Mercurial > octave
diff scripts/signal/yulewalker.m @ 3191:e4f4b2d26ee9
[project @ 1998-10-23 05:43:59 by jwe]
author | jwe |
---|---|
date | Fri, 23 Oct 1998 05:44:01 +0000 |
parents | |
children | f8dde1807dee |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/scripts/signal/yulewalker.m Fri Oct 23 05:44:01 1998 +0000 @@ -0,0 +1,52 @@ +## Copyright (C) 1995, 1996, 1997 Friedrich Leisch +## +## This program is free software; you can redistribute it and/or modify +## it under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 2, or (at your option) +## any later version. +## +## This program is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with this file. If not, write to the Free Software Foundation, +## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. + +## usage: [a, v] = yulewalker (c) +## +## fits an AR (p)-model with Yule-Walker estimates. +## c = [gamma_0, ..., gamma_p] autocovariances +## a .... AR coefficients +## v .... variance of white noise + +## Author: FL <Friedrich.Leisch@ci.tuwien.ac.at> +## Description: Fit AR model by Yule-Walker method + +function [a, v] = yulewalker (c) + + p = length (c) - 1; + + if (columns (c) > 1) + c = c'; + endif + + cp = c(2 : p+1); + CP = zeros(p, p); + + for i = 1:p + for j = 1:p + CP (i, j) = c (abs (i-j) + 1); + endfor + endfor + + a = inv (CP) * cp; + v = c(1) - a' * cp; + +endfunction + + + + +