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OpenSolaris 2009.06 - man page for mlib_signalcepstral_s16 (opensolaris section 3mlib)

mlib_SignalCepstral_S16(3MLIB)				    mediaLib Library Functions				    mlib_SignalCepstral_S16(3MLIB)

mlib_SignalCepstral_S16 - perform cepstral analysis
cc [ flag... ] file... -lmlib [ library... ] #include <mlib.h> mlib_status mlib_SignalCepstral_S16(mlib_s16 *cepst, mlib_s32 cscale, const mlib_s16 *signal, void *state);
The mlib_SignalCepstral_S16() function performs cepstral analysis. The user supplied scaling factor will be used and the output will be saturated if necessary. 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.
The function takes the following arguments: cepst The cepstral coefficients. cscale The scaling factor of cepstral coefficients, where actual_data = output_data * 2**(-scaling_factor). signal The input signal vector, the signal samples are in Q15 format. state Pointer to the internal state structure.
The function returns MLIB_SUCCESS if successful. Otherwise it returns MLIB_FAILURE.
See attributes(5) for descriptions of the following attributes: +-----------------------------+-----------------------------+ | ATTRIBUTE TYPE | ATTRIBUTE VALUE | +-----------------------------+-----------------------------+ |Interface Stability |Committed | +-----------------------------+-----------------------------+ |MT-Level |MT-Safe | +-----------------------------+-----------------------------+
mlib_SignalCepstralInit_S16(3MLIB), mlib_SignalCepstral_S16_Adp(3MLIB), mlib_SignalCepstralFree_S16(3MLIB), attributes(5) SunOS 5.11 2 Mar 2007 mlib_SignalCepstral_S16(3MLIB)

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