I am reading John R. Pierce's An Introduction to Information Theory and read that any wave can be decomposed into simple sin waves by means of a Fourier analysis. I would like to play with the idea a little and want to plot a couple simple sin waves in R; add them together as if they were being transmitted simultaneously over a single wire; and then "decompose" the aggregate signal back into its components using a FFT (I suppose). Can anyone point me to a tutorial which would get me going on this project?
Thanks, RAB
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