,  0.16f * MIN_QGAIN_DB );
294     for( k = 0; k < psEnc->sCmn.nb_subfr; k++ ) {
295         psEncCtrl->Gains[ k ] *= gain_mult;
296         psEncCtrl->Gains[ k ] += gain_add;
297     }
298 
299     gain_mult = 1.0f + INPUT_TILT + psEncCtrl->coding_quality * HIGH_RATE_INPUT_TILT;
300     for( k = 0; k < psEnc->sCmn.nb_subfr; k++ ) {
301         psEncCtrl->GainsPre[ k ] *= gain_mult;
302     }
303 
304     /************************************************/
305     /* Control low-frequency shaping and noise tilt */
306     /************************************************/
307     /* Less low frequency shaping for noisy inputs */
308     strength = LOW_FREQ_SHAPING * ( 1.0f + LOW_QUALITY_LOW_FREQ_SHAPING_DECR * ( psEnc->sCmn.input_quality_bands_Q15[ 0 ] * ( 1.0f / 32768.0f ) - 1.0f ) );
309     strength *= psEnc->sCmn.speech_activity_Q8 * ( 1.0f /  256.0f );
310     if( psEnc->sCmn.indices.signalType == TYPE_VOICED ) {
311         /* Reduce low frequencies quantization noise for periodic signals, depending on pitch lag */
312         /*f = 400; freqz([1, -0.98 + 2e-4 * f], [1, -0.97 + 7e-4 * f], 2^12, Fs); axis([0, 1000, -10, 1])*/
313         for( k = 0; k < psEnc->sCmn.nb_subfr; k++ ) {
314             b = 0.2f / psEnc->sCmn.fs_kHz + 3.0f / psEncCtrl->pitchL[ k ];
315             psEncCtrl->LF_MA_shp[ k ] = -1.0f + b;
316             psEncCtrl->LF_AR_shp[ k ] =  1.0f - b - b * strength;
317         }
318         Tilt = - HP_NOISE_COEF -
319             (1 - HP_NOISE_COEF) * HARM_HP_NOISE_COEF * psEnc->sCmn.speech_activity_Q8 * ( 1.0f /  256.0f );
320     } else {
321         b = 1.3f / psEnc->sCmn.fs_kHz;
322         psEncCtrl->LF_MA_shp[ 0 ] = -1.0f + b;
323         psEncCtrl->LF_AR_shp[ 0 ] =  1.0f - b - b * strength * 0.6f;
324         for( k = 1; k < psEnc->sCmn.nb_subfr; k++ ) {
325             psEncCtrl->LF_MA_shp[ k ] = psEncCtrl->LF_MA_shp[ 0 ];
326             psEncCtrl->LF_AR_shp[ k ] = psEncCtrl->LF_AR_shp[ 0 ];
327         }
328         Tilt = -HP_NOISE_COEF;
329     }
330 
331     /****************************/
332     /* HARMONIC SHAPING CONTROL */
333     /****************************/
334     /* Control boosting of harmonic frequencies */
335     HarmBoost = LOW_RATE_HARMONIC_BOOST * ( 1.0f - psEncCtrl->coding_quality ) * psEnc->LTPCorr;
336 
337     /* More harmonic boost for noisy input signals */
338     HarmBoost += LOW_INPUT_QUALITY_HARMONIC_BOOST * ( 1.0f - psEncCtrl->input_quality );
339 
340     if( USE_HARM_SHAPING && psEnc->sCmn.indices.signalType == TYPE_VOICED ) {
341         /* Harmonic noise shaping */
342         HarmShapeGain = HARMONIC_SHAPING;
343 
344         /* More harmonic noise shaping for high bitrates or noisy input */
345         HarmShapeGain += HIGH_RATE_OR_LOW_QUALITY_HARMONIC_SHAPING *
346             ( 1.0f - ( 1.0f - psEncCtrl->coding_quality ) * psEncCtrl->input_quality );
347 
348         /* Less harmonic noise shaping for less periodic signals */
349         HarmShapeGain *= ( silk_float )sqrt( psEnc->LTPCorr );
350     } else {
351         HarmShapeGain = 0.0f;
352     }
353 
354     /*************************/
355     /* Smooth over subframes */
356     /*************************/
357     for( k = 0; k < psEnc->sCmn.nb_subfr; k++ ) {
358         psShapeSt->HarmBoost_smth     += SUBFR_SMTH_COEF * ( HarmBoost - psShapeSt->HarmBoost_smth );
359         psEncCtrl->HarmBoost[ k ]      = psShapeSt->HarmBoost_smth;
360         psShapeSt->HarmShapeGain_smth += SUBFR_SMTH_COEF * ( HarmShapeGain - psShapeSt->HarmShapeGain_smth );
361         psEncCtrl->HarmShapeGain[ k ]  = psShapeSt->HarmShapeGain_smth;
362         psShapeSt->Tilt_smth          += SUBFR_SMTH_COEF * ( Tilt - psShapeSt->Tilt_smth );
363         psEncCtrl->Tilt[ k ]           = psShapeSt->Tilt_smth;
364     }
365 }
366