Amplitude Modulation of Audio Signals

This program performs an amplitude modulation on a signal to acheive AM radio frequencies for transmission. The demonstration walks through the process and theory and then performs an example on an audio snippet of Morgan Freedman.

Theory

Let the carrier signal be a sinusoid with amplitude $A$ and carrier frequency $f_c$: $$c(t) = A \sin(2 \pi f_c t)$$

Let the message signal be $m(t)$.

The output signal is $y(t)$ is defined as: $$y(t) = \left(1 + \frac{m(t)}{A}\right) c(t)$$

Let's demonstrate AM with an example sinusoid message signal with with amplitude $A_m$ and message frequency $f_m$: $$m(t) = A_m \cos(2 \pi f_m t)$$