Compute the average transmitted power of frequency modulated wave with carrier signal cos(2π1000t).

Analysis:

The amplitude Ac is constant in a phase-modulated or a frequency modulated signal. RF power does not depend upon the modulation index.

A general expression for a phase or frequency modulated signal is:

\(\phi(t)=A_ccos[ω_ct+g(k_k,m(t))]\)

m(t) = the modulating signal

ωc = Carrier frequency

kk becomes kc for FM and kp for PM.

The average power (Pavg) is given by:

\(P_{avg}=\frac{A_c^2}{2}\) (Always)

We observe that the transmitted power is independent of the modulation index in the of FM.

Calculation:

A = 1

Hence, P = 1/2 = 0.5 W.