A signal mt bandlimited to 10kHz is sampled at a rate 80 hig

A signal m(t) band-limited to 10kHz is sampled at a rate 80% higher than Nyquist rate. Find Nyquist rate, Nyquist interval and Sampling rate. Also what is the sampling frequency range with signal distortion?

Solution

bandwidth = 10kHz=W

nyquist rate= 2W =20kHz

sampling rate = 80% higher than nyquist => 1.8*20kHz =36kHz=fs

nyquist interval Ts= 1/fs = 1/36000 =2.78*10^-5 seconds

signal gets distorted when fs<= 2W