How can i sample the function y(t) = sin(200πt) --> y[n] = sin(200πn)

a) using sampling rate 400 Hz

b) using sampling rate 100 Hz

c) using sampling rate 90 Hz

Over the interval [0; 5T ] (T=period ) and Also, draw a graph of the original function for each subplot.

Answer 1

[Pratyush Roy]

Hi,

The following code snippet might be helpful for generating discrete sequences under different sampling frequencies:

fs = 400 % It can be 100 or 90 Hz as well, depending on the application
n = 0:1/fs:5*T; % T is the period
y = sin(200*pi*n);
stem(y) %Creates a stem plot for the discrete signal. For a continuous plot, one can use plot(t) instead of stem(t)

Hope this helps!