This Topic considers how to plot the Spectrum of a periodic signal, by
plotting the complex Fourier coefficient against frequency of the
corresponding complex phasor. This Topic considers a very common
example, the spectrum of a periodic pulse sequence. First, the complex
Fourier coefficients are calculated, and it is shown that these can be
written as a so-called sinc function. The video shows how to plot the
sinc function, including what happens at the origin, and when the
function intersects the independent variable axis. This enables the
complex Fourier coefficients of the periodic pulse signal to be plotted
against frequency. The video finishes by showing how to plot magnitude
and phase of these coefficients separately, while meeting the conjugate
symmetry constraints of the complex Fourier coefficient.
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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