(a) Consider an LTI system whose frequency response is 4+j Determine the time domain output y(t) if the input to this system is the unit impulse (t) Hint: use long division and apply the linearity property.
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The frequency response is the Fourier Transform of the impulse response h(t) of the system: H(jω) = ∫[h(t)e^(-jωt)]dt In this case, we are given that the frequency response is 4+j. So, we can write: H(jω) = 4+j Now, let's find the impulse response h(t) by Show more…
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