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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_SignalLPC2Cepstral_F32(3MLIB)			    mediaLib Library Functions				mlib_SignalLPC2Cepstral_F32(3MLIB)

NAME
mlib_SignalLPC2Cepstral_F32 - convert linear prediction coefficients to cepstral coefficients SYNOPSIS
cc [ flag... ] file... -lmlib [ library... ] #include <mlib.h> mlib_status mlib_SignalLPC2Cepstral_F32(mlib_f32 *cepst, const mlib_f32 *lpc, mlib_f32 gain, mlib_s32 length, mlib_s32 order); DESCRIPTION
The mlib_SignalLPC2Cepstral_F32() function converts linear prediction coefficients to cepstral coefficients. The cepstral coefficients are the coefficients of the Fourier transform representation of the log magnitude spectrum. The LPC cepstral coefficients can be derived recursively from the LPC coefficients as following. c(0) = log(G) m-1 k c(m) = a(m) + SUM --- * c(k) * a(m-k), 1 <= m <= M k=1 m m-1 k c(m) = SUM --- * c(k) * a(m-k), m > M k=1 m 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. lpc The linear prediction coefficients. gain The gain of the LPC model. length The length of the cepstral coefficients. order The order of the linear prediction filter. 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_SignalLPC2Cepstral_S16(3MLIB), mlib_SignalLPC2Cepstral_S16_Adp(3MLIB), mlib_SignalLPC2Cepstral_F32(3MLIB), attributes(5) SunOS 5.11 2 Mar 2007 mlib_SignalLPC2Cepstral_F32(3MLIB)
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