Consider the signal ?(n) = an u(n), 0? (a) Show that any sequence x(n) can be decomposed
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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).
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Related Book For
Digital Signal Processing
ISBN: ?978-0133737622
3rd Edition
Authors: Jonh G. Proakis, Dimitris G.Manolakis
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