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//Example 4.2
//MAXIMA SCILAB TOOLBOX REQUIRED FOR THIS PROGRAM
clear;
clc ;
close ;
syms n z a;
f =e^(-n*a*T);
F= symsum (f*(z^(-n)),n ,0, %inf );
//Display the result in command window
disp (F,"Z-transform of e^(-a*n*T)u(n) is:");
disp('ROC is the Region mod(z) > mod(e^(-a*T))');
disp('Case 1: a is real ');
disp('ROC is the Region mod(z) > e^(-a*T)');
disp('Case 2: a is imaginary ');
disp('ROC is the Region mod(z) > 1');
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