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Amplitude Modulation. Two signals m1(t) and m2(t) are to be transmitted simultaneously over a channel by the scheme shown in the Figure below. mi(t) a(t) b(t) (t) |d(1). AM + m2(t) 2 cos(20000zt) (a) forms of m1(t). Assume m,(t) = 2000 sinc(2000t). Derive and Plot the Fourier trans- (b) Is m1 (t) periodic? if so, what is the period of m¡(t)? (c) What is the energy of m1(t)? Is m¡(t) an energy signal?Why?

Amplitude Modulation. Two signals m1(t) and m2(t) are to be transmitted simultaneously over a channel by the scheme shown in the Figure below. mi(t) a(t) b(t) (t) |d(1). AM + m2(t) 2 cos(20000zt) (a) forms of m1(t). Assume m,(t) = 2000 sinc(2000t). Derive and Plot the Fourier trans- (b) Is m1 (t) periodic? if so, what is the period of m¡(t)? (c) What is the energy of m1(t)? Is m¡(t) an energy signal?Why?

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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Amplitude Modulation. Two signals m1(t) and m2(t) are to be transmitted simultaneously over a channel by the scheme shown in the Figure below. mi(t) |a(t) b(t) c(t) d(t) AM m2(t) 2 cos(20000zt) (а) forms of m1(t). Assume m, (t) = 2000 sinc(2000t). Derive and Plot the Fourier trans- (b) Is m1 (t) periodic? if so, what is the period of m¡(t)? (c) What is the energy of m1(t)? Is m¡(t) an energy signal?Why? (d) What is the power of m1(t)? Is m1(t) a power signal? Why? (e) uses a carrier c(t) = cos(100007 t) and k =0.8. Derive and Plot the Fourier transforms of a(t). The AM modulation (f) of b(t). Assume m2(t) cos(2000nt)). Derive and Plot the Fourier transforms %3D (g) What is the bandwidth of b(t)? (h) Derive and Plot the Fourier transforms of c(t). (i) What is the bandwidth of c(t)? () Now assume that 2. f| < 10000. H(f) 0, 10000 < |S| < 25000, A. IS| > 25000. Derive and Plot the Fourier transform of d(t). (k) Show whether or not we can recover m (t). if so how?
Transcribed Image Text:Amplitude Modulation. Two signals m1(t) and m2(t) are to be transmitted simultaneously over a channel by the scheme shown in the Figure below. mi(t) |a(t) b(t) c(t) d(t) AM m2(t) 2 cos(20000zt) (а) forms of m1(t). Assume m, (t) = 2000 sinc(2000t). Derive and Plot the Fourier trans- (b) Is m1 (t) periodic? if so, what is the period of m¡(t)? (c) What is the energy of m1(t)? Is m¡(t) an energy signal?Why? (d) What is the power of m1(t)? Is m1(t) a power signal? Why? (e) uses a carrier c(t) = cos(100007 t) and k =0.8. Derive and Plot the Fourier transforms of a(t). The AM modulation (f) of b(t). Assume m2(t) cos(2000nt)). Derive and Plot the Fourier transforms %3D (g) What is the bandwidth of b(t)? (h) Derive and Plot the Fourier transforms of c(t). (i) What is the bandwidth of c(t)? () Now assume that 2. f| < 10000. H(f) 0, 10000 < |S| < 25000, A. IS| > 25000. Derive and Plot the Fourier transform of d(t). (k) Show whether or not we can recover m (t). if so how?
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