3.48 The response of an LTI system to input $x(t) = e^{-3t} cos(4t) u(t)$ is output $y(t) = e^{-3t} sin(4t) u(t)$. Compute each of the following: (a) Frequency response $H(omega)$ (b) Poles and zeros of the system (c) LCCDE description of the system (d) Impulse response $h(t)$
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- Input: \( x(t) = e^{-3t} \cos(4t) u(t) \) - Output: \( y(t) = e^{-3t} \sin(4t) u(t) \) Show more…
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