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O Consider discrete time LTI systems with the following impulse responses: System 1: h₁[n] = (-2/3)"u[n = 2] - System 2: h2[n] = 2"u[3 n] System 3: h3[n] = 2" un — 3] - System 4: ha[n] = u[n − 1] - u[n - 8] - System 5: h[n] = d[n + 2] − d[n = 8]. - (a) For each of the preceding systems, state whether it is (i) causal (ii) stable. Justify your answers.

O Consider discrete time LTI systems with the following impulse responses: System 1: h₁[n] = (-2/3)"u[n = 2] - System 2: h2[n] = 2"u[3 n] System 3: h3[n] = 2" un — 3] - System 4: ha[n] = u[n − 1] - u[n - 8] - System 5: h[n] = d[n + 2] − d[n = 8]. - (a) For each of the preceding systems, state whether it is (i) causal (ii) stable. Justify your answers.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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O Consider discrete time LTI systems with the following impulse responses: System 1: h₁[n] = (-2/3)"u[n = 2] - System 2: h2[n] = 2"u[3 n] System 3: h3[n] = 2" un — 3] - System 4: ha[n] = u[n − 1] - u[n - 8] - System 5: h[n] = d[n + 2] − d[n = 8]. - (a) For each of the preceding systems, state whether it is (i) causal (ii) stable. Justify your answers.
Transcribed Image Text:O Consider discrete time LTI systems with the following impulse responses: System 1: h₁[n] = (-2/3)"u[n = 2] - System 2: h2[n] = 2"u[3 n] System 3: h3[n] = 2" un — 3] - System 4: ha[n] = u[n − 1] - u[n - 8] - System 5: h[n] = d[n + 2] − d[n = 8]. - (a) For each of the preceding systems, state whether it is (i) causal (ii) stable. Justify your answers.
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