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//Example 4.5
//MAXIMA SCILAB TOOLBOX REQUIRED FOR THIS PROGRAM
clear;
clc ;
close ;
syms b n z;
f1=b^n;
F1= symsum (f1*(z^(-n)),n ,0, %inf );
f2=b^-n;
F2= symsum (f2*(z^(-n)),n ,-%inf, -1 );
//Display the result in command window
F=F1+F2;
disp (F,"Z-transform of b^|n| is:");
disp('ROC is the Region b < mod(z) <1/b')
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