Consider the signal ?(n) = an u(n), 0?

(a) Show that any sequence x(n) can be decomposed as and express ck in terms of x(n).

(b) Use the properties of linearity and time invariance to express the output y (n) = T [x (n)] in term of the input x(n) and the signal g(n) = T[?(n)], where T[.] is an LTI system.

(c) Express the impulse response h(n) = T[? (n)] in terms of g(n).

Transcribed Image Text:

> CAyin - k) x(n) CAYin =