stsolv.3

来自「speech signal process tools」· 3 代码 · 共 62 行

.\" Copyright (c) 1988 Entropic Speech, Inc. All rights reserved.
.\" @(#)stsolv.3	1.1	20 Jun 1988	ESI
.TH STSOLV 3\-ESPSsp 20 Jun 1988
.ds ]W "\fI\s+4\ze\h'0.05'e\s-4\v'-0.4m'\fP\(*p\v'0.4m'\ Entropic Speech, Inc.
.SH NAME
stsolv \- solve a real symmetric Toeplitz system of linear equations by Levinson's method.
.SH SYNOPSIS
.ft B
.nf
int
stsolv(r, v, order, w)
double  *r, *v;
int	order;
double  *w;
.fi
.ft
.SH DESCRIPTION
.PP
This function solves the system of equations
.PP
.I Rw = v
.PP
where  R  is a Toeplitz matrix with coefficients given by
.PP
.I R\d\s-3ij\s+3\u = r\d\s-3|i\-j|\s+3\u
.PP
The input vectors
.I r
and
.I v
and the output vector
.I w
are of
length
.I order
+ 1
with indices running from 0 to
.I order.
In the intended applications,
.I R
is an autocorrelation matrix;
it should be positive definite.
Levinson's method is used \-
reflection coefficients are computed as intermediate results,
and the computation halts if a reflecton coefficient with
magnitude 1 or greater is computed.
In that case
.I w
will be the solution of a system of smaller order,
indicated by the return value of the function.
The return value upon normal completion is equal to
.I order,
and \-1 indicates that
.IR r [0]
equals 0.
.SH BUGS
None known.
.SH "SEE ALSO"
toep_solv(1\-ESPS), auto(1\-ESPS), cross_cor(1\-ESPS)
.SH AUTHOR
Rodney Johnson