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4 For an energy signal g(t) with energy Eg, show that the energy of any one of the signals -g(t), g(-t), and g(t – T) is Eg. Show also that the energy of g(at) as well as g(at – b) is Eg/a. This shows that time inversion and time shifting do not affect signal energy. On the hand, time compression of a signal by a factor a reduces the energy by the factor a. What is the effect on signal energy if the signal is: (a) time-expanded by a factor a (a > 1); (b) multiplied by a constant a?

4 For an energy signal g(t) with energy Eg, show that the energy of any one of the signals -g(t), g(-t), and g(t – T) is Eg. Show also that the energy of g(at) as well as g(at – b) is Eg/a. This shows that time inversion and time shifting do not affect signal energy. On the hand, time compression of a signal by a factor a reduces the energy by the factor a. What is the effect on signal energy if the signal is: (a) time-expanded by a factor a (a > 1); (b) multiplied by a constant a?

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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2.3-4 For an energy signal g(t) with energy Eg, show that the energy of any one of the signals -g(t), g(-t), and g(t – T) is Eg. Show also that the energy of g(at) as well as g(at – b) is Eg/a. This shows that time inversion and time shifting do not affect signal energy. On the hand, time compression of a signal by a factor a reduces the energy by the factor a. What is the effect on signal energy if the signal is: (a) time-expanded by a factor a (a > 1); (b) multiplied by a constant a?
Transcribed Image Text:2.3-4 For an energy signal g(t) with energy Eg, show that the energy of any one of the signals -g(t), g(-t), and g(t – T) is Eg. Show also that the energy of g(at) as well as g(at – b) is Eg/a. This shows that time inversion and time shifting do not affect signal energy. On the hand, time compression of a signal by a factor a reduces the energy by the factor a. What is the effect on signal energy if the signal is: (a) time-expanded by a factor a (a > 1); (b) multiplied by a constant a?
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