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*3. A continuous time signal, x(t) = sin(20t) + cos(40t), is sampled uniformly at intervals of T to obtain a discrete time signal, x(n) = sin(an/5) + cos(2rn/5). a) What is the value of T assuming no aliasing has occurred? b) Assume both frequency components have been aliased. In this case, is your choice of T unique? If not, specify some choices of T consistent with the information given.

*3. A continuous time signal, x(t) = sin(20t) + cos(40t), is sampled uniformly at intervals of T to obtain a discrete time signal, x(n) = sin(an/5) + cos(2rn/5). a) What is the value of T assuming no aliasing has occurred? b) Assume both frequency components have been aliased. In this case, is your choice of T unique? If not, specify some choices of T consistent with the information given.

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
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*3. A continuous time signal, x(t) = sin(20t) + cos(40t), is sampled uniformly at intervals of T to obtain a discrete time signal, x(n) = sin(an/5) + cos(2rn/5). a) What is the value of T assuming no aliasing has occurred? b) Assume both frequency components have been aliased. In this case, is your choice of T unique? If not, specify some choices of T consistent with the information given.
Transcribed Image Text:*3. A continuous time signal, x(t) = sin(20t) + cos(40t), is sampled uniformly at intervals of T to obtain a discrete time signal, x(n) = sin(an/5) + cos(2rn/5). a) What is the value of T assuming no aliasing has occurred? b) Assume both frequency components have been aliased. In this case, is your choice of T unique? If not, specify some choices of T consistent with the information given.
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