Question

An analog signal x(t) = cos(320πt) + 2 cos(480πt) – cos(960πt ) is
sampled with sampling frequency of 640 samples per second.
a. Find the Nyquist frequency and Nyquist rate in Hz.
b. Draw the Continuous Fourier Transform of x(t)
c. Find the sampled discrete signal x[n]
d. Draw the DTFT of x[n]. Find the frequencies present in the
discrete signal and explain your observations

Answer 1

Answer:

An analog signal x(t) = cos(320πt) + 2 cos(480πt) – cos(960πt ) is

sampled with sampling frequency of 640 samples per second.

a. Find the Nyquist frequency and Nyquist rate in Hz.

b. Draw the Continuous Fourier Transform of x(t)

c. Find the sampled discrete signal x[n]

d. Draw the DTFT of x[n]. Find the frequencies present in the

discrete signal and explain your observations