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A message signal m(t) is shown in Figure Q1. a. Suppose a transmitter uses m(t) to modulate the amplitude of cos(2π x 10t). Plot the modulated signal against time. b. Could we use an envelope detector to obtain m(t) based on the modulated signal in Q1-a? Provide the answer and state your reason. c. Suppose the transmitted signal is x(t) = (1.5 + m(t)) cos(2 x 10t). Could we use an envelope detector to obtain m(t) from x(t)? Provide the answer and state your reason. d. Find M(f), the frequency spectrum of m(t). e. Provide an expression for the energy spectral density (ESD) of m(t) and show that the ESD of m(t) is above zero for 0 ≤ f < 1.

A message signal m(t) is shown in Figure Q1. a. Suppose a transmitter uses m(t) to modulate the amplitude of cos(2π x 10t). Plot the modulated signal against time. b. Could we use an envelope detector to obtain m(t) based on the modulated signal in Q1-a? Provide the answer and state your reason. c. Suppose the transmitted signal is x(t) = (1.5 + m(t)) cos(2 x 10t). Could we use an envelope detector to obtain m(t) from x(t)? Provide the answer and state your reason. d. Find M(f), the frequency spectrum of m(t). e. Provide an expression for the energy spectral density (ESD) of m(t) and show that the ESD of m(t) is above zero for 0 ≤ f < 1.

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q1 A message signal m(t) is shown in Figure Q1. a. Suppose a transmitter uses m(t) to modulate the amplitude of cos (2π x 10t). Plot the modulated signal against time. b. Could we use an envelope detector to obtain m(t) based on the modulated signal in Q1-a? Provide the answer and state your reason. c. Suppose the transmitted signal is x(t) = (1.5 + m(t)) cos(2π × 10t). Could we use an envelope detector to obtain m(t) from x(t)? Provide the answer and state your reason. d. Find M(f), the frequency spectrum of m(t). e. Provide an expression for the energy spectral density (ESD) of m(t) and show that the ESD of m(t) is above zero for 0 ≤ f<1. m(t) t (in second) 2 Figure Q1 N 1 -1 0 1
Transcribed Image Text:Q1 A message signal m(t) is shown in Figure Q1. a. Suppose a transmitter uses m(t) to modulate the amplitude of cos (2π x 10t). Plot the modulated signal against time. b. Could we use an envelope detector to obtain m(t) based on the modulated signal in Q1-a? Provide the answer and state your reason. c. Suppose the transmitted signal is x(t) = (1.5 + m(t)) cos(2π × 10t). Could we use an envelope detector to obtain m(t) from x(t)? Provide the answer and state your reason. d. Find M(f), the frequency spectrum of m(t). e. Provide an expression for the energy spectral density (ESD) of m(t) and show that the ESD of m(t) is above zero for 0 ≤ f<1. m(t) t (in second) 2 Figure Q1 N 1 -1 0 1
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