Problem 11-6 Suppose you are working on an in-class problem with two partners: Connie Volution and Tim Ein- variance. The in-class problem asks you to convolve a 10-point input signal [n] with a 2-point filter h[n]. Connie is a whiz with convolution, but she's feeling a bit sick today and can only compute the convolution of signals that are less than or equal to 5 points long. Tim, who is an expert in system properties, says that shouldn't be a problem because you can divide the 10-point input signal into two 5-point pieces. Since the system is linear and time-invariant, he says Connie can compute the output for each piece separately and then somehow you can add the outputs together to get the overall signal y[n]. Do you agree with Tim? If so, construct a simple example with a 2-point signal and a 10-point signal and show that he is right. If not, construct a simple example that shows why Tim's method will not work.

Problem 11-6 Suppose you are working on an in-class problem with two partners: Connie Volution and Tim Ein- variance. The in-class problem asks you to convolve a 10-point input signal [n] with a 2-point filter h[n]. Connie is a whiz with convolution, but she's feeling a bit sick today and can only compute the convolution of signals that are less than or equal to 5 points long. Tim, who is an expert in system properties, says that shouldn't be a problem because you can divide the 10-point input signal into two 5-point pieces. Since the system is linear and time-invariant, he says Connie can compute the output for each piece separately and then somehow you can add the outputs together to get the overall signal y[n]. Do you agree with Tim? If so, construct a simple example with a 2-point signal and a 10-point signal and show that he is right. If not, construct a simple example that shows why Tim's method will not work.

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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