This topic discusses signal decompositions by recalling the Fourier series decomposition, and explaining how this can be used in finding solutions to ordinary differential equations (ODEs) to an arbitrary input. The Topic highlights a physical, albeit impractical, method for synthesising a Fourier series. It then recalls a couple of classic examples, such as the decomposition of a square wave and sawtooth wave.

ELEE08021 Sensor Networks and Data Analysis 2 Lectures -- School of Engineering, University of Edinburgh. Copyright James R. Hopgood and University of Edinburgh, Scotland, United Kingdom (UK). 2021.