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## Homework Statement

Let's say we have a carrier signal x

_{c}(t) = A

_{c}Cos(ω

_{c}t)

And there is a modulating signal or we can call it the information signal x

_{m}(t) = A

_{m}Cos(ω

_{m}t) 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) = A

_{c}[1 + μx(t)]cos(ω

_{c}t)

## The Attempt at a Solution

x(t) = A

_{c}[1 + (μ×A

_{m}/A

_{c})cos(ω

_{m}t)]cos(ω

_{c}t)[/B]