Exam Questions Papers - Engineering

Q1:

The impulse response h(t) of a linear invariant continuous time system is given by h(t) = exp (- 2t) u(t), where u(t) denotes the unit step function. The output of this system to the sinusoidal input x(t) = 2cos(2t) for all time t, is

A 0

B 2-0.25 cos (2t - 0.125p)

C 2-0.5 cos (2t - 0.125p)

D 2-0.5 cos (2t - 0.25p)

ANS:D - 2-0.5 cos (2t - 0.25p)

When input is sinusoidal then output is also sinusoidal with same frequency but amplitude and phase changes. Thus amplitude is Phase is tan-1 = 0.25 p Thus y(t) = 2-0.5 cos(2t - 0.25p).