# frequency modulation?

Discussion in 'Homework Help' started by suzuki, Jul 11, 2012.

1. ### suzuki Thread Starter Member

Aug 10, 2011
119
0
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

2. ### t_n_k AAC Fanatic!

Mar 6, 2009
5,448
784
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.

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