Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Consider the continuous-time periodic signal x(t) = Summation (k=−∞ to ∞) p(t + kT), where p(t) is defined within one period as:
p(t) = e^(−t), for − 1 ≤ t < 1
with the fundamental period T = 2.
a) Calculate the Fourier series coefficients ak for x(t).
b) Use FS properties to find Fourier series coefficients for x(t − 2), x(−t), x(2t).
c) Verify whether ak you obtain for x(t) satisfy conjugate symmetry
Transcribed Image Text:Consider the continuous-time periodic signal x(t) = ∞ P(t + kT), where p(t) is
defined within one period as
p(t) = e, for 1≤t<1
with the fundamental period T = 2.
a) Calculate the Fourier series coefficients ak for x(t).
-
b) Use FS properties to find Fourier series coefficients for x(t − 2), x(−t), x(2t).
c) Verify whether ak you obtain for x(t) satisfy conjugate symmetry.
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