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Evaluate the convolution of the two sequences h(n) = (0.5)"u(n) (0.5)"u(n) and_x(n) = and _x(n) = 3" u(−n) To evaluate t
Posted: Tue May 24, 2022 9:18 am
by answerhappygod
- Evaluate The Convolution Of The Two Sequences H N 0 5 U N 0 5 U N And X N And X N 3 U N To Evaluate T 1 (183.85 KiB) Viewed 14 times
Evaluate the convolution of the two sequences h(n) = (0.5)"u(n) (0.5)"u(n) and_x(n) = and _x(n) = 3" u(−n) To evaluate this convolution, we will use the convolution property of the z-transform. The z-transform of h(n) is 1 H(z) = |z| > 1/1/1 1 and the z-transform of x(n) may be found from the time-reversal and shift properties, or directly as follows: X(z) = Σ x(n)==" Σ 3" z " 11=-∞0 11=100 1 3z-1 = = Σ( ; ²)" = |Z| < 3 1-3z-1 n=0 Therefore, the z-transform of the convolution, y(n) = x(n) * h(n), is 1 3z-1 Y(z) T 1 - 3z-1 - = 0