1mlib_SignalLPCAutoCorrelGetmPeAdRiCaOLRi_bSm1Ll6ii(bb3r_MaSLriIygBn)FaulnLcPtCiAountsoCorrelGetPARCOR_S16(3MLIB)
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NAME

6       mlib_SignalLPCAutoCorrelGetPARCOR_S16,  mlib_SignalLPCAutoCorrelGetPAR‐
7       COR_S16_Adp - return the partial correlation (PARCOR) coefficients
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SYNOPSIS

10       cc [ flag... ] file... -lmlib [ library... ]
11       #include <mlib.h>
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13       mlib_status mlib_SignalLPCAutoCorrelGetPARCOR_S16(
14            mlib_s16 *parcor, mlib_s32 pscale, void *state);
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17       mlib_status mlib_SignalLPCAutoCorrelGetPARCOR_S16_Adp(
18            mlib_s16 *parcor, mlib_s32 *pscale, void *state);
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20

DESCRIPTION

22       Each of the functions returns the partial correlation (PARCOR)  coeffi‐
23       cients.
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26       In  linear  predictive coding (LPC) model, each speech sample is repre‐
27       sented as a linear combination of the past M samples.
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29                      M
30              s(n) = SUM a(i) * s(n-i) + G * u(n)
31                     i=1
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35       where s(*) is the speech signal, u(*) is the excitation signal,  and  G
36       is  the gain constants, M is the order of the linear prediction filter.
37       Given s(*), the goal is to find a set of coefficient  a(*)  that  mini‐
38       mizes the prediction error e(*).
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40                             M
41              e(n) = s(n) - SUM a(i) * s(n-i)
42                            i=1
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46       In  autocorrelation method, the coefficients can be obtained by solving
47       following set of linear equations.
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49               M
50              SUM a(i) * r(|i-k|) = r(k), k=1,...,M
51              i=1
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55       where
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57                    N-k-1
58              r(k) = SUM s(j) * s(j+k)
59                     j=0
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63       are the autocorrelation coefficients of s(*), N is the  length  of  the
64       input speech vector. r(0) is the energy of the speech signal.
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67       Note  that the autocorrelation matrix R is a Toeplitz matrix (symmetric
68       with all diagonal elements equal), and  the  equations  can  be  solved
69       efficiently with Levinson-Durbin algorithm.
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72       See  Fundamentals  of Speech Recognition by Lawrence Rabiner and Biing-
73       Hwang Juang, Prentice Hall, 1993.
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76       Note for functions with adaptive scaling (with _Adp postfix), the scal‐
77       ing  factor  of  the output data will be calculated based on the actual
78       data; for functions with non-adaptive scaling (without  _Adp  postfix),
79       the  user  supplied  scaling factor will be used and the output will be
80       saturated if necessary.
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PARAMETERS

83       Each function takes the following arguments:
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85       parcor    The partial correlation (PARCOR) coefficients.
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88       pscale    The scaling factor of the partial correlation (PARCOR)  coef‐
89                 ficients, where actual_data = output_data * 2**(-scaling_fac‐
90                 tor).
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93       state     Pointer to the internal state structure.
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RETURN VALUES

97       Each function returns MLIB_SUCCESS if successful. Otherwise it  returns
98       MLIB_FAILURE.
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ATTRIBUTES

101       See attributes(5) for descriptions of the following attributes:
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106       ┌─────────────────────────────┬─────────────────────────────┐
107       │      ATTRIBUTE TYPE         │      ATTRIBUTE VALUE        │
108       ├─────────────────────────────┼─────────────────────────────┤
109       │Interface Stability          │Committed                    │
110       ├─────────────────────────────┼─────────────────────────────┤
111       │MT-Level                     │MT-Safe                      │
112       └─────────────────────────────┴─────────────────────────────┘
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SEE ALSO

115       mlib_SignalLPCAutoCorrelInit_S16(3MLIB),         mlib_SignalLPCAutoCor‐
116       rel_S16(3MLIB), mlib_SignalLPCAutoCorrelGetEnergy_S16(3MLIB), mlib_Sig‐
117       nalLPCAutoCorrelFree_S16(3MLIB), attributes(5)
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121SunOS 5.11                        2mlMiabr_S2i0g0n7alLPCAutoCorrelGetPARCOR_S16(3MLIB)