Communication Systems - Engineering

Q1:

Consider a sampled signal y(t) = 5 x 10-6 x(t) where x(t) = 10 cos (8p x 103)t and ts = 100 μ sec. when y(t) is passed through an ideal low-pass filter with a cut off frequency of 5 kHz, the output of the filter is

A 5 x 10-6 cos (8p x 103)t

B 5 x 10-5 cos (8p x 103)t

C 5 x 10-1 cos(8p x 103)t

D 10 cos(8p x 103)t

ANS:B - 5 x 10-5 cos (8p x 103)t

Y(t) = 5 * 10^-6x(t),
Here x(t) = 10cos(8p*10^3)t,
= 5 * 10^-6 * 10cos(8p * 10^3)t,
= 5*10^-5 cos(8p*10^3)t.