Consider the interconnection of LTI systems as shown in Fig. P2.35. h (n) x(n) y(n) hi(n) hz(n) …

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Consider the interconnection of LTI systems as shown in Fig. P2.35. h (n) x(n) y(n) hi(n) hz(n) he(n) Figure P2.35 (a) Express the overall impulse response in terms of hi(n), h2(n), h3(n), and h4(n). (b) Determine h(n) when 1 1 1 hi(n) 2' 4'2 h2(n) = h3(n) = (n + 1)u(n) ) = h4(n) = 8(n - 2) (c) Determine the response of the system in part (b) if x(n) = 8(n + 2) + 38(n − 1) – 48(n − 3)

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