A sampling system is operated at a sampling time of 001 sec

A sampling system is operated at a sampling time of 0.01 sec. What is the cut off frequency of the anti aliasing filter.

Solution

Sampling time is given T = 0.01 sec

Sampling frequency f_s = 1/T = 1/0.01 = 100 Hz

We know that to avoid aliasing the sampling frequency should be greater that equal to twice the band limted frequency of signal

f_s >= 2f_m .

Anti aliasing filters are introduced to decrease higher frequency in band limiting signals to avoid alising problem.

There fore the frequency of anti aliasing the cut off frequency of filter is f_m = f_s/2 = 50 Hz