1. (a) A periodic signal f(t) has a period To. Write the relationship between f(t) and To. (b) An amplitude modulated signal x(t) can be represented by x(t) = A [1 + cos (wot)]cos (wet), where A and wo are constants. (i) Show that the signal is a periodic signal. (ii) Using the definition of the period of a periodic signal, find the period of the signal. (c) Above signal x(t) can be represented as a summation of waveforms x(t) = En=0 An cos(wit) + B₂ sin(wrt). (i) Find the value of wT. (ii) Find the values of A, and B, for n = 0, 1, 2, ......, 00.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
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1.
(a) A periodic signal f(t) has a period To. Write the relationship between f(t) and To.
(b) An amplitude modulated signal x(t) can be represented by x(t) = A [1 + cos (wot)]cos (wet),
where A and wo are constants.
(i) Show that the signal is a periodic signal.
(ii) Using the definition of the period of a periodic signal, find the period of the signal.
(c) Above signal x(t) can be represented as a summation of waveforms
x(t) ==0 An cos(wrt) + B₁ sin(wrt).
(i) Find the value of wT.
(ii) Find the values of A and B for n = 0, 1, 2, ......, 00.
Transcribed Image Text:1. (a) A periodic signal f(t) has a period To. Write the relationship between f(t) and To. (b) An amplitude modulated signal x(t) can be represented by x(t) = A [1 + cos (wot)]cos (wet), where A and wo are constants. (i) Show that the signal is a periodic signal. (ii) Using the definition of the period of a periodic signal, find the period of the signal. (c) Above signal x(t) can be represented as a summation of waveforms x(t) ==0 An cos(wrt) + B₁ sin(wrt). (i) Find the value of wT. (ii) Find the values of A and B for n = 0, 1, 2, ......, 00.
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