1.31. In this problem, we illustrate one of the most important consequences of the prop-erties of linearity and time invariance. Specifically, once we know the responseof a linear system or a linear time-invariant (LTI) system to a single input or theresponses to several inputs, we can directly compute the responses to many otherinput signals. Much of the remainder of this book deals with a thorough exploitationof this fact in order to develop results and techniques for analyzing and synthesizingLTI systems.(b) Determine and sketch the response of the system considered in part (a) to theinput x3 (1) shown in Figure P1.31(d).X₁ (t)10X₂ (t)1 2(a)1(c)2 34Y₁ (t)210X3 (t)2-1 01(b)1(d)22ttFigure P1.31Note do NOT use synthetic multiplicationto solve convolution problems. You cancheck with this but you must demonstratethe other processes.

Given Data:The waveform of the LTI system The output The input To Find:The expression and the sketch…

1.31. In this problem, we illustrate one of the most important consequences of the prop- erties of linearity and time invariance. Specifically, once we know the response of a linear system or a linear time-invariant (LTI) system to a single input or the responses to several inputs, we can directly compute the responses to many other nput signals. Much of the remainder of this book deals with a thorough exploitation f this fact in order to develop results and techniques for analyzing and synthesizing TI systems. b) Determine and sketch the response of the system considered in part (a) to the input x3(1) shown in Figure P1.31(d). X₁ (t) 1 0 x₂ (t) 1 1 2 (a) 1 (c) 12 3 4 t 1 Y₁ (t) 2 1 0 X3 (t) 2 -1 0 T 1 (b) 1 (d) 2 2 t Figure P1.31 Note do NOT use synthetic m to solve convolution problem check with this but you must the other processes.

1.31. In this problem, we illustrate one of the most important consequences of the prop- erties of linearity and time invariance. Specifically, once we know the response of a linear system or a linear time-invariant (LTI) system to a single input or the responses to several inputs, we can directly compute the responses to many other nput signals. Much of the remainder of this book deals with a thorough exploitation f this fact in order to develop results and techniques for analyzing and synthesizing TI systems. b) Determine and sketch the response of the system considered in part (a) to the input x3(1) shown in Figure P1.31(d). X₁ (t) 1 0 x₂ (t) 1 1 2 (a) 1 (c) 12 3 4 t 1 Y₁ (t) 2 1 0 X3 (t) 2 -1 0 T 1 (b) 1 (d) 2 2 t Figure P1.31 Note do NOT use synthetic m to solve convolution problem check with this but you must the other processes.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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