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modulated signal y(t) = 5. An envelope detector can be used to recover the message signal x(t) from the AM (x(t) + A) cos(wet + 0c). Suppose that is unknown but constant, i.e., we do not have knowledge of the phase of the carrier wave used in modulation. In such a scenario, the layout in Figure 3 aims to recover x(t) from y(t). cos(wet) y(t). X X sin (wet) Lowpass filter Lowpass filter Squarer Squarer + Figure 3: Envelope detector Square root The low-pass filters both have a cutoff frequency of we. We also assume that the message signal x(t) is bandlimited with bandwidth WM 0. Show that the system in Figure 3 recovers x(t) from y(t), without knowledge of the modulator phase A

modulated signal y(t) = 5. An envelope detector can be used to recover the message signal x(t) from the AM (x(t) + A) cos(wet + 0c). Suppose that is unknown but constant, i.e., we do not have knowledge of the phase of the carrier wave used in modulation. In such a scenario, the layout in Figure 3 aims to recover x(t) from y(t). cos(wet) y(t). X X sin (wet) Lowpass filter Lowpass filter Squarer Squarer + Figure 3: Envelope detector Square root The low-pass filters both have a cutoff frequency of we. We also assume that the message signal x(t) is bandlimited with bandwidth WM 0. Show that the system in Figure 3 recovers x(t) from y(t), without knowledge of the modulator phase A

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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modulated signal y(t) = 5. An envelope detector can be used to recover the message signal x(t) from the AM (x(t) + A) cos(wet + 0c). Suppose that is unknown but constant, i.e., we do not have knowledge of the phase of the carrier wave used in modulation. In such a scenario, the layout in Figure 3 aims to recover x(t) from y(t). cos(wet) y(t). X X sin (wet) Lowpass filter Lowpass filter Squarer Squarer + Figure 3: Envelope detector Square root The low-pass filters both have a cutoff frequency of we. We also assume that the message signal x(t) is bandlimited with bandwidth WM <we. Finally, as required for the use of envelope detector, x(t) + A > 0. Show that the system in Figure 3 recovers x(t) from y(t), without knowledge of the modulator phase c.
Transcribed Image Text:modulated signal y(t) = 5. An envelope detector can be used to recover the message signal x(t) from the AM (x(t) + A) cos(wet + 0c). Suppose that is unknown but constant, i.e., we do not have knowledge of the phase of the carrier wave used in modulation. In such a scenario, the layout in Figure 3 aims to recover x(t) from y(t). cos(wet) y(t). X X sin (wet) Lowpass filter Lowpass filter Squarer Squarer + Figure 3: Envelope detector Square root The low-pass filters both have a cutoff frequency of we. We also assume that the message signal x(t) is bandlimited with bandwidth WM <we. Finally, as required for the use of envelope detector, x(t) + A > 0. Show that the system in Figure 3 recovers x(t) from y(t), without knowledge of the modulator phase c.
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