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Q2 Consider a message signal m(t) = 2 сos(2π × 10t) + 4 cos(2π × 15t) + cos(2π x 40t). The message signal will modulate the amplitude of a carrier signal cos(2π * 100t). a. Plot the frequency spectrum of m(t). b. Provide a time-domain expression of the modulated signal. c. Plot the frequency spectrum of the modulated signal.

Q2 Consider a message signal m(t) = 2 сos(2π × 10t) + 4 cos(2π × 15t) + cos(2π x 40t). The message signal will modulate the amplitude of a carrier signal cos(2π * 100t). a. Plot the frequency spectrum of m(t). b. Provide a time-domain expression of the modulated signal. c. Plot the frequency spectrum of the modulated signal.

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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Q2 Consider a message signal m(t) = 2 сos(2π × 10t) + 4 cos(2π × 15t) + cos(2π x 40t). The message signal will modulate the amplitude of a carrier signal cos(2π * 100t). a. Plot the frequency spectrum of m(t). b. Provide a time-domain expression of the modulated signal. c. Plot the frequency spectrum of the modulated signal. d. Before transmission, the modulated signal goes through a bandpass filter with frequency response H₁(f), where H₂(f) is given in Figure Q2-A. Plot the frequency spectrum at the output of H; (f). e. Figure Q2-B shows the components of the demodulator. Obtain the frequency response of the filter Hof) such that the output of Ho(f) is exactly m(t). H₂(f) -f (Hz) -150 -130 -70 -50 0 50 70 130 Figure Q2-A Modulated Signal- 2 cos(2π x 100t) Figure Q2-B Ho(f) m(t) 150
Transcribed Image Text:Q2 Consider a message signal m(t) = 2 сos(2π × 10t) + 4 cos(2π × 15t) + cos(2π x 40t). The message signal will modulate the amplitude of a carrier signal cos(2π * 100t). a. Plot the frequency spectrum of m(t). b. Provide a time-domain expression of the modulated signal. c. Plot the frequency spectrum of the modulated signal. d. Before transmission, the modulated signal goes through a bandpass filter with frequency response H₁(f), where H₂(f) is given in Figure Q2-A. Plot the frequency spectrum at the output of H; (f). e. Figure Q2-B shows the components of the demodulator. Obtain the frequency response of the filter Hof) such that the output of Ho(f) is exactly m(t). H₂(f) -f (Hz) -150 -130 -70 -50 0 50 70 130 Figure Q2-A Modulated Signal- 2 cos(2π x 100t) Figure Q2-B Ho(f) m(t) 150
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