Manual Pages for UNIX Operating System command usage for man mlib_SignalLPCAutoCorrel_F32

mediaLib Library Functions    mlib_SignalLPCAutoCorrel_F32(3MLIB)



NAME
     mlib_SignalLPCAutoCorrel_F32  -  perform  linear  predictive
     coding with autocorrelation method

SYNOPSIS
     cc [ flag... ] file... -lmlib [ library... ]
     #include 

     mlib_status mlib_SignalLPCAutoCorrel_F32(mlib_f32 *coeff,
          const mlib_f32 *signal, void *state);


DESCRIPTION
     The mlib_SignalLPCAutoCorrel_F32() function performs  linear
     predictive coding with autocorrelation method.


     In linear predictive coding (LPC) model, each speech  sample
     is  represented  as  a linear combination of the past M sam-
     ples.

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



     where s(*) is the speech signal, u(*) is the excitation sig-
     nal,  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 minimizes the prediction error
     e(*).

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



     In autocorrelation method, the coefficients can be  obtained
     by solving following set of linear equations.

             M
            SUM a(i) * r(|i-k|) = r(k), k=1,...,M
            i=1



     where

                  N-k-1
            r(k) = SUM s(j) * s(j+k)



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mediaLib Library Functions    mlib_SignalLPCAutoCorrel_F32(3MLIB)



                   j=0



     are the autocorrelation  coefficients  of  s(*),  N  is  the
     length of the input speech vector. r(0) is the energy of the
     speech signal.


     Note that the autocorrelation matrix R is a Toeplitz  matrix
     (symmetric  with all diagonal elements equal), and the equa-
     tions can be solved efficiently with  Levinson-Durbin  algo-
     rithm.


     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  attri-
     butes:



     ____________________________________________________________
    |       ATTRIBUTE TYPE        |       ATTRIBUTE VALUE       |
    |_____________________________|_____________________________|
    | Interface Stability         | Committed                   |
    |_____________________________|_____________________________|
    | MT-Level                    | MT-Safe                     |
    |_____________________________|_____________________________|


SEE ALSO
     mlib_SignalLPCAutoCorrelInit_F32(3MLIB),
     mlib_SignalLPCAutoCorrelGetEnergy_F32(3MLIB),



SunOS 5.11           Last change: 2 Mar 2007                    2






mediaLib Library Functions    mlib_SignalLPCAutoCorrel_F32(3MLIB)



     mlib_SignalLPCAutoCorrelGetPARCOR_F32(3MLIB),
     mlib_SignalLPCAutoCorrelFree_F32(3MLIB), attributes(5)





















































SunOS 5.11           Last change: 2 Mar 2007                    3