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Diffstat (limited to 'sms/cepstrum.c')
-rw-r--r-- | sms/cepstrum.c | 259 |
1 files changed, 0 insertions, 259 deletions
diff --git a/sms/cepstrum.c b/sms/cepstrum.c deleted file mode 100644 index 8a56787..0000000 --- a/sms/cepstrum.c +++ /dev/null @@ -1,259 +0,0 @@ -/* - * Copyright (c) 2008 MUSIC TECHNOLOGY GROUP (MTG) - * UNIVERSITAT POMPEU FABRA - * - * - * This program is free software; you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation; either version 2 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program; if not, write to the Free Software - * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA - * - */ -/*! \file cepstrum.c - * \brief routines for different Fast Fourier Transform Algorithms - * - */ - -#include "sms.h" -#include <gsl/gsl_matrix.h> -#include <gsl/gsl_linalg.h> -#include <gsl/gsl_blas.h> - -#define COEF ( 8 * powf(PI, 2)) -#define CHOLESKY 1 - -typedef struct -{ - int nPoints; - int nCoeff; - gsl_matrix *pM; - gsl_matrix *pMt; - gsl_matrix *pR; - gsl_matrix *pMtMR; - gsl_vector *pXk; - gsl_vector *pMtXk; - gsl_vector *pC; - gsl_permutation *pPerm; -} CepstrumMatrices; - -void FreeDCepstrum(CepstrumMatrices *m) -{ - gsl_matrix_free(m->pM); - gsl_matrix_free(m->pMt); - gsl_matrix_free(m->pR); - gsl_matrix_free(m->pMtMR); - gsl_vector_free(m->pXk); - gsl_vector_free(m->pMtXk); - gsl_vector_free(m->pC); - gsl_permutation_free (m->pPerm); - -} - -void AllocateDCepstrum(int nPoints, int nCoeff, CepstrumMatrices *m) -{ - if(m->nPoints != 0 || m->nCoeff != 0) - FreeDCepstrum(m); - m->nPoints = nPoints; - m->nCoeff = nCoeff; - m->pM = gsl_matrix_alloc(nPoints, nCoeff); - m->pMt = gsl_matrix_alloc(nCoeff, nPoints); - m->pR = gsl_matrix_calloc(nCoeff, nCoeff); - m->pMtMR = gsl_matrix_alloc(nCoeff, nCoeff); - m->pXk = gsl_vector_alloc(nPoints); - m->pMtXk = gsl_vector_alloc(nCoeff); - m->pC = gsl_vector_alloc(nCoeff); - m->pPerm = gsl_permutation_alloc (nCoeff); -} - -/*! \brief Discrete Cepstrum Transform - * - * method for computing cepstrum aenalysis from a discrete - * set of partial peaks (frequency and amplitude) - * - * This implementation is owed to the help of Jordi Janer (thanks!) from the MTG, - * along with the following paper: - * "Regularization Techniques for Discrete Cepstrum Estimation" - * Olivier Cappe and Eric Moulines, IEEE Signal Processing Letters, Vol. 3 - * No.4, April 1996 - * - * \todo add anchor point add at frequency = 0 with the same magnitude as the first - * peak in pMag. This does not change the size of the cepstrum, only helps to smoothen it - * at the very beginning. - * - * \param sizeCepstrum order+1 of the discrete cepstrum - * \param pCepstrum pointer to output array of cepstrum coefficients - * \param sizeFreq number of partials peaks (the size of pFreq should be the same as pMag - * \param pFreq pointer to partial peak frequencies (hertz) - * \param pMag pointer to partial peak magnitudes (linear) - * \param fLambda regularization factor - * \param iMaxFreq maximum frequency of cepstrum - */ -void sms_dCepstrum( int sizeCepstrum, sfloat *pCepstrum, int sizeFreq, sfloat *pFreq, sfloat *pMag, - sfloat fLambda, int iMaxFreq) -{ - int i, k; - sfloat factor; - sfloat fNorm = PI / (sfloat)iMaxFreq; /* value to normalize frequencies to 0:0.5 */ - //static sizeCepstrumStatic - static CepstrumMatrices m; - //printf("nPoints: %d, nCoeff: %d \n", m.nPoints, m.nCoeff); - if(m.nPoints != sizeCepstrum || m.nCoeff != sizeFreq) - AllocateDCepstrum(sizeFreq, sizeCepstrum, &m); - int s; /* signum: "(-1)^n, where n is the number of interchanges in the permutation." */ - /* compute matrix M (eq. 4)*/ - for (i=0; i<sizeFreq; i++) - { - gsl_matrix_set (m.pM, i, 0, 1.); // first colum is all 1 - for (k=1; k <sizeCepstrum; k++) - gsl_matrix_set (m.pM, i, k , 2.*sms_sine(PI_2 + fNorm * k * pFreq[i]) ); - } - - /* compute transpose of M */ - gsl_matrix_transpose_memcpy (m.pMt, m.pM); - - /* compute R diagonal matrix (for eq. 7)*/ - factor = COEF * (fLambda / (1.