mlib_signalcepstral_f32(3mlib) [opensolaris man page]
mlib_SignalCepstral_F32(3MLIB) mediaLib Library Functions mlib_SignalCepstral_F32(3MLIB) NAME
mlib_SignalCepstral_F32 - perform cepstral analysis SYNOPSIS
cc [ flag... ] file... -lmlib [ library... ] #include <mlib.h> mlib_status mlib_SignalCepstral_F32(mlib_f32 *cepst, const mlib_f32 *signal, void *state); DESCRIPTION
The mlib_SignalCepstral_F32() function performs cepstral analysis. The basic operations to compute the cepstrum is shown below. +-----------+ +--------+ +-----------+ | Fourier | | | | Inverse | ----->| |----->| log|*| |------>| Fourier |-----> x(n) | Transform | X(k) | | X'(k) | Transform | c(n) +-----------+ +--------+ +-----------+ where x(n) is the input signal and c(n) is its cepstrum. In mathematics, they are N-1 2*PI*k*n X(k) = SUM x(n) * exp(-j*----------) n=0 N X'(k) = log|X(k)| 1 N-1 2*PI*k*n c(n) = --- SUM X'(k) * exp(j*----------) N n=0 N Since X'(k) is real and even (symmetric), i.e. X'(k) = X'(N - k) the c(n) is real and the equation becomes Cosine transform. 1 N-1 2*PI*k*n c(n) = --- SUM X'(k) * cos(----------) N n=0 N The cepstral coefficients in LPC is a special case of the above. See Digital Signal Processing by Alan V. Oppenheim and Ronald W. Schafer, Prentice Hall, 1974. See Fundamentals of Speech Recognition by Lawrence Rabinerand Biing-Hwang Juang, Prentice Hall, 1993. PARAMETERS
The function takes the following arguments: cepst The cepstral coefficients. signal The input signal vector. state Pointer to the internal state structure. RETURN VALUES
The function returns MLIB_SUCCESS if successful. Otherwise it returns MLIB_FAILURE. ATTRIBUTES
See attributes(5) for descriptions of the following attributes: +-----------------------------+-----------------------------+ | ATTRIBUTE TYPE | ATTRIBUTE VALUE | +-----------------------------+-----------------------------+ |Interface Stability |Committed | +-----------------------------+-----------------------------+ |MT-Level |MT-Safe | +-----------------------------+-----------------------------+ SEE ALSO
mlib_SignalCepstralInit_F32(3MLIB), mlib_SignalCepstralFree_F32(3MLIB), attributes(5) SunOS 5.11 2 Mar 2007 mlib_SignalCepstral_F32(3MLIB)
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mlib_SignalMelCepstral_F32(3MLIB) mediaLib Library Functions mlib_SignalMelCepstral_F32(3MLIB) NAME
mlib_SignalMelCepstral_F32 - perform cepstral analysis in mel frequency scale SYNOPSIS
cc [ flag... ] file... -lmlib [ library... ] #include <mlib.h> mlib_status mlib_SignalMelCepstral_F32(mlib_f32 *cepst, const mlib_f32 *signal, void *state); DESCRIPTION
The mlib_SignalMelCepstral_F32() function performs cepstral analysis in mel frequency scale. The first two steps of mel scale cepstral analysis is the same as in general cepstral anaysis. After the logarithm of the spectrum magni- tude is obtained, it is converted into mel frequency scale before the inverse Fourier transform. +-----------+ +-----------+ | Linear | | Inverse | ... ------>| to |------->| Fourier |-----> X'(k) | Mel Scale | X''(m) | Transform | c(n) +-----------+ +-----------+ where X'(k) is defined in linear frequency scale and X''(m) is defined in mel frequency scale. The mel frequency scale is defined as following. freq_mel = melmul * LOG10(1 + freq_linear / meldiv) where freq_mel is the frequency in mel scale, freq_linear is the frequency in linear scale, melmul is the multiplying factor, muldiv is the dividing factor. Optionally, a bank of band pass filters in linear frequency scale can be used below the bank of band pass filters in mel frequency scale, as shown below in linear frequency scale. 0 f1 f2 f3 fp fp+1 fp+2 fp+3 fp+q |---|---|---| ... |---|----|-----| ... | ... -> freq where fp = melbgn, fp+q = melend, p = nlinear, q = nmel; the filters number 1 to p are defined in linear frequency scale which have equal bandwidth in linear frequency scale; the filters number p+1 to p+q are defined in mel frequency scale which have equal bandwidth in mel frequency scale and increasing bandwidth in linear frequency scale. See Digital Signal Processing by Alan V. Oppenheim and Ronald W. Schafer, Prentice Hall, 1974. See Fundamentals of Speech Recognition by Lawrence Rabiner and Biing-Hwang Juang, Prentice Hall, 1993. PARAMETERS
The function takes the following arguments: cepst The cepstral coefficients. signal The input signal vector. state Pointer to the internal state structure. RETURN VALUES
The function returns MLIB_SUCCESS if successful. Otherwise it returns MLIB_FAILURE. ATTRIBUTES
See attributes(5) for descriptions of the following attributes: +-----------------------------+-----------------------------+ | ATTRIBUTE TYPE | ATTRIBUTE VALUE | +-----------------------------+-----------------------------+ |Interface Stability |Committed | +-----------------------------+-----------------------------+ |MT-Level |MT-Safe | +-----------------------------+-----------------------------+ SEE ALSO
mlib_SignalMelCepstralInit_F32(3MLIB), mlib_SignalMelCepstralFree_F32(3MLIB), attributes(5) SunOS 5.11 2 Mar 2007 mlib_SignalMelCepstral_F32(3MLIB)