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It is easy to demonstrate that amplitude modulation satisfies the superposition princi- ple, whereas angle modulation does not. To be specific, let m1 (t) and m2(t) represent two message signals and let u1 (t) and uz(t) represent the corresponding modulated versions. 1. Show that when the combined message signal m1(t) +m2(t) DSB modulates a carrier A. cos 2n fet, the result is the sum of the two DSB amplitude-modulated signals u, (1) + u2(t). 2. Show that if m¡ (t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u¡ (t) + u2(t).

It is easy to demonstrate that amplitude modulation satisfies the superposition princi- ple, whereas angle modulation does not. To be specific, let m1 (t) and m2(t) represent two message signals and let u1 (t) and uz(t) represent the corresponding modulated versions. 1. Show that when the combined message signal m1(t) +m2(t) DSB modulates a carrier A. cos 2n fet, the result is the sum of the two DSB amplitude-modulated signals u, (1) + u2(t). 2. Show that if m¡ (t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u¡ (t) + u2(t).

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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It is easy to demonstrate that amplitude modulation satisfies the superposition princi- ple, whereas angle modulation does not. To be specific, let m1 (t) and m2(t) represent two message signals and let u1 (t) and uz(t) represent the corresponding modulated versions. 1. Show that when the combined message signal m1(t) +m2(t) DSB modulates a carrier A. cos 2n fet, the result is the sum of the two DSB amplitude-modulated signals u, (1) + u2(t). 2. Show that if m¡ (t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u¡ (t) + u2(t).
Transcribed Image Text:It is easy to demonstrate that amplitude modulation satisfies the superposition princi- ple, whereas angle modulation does not. To be specific, let m1 (t) and m2(t) represent two message signals and let u1 (t) and uz(t) represent the corresponding modulated versions. 1. Show that when the combined message signal m1(t) +m2(t) DSB modulates a carrier A. cos 2n fet, the result is the sum of the two DSB amplitude-modulated signals u, (1) + u2(t). 2. Show that if m¡ (t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u¡ (t) + u2(t).
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