1 files changed, 83 insertions, 0 deletions
diff --git a/2.3-1/src/c/signalProcessing/lev/zleva2.c b/2.3-1/src/c/signalProcessing/lev/zleva2.c
new file mode 100644
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+++ b/2.3-1/src/c/signalProcessing/lev/zleva2.c
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+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ *  This file must be used under the terms of the CeCILL.
+ *  This source file is licensed as described in the file COPYING, which
+ *  you should have received as part of this distribution.  The terms
+ *  are also available at
+ *  http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+ 
+ 
+/*Resolve the Yule-Walker equations:
+
+       |r(0)   r(1)   ... r(N-1)|| a(1) | |sigma2|
+       |r(1)   r(0)   ... r(n-1)|| a(2) | |  0   |
+       |  :      :    ...    :  ||   :  |=|  0   |
+       |  :      :    ...    :  ||   :  | |  0   |
+       |r(N-1) r(N-2) ...  r(0) ||a(N-1)| |  0   |
+
+  using Levinson's algorithm.
+  r      :Correlation coefficients
+  ar     :Auto-Regressive model parameters
+  sigma2 :Scale constant
+  rc     :Reflection coefficients 
+*/
+
+#include <stdlib.h>
+#include "lev.h"
+#include "conj.h"
+#include "multiplication.h"
+#include "addition.h"
+#include "division.h"
+#include "subtraction.h"
+
+doubleComplex zleva2(doubleComplex* in,int size, doubleComplex* ar){
+	int i=0, j=0;
+	doubleComplex accu=DoubleComplex(0,0);
+	doubleComplex* ak1;
+	doubleComplex temp;
+	doubleComplex sigma2;
+	
+	/* FIXME : malloc here */ 
+	ak1=(doubleComplex*)malloc((unsigned int)size*sizeof(doubleComplex));
+	
+	/* initialize levinson's algorithm */
+	temp=zrdivs(in[1],in[0]);
+	ar[0]=DoubleComplex(-zreals(temp),-zimags(temp));
+	
+	temp = zmuls(ar[0],zconjs(ar[0]));
+	sigma2=zmuls(zdiffs(DoubleComplex(1,0), temp), in[0]);
+	
+	ak1[0]=DoubleComplex(0,0);
+	
+	/* iterative solution to yule-walker equations */
+	for (i=1;i<size-1;i++){
+		accu=DoubleComplex(0,0);
+		for (j=0;j<i;j++){
+			temp = zmuls(zconjs(ar[j]),zconjs(in[i-j]));
+			accu=zadds(accu, temp);
+		}
+		temp = zadds(in[i+1],accu);	
+		temp = zrdivs(temp,sigma2);
+		ak1[i]=DoubleComplex(-zreals(temp),-zimags(temp));
+		
+		for (j=0;j<i;j++){
+			temp = zmuls(ak1[i], zconjs(ar[i-1-j]));
+			ak1[j] = zadds(ar[j],temp);
+		}
+		
+		temp = zmuls(ak1[i], zconjs(ak1[i]));
+		temp = zdiffs(DoubleComplex(1,0),temp);
+		sigma2 = zmuls(temp,sigma2);
+		for (j=0;j<=i;j++){
+			ar[j]=DoubleComplex(zreals(ak1[j]),zimags(ak1[j]));
+		}
+	}	
+	free(ak1);
+	return sigma2;
+}
+
+