Show that the convolution of a signal with an impulse function is equivalent to a time shift. That is, show that f(t) * 8(t − t。) = f(t-to) - Hint: The convolution integral is defined as: g(t) * h(t) ± ƒ‰ g(λ)h(t — λ)dλ

Show that the convolution of a signal with an impulse function is equivalent to a time shift. That is, show that f(t) * 8(t − t。) = f(t-to) - Hint: The convolution integral is defined as: g(t) * h(t) ± ƒ‰ g(λ)h(t — λ)dλ

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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Question

Show that the convolution of a signal with an impulse function is equivalent to a time shift. That
is, show that f(t) * 8(t − t。) = f(t - to)
Hint: The convolution integral is defined as: g(t) * h(t) ± ſ‰ g(1)h(t – λ)dλ

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