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4) Consider a periodic signal f(t), with period To, that has a value of T/2t in the interval -t

4) Consider a periodic signal f(t), with period To, that has a value of T/2t in the interval -t

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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This problem is about exponential Fourier Series
4) Consider a periodic signal f(t), with period To, that has a value of T/2t in the interval -t <t < t and is identically zero in the rest of the interval from -T/2 to T/2. A) Compute the exponential Fourier Series for f(t), which will be functions of To and t. B) Take the limit of the part A answer as t goes to zero, and as a result find the exponential Fourier Series for this limiting case, which is an impulse train (an impulse every T, seconds). - f(t) T/2t -To-t -T,+t -T/2 T/2 To-t Tott -T
Transcribed Image Text:4) Consider a periodic signal f(t), with period To, that has a value of T/2t in the interval -t <t < t and is identically zero in the rest of the interval from -T/2 to T/2. A) Compute the exponential Fourier Series for f(t), which will be functions of To and t. B) Take the limit of the part A answer as t goes to zero, and as a result find the exponential Fourier Series for this limiting case, which is an impulse train (an impulse every T, seconds). - f(t) T/2t -To-t -T,+t -T/2 T/2 To-t Tott -T
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