This Topic begins by discussing the mathematical model of perfect
sampling, namely multiplying the signal (that is to be sampled) by an
impulse train. Using this model, the Topic discusses how to consider
what the impact of sampling a signal is, and proposes to consider the
resulting change in the spectrum of the sampled signal compared with the
spectrum of the original signal. Undertaking this analysis, the
relationship between these spectra is derived, which therefore leads to
the standard Nyquist sampling rate. The origin of this result is
described in detail using the mathematical tools developed so far in
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). 2020.
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