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

Answer» 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).


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