Amplitude Modulation Index

  • #1
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Homework Statement


Let's say we have a carrier signal xc(t) = AcCos(ωct)
And there is a modulating signal or we can call it the information signal xm(t) = Am Cos(ωmt) and the modulation index is given as 0.8

How to write the modulated signal? It's really confusing as many people give different definitions and can't figure out which is correct. At least this one might make me understand the basic principle as it contains an amplitude not equal to 1 in the modulating signal.


Homework Equations


x(t) = Ac[1 + μx(t)]cos(ωct)

The Attempt at a Solution


x(t) = Ac[1 + (μ×Am/Ac)cos(ωmt)]cos(ωct)[/B]
 

Answers and Replies

  • #3
NascentOxygen
Staff Emeritus
Science Advisor
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x(t) = Ac[1 + (μ×Am/Ac)cos(ωmt)]cos(ωct)
μ is defined as ##\frac{A_m}{A_c}## so you won't use both together in your expression
 

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