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-0B-2 0.25 cos (2t 0.125p)C-2 0.5 cos (2t 0.125p)D-2 0.5 cos (2t 0.25p)-D-2 0.5 cos (2t 0.25p)

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APTITUDE CRACK · Accepted Answer

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).

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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

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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

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