matlab program for sampling theorem

%sampling theorm
clear all;
t=-10:.01:10;                         %t vector
T=8;                                  %time period
fm=1/T;                               %frequency
x=cos(2*pi*fm*t); %cos wave
fs1=1.6*fm;                           %fs<2fm
fs2=2*fm;                             %fs=2fm
fs3=8*fm;                             %fs>2fm
n1=-4:1:4;                            %index vector
xn1=cos(2*pi*n1*fm/fs1);%aliasing
subplot(2,2,1);
plot(t,x);
xlabel('time in sec');
ylabel('x(t)');
title('continuous time signal');
subplot(2,2,2);
stem(n1,xn1);                          %aliasing discrete
hold on;
plot(n1,xn1);                          %aliasing cont
xlabel('n');
ylabel('x(n)');
title('discrete time s/g with fs<2fm');
n2=-5:1:5;                             %time index
xn2=cos(2*pi*n2*fm/fs2);               %fs=2fm
subplot(2,2,3);
stem(n2,xn2);                          %sampling for fs=2fm
hold on;
plot(n2,xn2);                          %ploting fs=2fm
xlabel('n');
ylabel('x(n)');
title('discrete time s/g with fs=2fm');
n3=-20:1:20;                              %time index
xn3=cos(2*pi*n3*fm/fs3);                  %fs>2fm
subplot(2,2,4);
stem(n3,xn3);                             %samples for fs>2fm
hold on;
plot(n3,xn3);                             %ploting fs>2fm
xlabel('n');
ylabel('x(n)');
title('discrete time s/g with fs>2fm');

output

 

tags:matlab program for sampling theorm sampling methods matlab sampling generation using matlab