This topic uses linear system theory to motivate looking at methods for
signal decompositions. It starts by observing that linear systems can be
described by ordinary differential equations (ODEs), which have
harmonic steady-state solutions in response to a harmonic input. This
conceptually simple solution enables the frequency response of the
system to be easily determined, and therefore the system response to an
arbitrary input can be found, if the input signal can be represented in
the frequency domain. Fourier analysis enables this, and this Topic
provides the narrative journey to explain this.
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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