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Consider the cascade of LTI discrete-time systems shown in Figure P2.53-1. LTI system #1 LTI system #2 w[n] The first system is described by the equation The input to this system is H₂(e) = {1; 1, || < 0.5€, and the second system is described by the equation 0, 0.5ml <7, y[n] Figure P2.53-1 y[n] = w[n] - w[n 1]. x[n] = cos(0.67n) +38[n- 5] +2. Determine the output y[n]. With careful thought, you will be able to use the properties of LTI systems to write down the answer by inspection.

Consider the cascade of LTI discrete-time systems shown in Figure P2.53-1. LTI system #1 LTI system #2 w[n] The first system is described by the equation The input to this system is H₂(e) = {1; 1, || < 0.5€, and the second system is described by the equation 0, 0.5ml <7, y[n] Figure P2.53-1 y[n] = w[n] - w[n 1]. x[n] = cos(0.67n) +38[n- 5] +2. Determine the output y[n]. With careful thought, you will be able to use the properties of LTI systems to write down the answer by inspection.

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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Consider the cascade of LTI discrete-time systems shown in Figure P2.53-1. LTI system #1 LTI system #2 w[n] The first system is described by the equation H₂(ei) = {1; 1, and the second system is described by the equation The input to this system is || < 0.5€, 0, 0.5 < 1, y[n] = w[n] - w[n 1]. y[n] Figure P2.53-1 - x[n] = cos(0.67n) +38[n- 5] +2. Determine the output y[n]. With careful thought, you will be able to use the properties of LTI systems to write down the answer by inspection.
Transcribed Image Text:Consider the cascade of LTI discrete-time systems shown in Figure P2.53-1. LTI system #1 LTI system #2 w[n] The first system is described by the equation H₂(ei) = {1; 1, and the second system is described by the equation The input to this system is || < 0.5€, 0, 0.5 < 1, y[n] = w[n] - w[n 1]. y[n] Figure P2.53-1 - x[n] = cos(0.67n) +38[n- 5] +2. Determine the output y[n]. With careful thought, you will be able to use the properties of LTI systems to write down the answer by inspection.
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