An LTI system is described by the difference equation (a) When the input to this system is...

An LTI system is described by the difference equation

(a) When the input to this system is

 

Compute the values of y[n], over the index range 0 ≤ n ≤ 10.

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(b) For the previous part, plot both x[n] and y[n].

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(c) Determine the response of this system to a unit impulse input, that is, find the output y[n] = h[n] when the input is x[n] = δ[n]. Plot h[n] as a function of n.