Consider a discrete-time LTI system described by the following time-domain relationship, where [n] is the system input and y[n] is the system output. a) 1 y[n] = x[n] + 2(x[n − 1] + x[n + 1]) Is the system causal? Why or why not? >) Find the frequency response of the system H(w): = Y(w) X(w) :) Plot the frequency response H(w) over the frequency range -2π ≤ w ≤ 2. Is the frequency response periodic in frequency? d) Find the output signal y[n] if the input signal is x[n] = eÌân

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