mlib_SignalLPCCovariance_F32 man page on SunOS

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mlib_SignalLPCCovariance_FmediaLib)Library mlib_SignalLPCCovariance_F32(3MLIB)

NAME
       mlib_SignalLPCCovariance_F32  -	perform	 linear predictive coding with
       covariance method

SYNOPSIS
       cc [ flag... ] file... -lmlib [ library... ]
       #include <mlib.h>

       mlib_status mlib_SignalLPCCovariance_F32(mlib_f32 *coeff,
	   const mlib_f32 *signal, void *state);

DESCRIPTION
       The mlib_SignalLPCCovariance_F32() function performs linear  predictive
       coding with covariance method.

       In  linear  predictive coding (LPC) model, each speech sample is repre‐
       sented as a linear combination of the past M samples.

		      M
	      s(n) = SUM a(i) * s(n-i) + G * u(n)
		     i=1

       where s(*) is the speech signal, u(*) is the excitation signal,	and  G
       is  the gain constants, M is the order of the linear prediction filter.
       Given s(*), the goal is to find a set of coefficient  a(*)  that	 mini‐
       mizes the prediction error e(*).

			     M
	      e(n) = s(n) - SUM a(i) * s(n-i)
			    i=1

       In  covariance method, the coefficients can be obtained by solving fol‐
       lowing set of linear equations.

	       M
	      SUM a(i) * c(i,k) = c(0,k), k=1,...,M
	      i=1

       where

		       N-k-1
	      c(i,k) =	SUM s(j) * s(j+k-i)
			j=0

       are the covariance coefficients of s(*), N is the length of  the	 input
       speech vector.

       Note  that the covariance matrix R is a symmetric matrix, and the equa‐
       tions can be solved efficiently with Cholesky decomposition method.

       See Fundamentals of Speech Recognition by Lawrence Rabiner  and	Biing-
       Hwang Juang, Prentice Hall, 1993.

PARAMETERS
       The function takes the following arguments:

       coeff	 The linear prediction 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_SignalLPCCovarianceInit_F32(3MLIB),	     mlib_SignalLPCCovariance‐
       Free_F32(3MLIB), attributes(5)

SunOS 5.10			  2 Mar 200mlib_SignalLPCCovariance_F32(3MLIB)
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