Hi all,

I just have a question about frequency modulation for harmonic systems. I know for (FM) for fundamental frequency you have the expansion

\(output = J_0(\beta)V\cos(\omega t)\pm J_1(\beta)\cos((\omega \pm \omega_m)t)+...\)

I am wondering what is the equivalent for the third Harmonic? is it

\(output = J_0(\beta)V\cos(3\omega t)\pm J_1(\beta)(3(\omega \pm \omega_m)t)+...
\)

or

\(output = J_0(\beta)V\cos(3\omega t)\pm J_1(\beta)((3\omega \pm \omega_m)t)+...\)

tia

 

In the past I've run some simulations of a frequency (sine wave) modulated square wave carrier. The results I obtained are consistent with the last [3rd] equation in your post.