2.2 A discrete-time signal x(n) is shown in Fig. P2.2. Sketch and label carefully each ofthe following signals130 Chapter 2 Discrete-Time Signals and Systems(n)11 1 11Figure P2.2-2-10 1 2 34(a) x(n-2) (b) x(4-n) (c) x(n 2) (d) x(n)u(2-n) (e) x(n-1)8(n-3)(f) x(n²) (g) even part of x(n) (h) odd part of x(n)2.3 Show that(a) 8(n) = u(n) - u(n-1)18(b) u(n) = ∑k=-∞^∞ δ(k) = ∑k=-∞^∞ δ(n - k)2.4 Show that any signal can be decomposed into an even and an odd component. Is thedecomposition unique? Illustr
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