-fLambda)); /* \todo why is this divided like this again? */ - for (k=0; k<sizeCepstrum; k++) - gsl_matrix_set(m.pR, k, k, factor * powf((sfloat) k,2.)); - - /* MtM = Mt * M, later will add R */ - gsl_blas_dgemm (CblasNoTrans, CblasNoTrans, 1., m.pMt, m.pM, 0.0, m.pMtMR); - /* add R to make MtMR */ - gsl_matrix_add (m.pMtMR, m.pR); - - /* set pMag in X and multiply with Mt to get pMtXk */ - for(k = 0; k <sizeFreq; k++) - gsl_vector_set(m.pXk, k, log(pMag[k])); - gsl_blas_dgemv (CblasNoTrans, 1., m.pMt, m.pXk, 0., m.pMtXk); - - /* solve x (the cepstrum) in Ax = b, where A=MtMR and b=pMtXk */ - - /* ==== the Cholesky Decomposition way ==== */ - /* MtM is 'symmetric and positive definite?' */ - //gsl_linalg_cholesky_decomp (m.pMtMR); - //gsl_linalg_cholesky_solve (m.pMtMR, m.pMtXk, m.pC); - - /* ==== the LU decomposition way ==== */ - gsl_linalg_LU_decomp (m.pMtMR, m.pPerm, &s); - gsl_linalg_LU_solve (m.pMtMR, m.pPerm, m.pMtXk, m.pC); - - - /* copy pC to pCepstrum */ - for(i = 0; i < sizeCepstrum; i++) - pCepstrum[i] = gsl_vector_get (m.pC, i); -} - -/*! \brief Spectrum Envelope from Cepstrum - * - * from a set of cepstrum coefficients, compute the spectrum envelope - * - * \param sizeCepstrum order + 1 of the cepstrum - * \param pCepstrum pointer to array of cepstrum coefficients - * \param sizeEnv size of spectrum envelope (max frequency in bins) \todo does this have to be a pow2 - * \param pEnv pointer to output spectrum envelope (real part only) - */ -void sms_dCepstrumEnvelope(int sizeCepstrum, sfloat *pCepstrum, int sizeEnv, sfloat *pEnv) -{ - - static sfloat *pFftBuffer; - static int sizeFftArray = 0; - int sizeFft = sizeEnv << 1; - int i; - if(sizeFftArray != sizeFft) - { - if(sizeFftArray != 0) free(pFftBuffer); - sizeFftArray = sms_power2(sizeFft); - if(sizeFftArray != sizeFft) - { - sms_error("bad fft size, incremented to power of 2"); - } - if ((pFftBuffer = (sfloat *) malloc(sizeFftArray * sizeof(sfloat))) == NULL) - { - sms_error("could not allocate memory for fft array"); - return; - } - } - memset(pFftBuffer, 0, sizeFftArray * sizeof(sfloat)); - - pFftBuffer[0] = pCepstrum[0] * 0.5; - for (i = 1; i < sizeCepstrum-1; i++) - pFftBuffer[i] = pCepstrum[i]; - - - sms_fft(sizeFftArray, pFftBuffer); - - for (i = 0; i < sizeEnv; i++) - pEnv[i] = powf(EXP, 2. * pFftBuffer[i*2]); -} - -/*! \brief main function for computing spectral envelope from sinusoidal peaks - * - * Magnitudes should already be in linear for this function. - * If pSmsData->iEnvelope == SMS_ENV_CEP, will return cepstrum coefficeints - * If pSmsData->iEnvelope == SMS_ENV_FBINS, will return linear magnitude spectrum - * - * \param pSmsData pointer to SMS_Data structure with all the arrays necessary - * \param pSpecEnvParams pointer to a structure of parameters for spectral enveloping - */ -void sms_spectralEnvelope( SMS_Data *pSmsData, SMS_SEnvParams *pSpecEnvParams) -{ - int i, k; - int sizeCepstrum = pSpecEnvParams->iOrder+1; - //int nPeaks = 0; - static sfloat pFreqBuff[1000], pMagBuff[1000]; - - /* \todo see if this memset is even necessary, once working */ - //memset(pSmsData->pSpecEnv, 0, pSpecEnvParams->nCoeff * sizeof(sfloat)); - - /* try to store cepstrum coefficients in pSmsData->nEnvCoeff always. - if cepstrum is what is wanted, memset the rest. otherwise, hand this array 2x to dCepstrumEnvelope */ - if(pSpecEnvParams->iOrder + 1> pSmsData->nEnvCoeff) - { - sms_error("cepstrum order is larger than the size of the spectral envelope"); - return; - } - - /* find out how many tracks were actually found... many are zero - \todo is this necessary? */ - for(i = 0, k=0; i < pSmsData->nTracks; i++) - { - if(pSmsData->pFSinFreq[i] > 0.00001) - { - if(pSpecEnvParams->iAnchor != 0) - { - if(k == 0) /* add anchor at beginning */ - - { - pFreqBuff[k] = 0.0; - pMagBuff[k] = pSmsData->pFSinAmp[i]; - k++; - } - } - pFreqBuff[k] = pSmsData->pFSinFreq[i]; - pMagBuff[k] = pSmsData->pFSinAmp[i]; - k++; - } - } - /* \todo see if adding an anchor at the max freq helps */ - - - if(k < 1) // how few can this be? try out a few in python - return; - sms_dCepstrum(sizeCepstrum, pSmsData->pSpecEnv, k, pFreqBuff, pMagBuff, - pSpecEnvParams->fLambda, pSpecEnvParams->iMaxFreq); - - if(pSpecEnvParams->iType == SMS_ENV_FBINS) - { - sms_dCepstrumEnvelope(sizeCepstrum, pSmsData->pSpecEnv, - pSpecEnvParams->nCoeff, pSmsData->pSpecEnv); - } -} |