Determine whether the following signals are energy or power signals. If the signal is an energy signal, determine its energy. If the signal is a power signal, determine its power. i. r(t) = e-lt| S, if t >1 (0, 1+e-t, ii. r(t) = otherwise if t >0 iii. r(t) = 0, otherwise Show the following two properties: • If r(t) is an even signal and y(t) is an odd signal, then r(t)y(t) is an odd signal; • If z(t) is an odd signal, then for any T >0 we have: z(t)dt = 0 Use these two properties to show that the energy of r(t) is the sum of the energy of its even component re(t) and the energy of its odd component ro(t) , i.e., E = Er. + Ex. Assume r(t) is a real signal.

Determine whether the following signals are energy or power signals. If the signal is an energy signal, determine its energy. If the signal is a power signal, determine its power. i. r(t) = e-lt| S, if t >1 (0, 1+e-t, ii. r(t) = otherwise if t >0 iii. r(t) = 0, otherwise Show the following two properties: • If r(t) is an even signal and y(t) is an odd signal, then r(t)y(t) is an odd signal; • If z(t) is an odd signal, then for any T >0 we have: z(t)dt = 0 Use these two properties to show that the energy of r(t) is the sum of the energy of its even component re(t) and the energy of its odd component ro(t) , i.e., E = Er. + Ex. Assume r(t) is a real signal.

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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