This Topic continues discussing important signals that are needed to
complete the mathematical framework of Fourier analysis and sampling
theory. After revising the limiting operation to obtain an impulse, this
Topic considers the result of multiplying a signal by an impulse. This
product produces another impulse, but where the weight is the signal
value. The Topic the discusses the concept of a signal sampler in terms
of multiplying by an impulse and integrating, and then extends the
result by introducing the infamous sifting theorem. These important
concepts are the basis of Nyquist sampling theory.
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.
Institute for Digital Communications, Alexander Graham Bell Building, The King's Buildings, Thomas Bayes Road, Edinburgh, EH9 3JL. UK.