Electronics and Communication Engineering - Exam Questions Papers - Discussion

Discussion Forum : Exam Questions Papers - Exam Paper 5 (Q.No. 35)
35.
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
0
2-0.25 cos (2t - 0.125p)
2-0.5 cos (2t - 0.125p)
2-0.5 cos (2t - 0.25p)
Answer: Option
Explanation:

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).

Discussion:
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