EE342: MATLAB M-FILE FOR DEMONSTRATING NONUNIQUENESS OF DISCRETE-TIME SINUSOIDS

%
% Filename:  example3.m
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% Description:  M-file demonstrating nonuniqueness of DT sinusoids.
%

clear; figure(1); clf;              % clear memory and figure 1
k = 0:20;                           % DT values
f1a = cos(5.2*pi*k+0.1);            % original DT sinusoid 1
f1b = cos(-0.8*pi*k+0.1);           % DT sinusoid 1 with fund. freq.
f2a = cos(8.2*pi*k-0.2);            % original DT sinusoid 2
f2b = cos(0.2*pi*k-0.2);            % DT sinusoid 2 with fund. freq.

% ** Plot DT sinusoids **
subplot(2,2,1); stem(k,f1a,'filled'); grid;
xlabel('k'); ylabel('cos(5.2\pik + 0.1)');

subplot(2,2,2); stem(k,f1b,'filled'); grid;
xlabel('k'); ylabel('cos(-0.8\pik + 0.1)');

subplot(2,2,3); stem(k,f2a,'filled'); grid;
xlabel('k'); ylabel('cos(8.2\pik - 0.2)');

subplot(2,2,4); stem(k,f2b,'filled'); grid;
xlabel('k'); ylabel('cos(0.2\pik -0.2)');