The Fourier series is the basis for much of digital signal processing, allowing you to build a signal from the sum of many sinusoids. You can also go in reverse and break a signal up into its ...

Like a lot of abstract concepts, it is easy to understand the basic premise and you could look up any of the mathematical algorithms that can take a signal and perform a Fourier transform on it.

we may use a generalization of the process of finding the sum of an infinite series, such as that due to Cesaro. It may be recalled that Hardy and Rogosinski, in their Cambridge Tract on Fourier ...