It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions. a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t). b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t). It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions. a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t). b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t)
It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions. a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t). b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t). It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions. a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t). b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t)
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 principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions.
- a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t).
b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t).
It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions.
- a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t).
b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t).
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