I need to under sample, perfect sample, and over sample a sinusoidal signal.

The signal is x(t) = sin(200*pi*t)

I need to under sample, perfect sample, and over sample this signal.

I know the frequency would be 100 Hz but after that I am lost entirely.

How would I approach this question in MatLab

Answer 1

[Divya Yerraguntla]

Hi Aman,

As the frequency of signal is 100Hz(f) the sampling frequency:

1. fs < 2f - under sampling
2. fs = 2f - perfect sampling
3. fs >2f - over sampling

To be able to sample signals with this sampling frequency and plot them in MATLAB you could use the following simple code:

t = 0:1/fs:1 % for every 1/fs second a sample of the sine wave would be taken
y = sin(2*pi*100*t) % input signal
plot(t,y)

By changing fs according to your requirement you could plot under sampled, perfectly sampled and over sampled signals.

Hope it helps!