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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)
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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4. Energy and power signals. Determine whether the following signals are energy or power signals. If the (а) ( signal is an energy signal, determine its energy. If the signal is a power signal, determine its power. i. r(t) = e = e-lt| -lt| if t >1 ii. r(t) = (0, 1+e-t, if t > 0 otherwise iii. r(t) = 0, %3D otherwise (b) Show the following two properties: • If x(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 > 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 r.(t), i.e., Er = Ex. + Ex. Assume r(t) is a real signal.
Transcribed Image Text:4. Energy and power signals. Determine whether the following signals are energy or power signals. If the (а) ( signal is an energy signal, determine its energy. If the signal is a power signal, determine its power. i. r(t) = e = e-lt| -lt| if t >1 ii. r(t) = (0, 1+e-t, if t > 0 otherwise iii. r(t) = 0, %3D otherwise (b) Show the following two properties: • If x(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 > 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 r.(t), i.e., Er = Ex. + Ex. Assume r(t) is a real signal.
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