MATLAB Answers

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

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Aman Mann
Aman Mann on 26 Mar 2020
Answered: Divya Yerraguntla on 31 Mar 2020
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

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Answers (1)

Divya Yerraguntla
Divya Yerraguntla on 31 Mar 2020
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!

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