This Topic gives a revision of Trigonometric Fourier Series. It builds
on the motivation for using signal decompositions for analysing signals,
and decomposes any finite power periodic signal into an infinite
summation of sinusoids and cosinusoids, whose frequencies are integer
multiples of a fundamental frequency. The Topic gives the formulas for
calculating the Fourier coefficient, as well as the Fourier series
expansion itself. A graphical example is shown, through decomposing a
sawtooth wave, and also provides an audio reconstruction. The second
half of the video considers a simple example of calculating the
trigonometric Fourier coefficients of a square 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.
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