Question

Problem 4 Let hn] be the sequence whose Fourier transform H(w) is real and as follows and let g[n] = (-1)"h[n] a-3 pts) Plot G(w) for w E-π, π]. Detail your derivations. Make sure to show the maximuin value of G(w) b - [2 pts| Derive explicitly the impulse response of the following system n] Hint: Besides some graphical consideration, there is no calculation. The answer is mostly based orn the use of properties. c - 3 pts] Up to a scaling factor, find all possible inputs that are canceled by the system shown below and plot them for n =-3,-2, , 3. En]

Answer 1

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