Question: A linear time-invariant system has impulse response h[n] = n u[n]. (a) Determine y 1 [n], the response of the system to the input

A linear time-invariant system has impulse response h[n] = αnu[n].

(a) Determine y1[n], the response of the system to the input x1[n] = ej(π/2)n.

(b) Use the result of Part(a) to help to determine y2[n], the response of the system to the input x2[n] = cos(π n /2).

(c) Determine y3[n], the response of the system to the input x3[n] = ej(π/2)nu[n].

(d) Compare y3[n] with y1[n] for large n.

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