Question

a signal x[n] = (5 − n)p5[n] is applied to an lsi system with frequency response h(e jω) = e −j ω 2 (6 cos ω 2 − 2 cos 3ω 2 ) determine the output y[n] and sketch v[n] = y[−n 4]

Answer 1

To determine the output y[n] and sketch v[n] = y[-n/4], we need to convolve the given signal with the impulse response of the LSI system.

Step-by-step explanation:

The given problem involves an LSI (Linear Shift-Invariant) system and a signal. To determine the output, we need to convolve the given signal with the impulse response of the system.

First, let's find the impulse response h[n] of the system by taking the inverse Fourier transform of H(e^jω).

Next, we can find the output y[n] by convolving the signal x[n] with the impulse response h[n].

To sketch v[n] = y[-n/4], we need to reverse the time axis of y[n] and then compress it by a factor of 4.