Determine if each of the following statements is true in general. Provide proofs for those that you think are true and counterexamples for those that you think are false. (a) If x(t) and h(t) are odd signals, then y(t) = x(t) * h(t) is an even signal. (b) If y(t) = x(t) * h(t), where x(t) is purely real and h(t) is purely imaginary, then y(t) is conjugate symmetric.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.7MCQ
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Determine if each of the following statements is true in general. Provide proofs for those
that you think are true and counterexamples for those that you think are false.
(a) If x(t) and h(t) are odd signals, then y(t)
x(t) * h(t) is an even signal.
(b) If y(t) = x(t) * h(t), where x(t) is purely real and h(t) is purely imaginary, then y(t)
is conjugate symmetric.
=
Transcribed Image Text:Determine if each of the following statements is true in general. Provide proofs for those that you think are true and counterexamples for those that you think are false. (a) If x(t) and h(t) are odd signals, then y(t) x(t) * h(t) is an even signal. (b) If y(t) = x(t) * h(t), where x(t) is purely real and h(t) is purely imaginary, then y(t) is conjugate symmetric. =
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