The Discrete Uncertainty Principle, Sinc-lets, and Other Peculiar Properties of Sampled Signals

Book: Advances in Sampling Theory and Techniques

Author(s): Leonid P. Yaroslavsky

Published: 2020

https://doi.org/10.1117/3.2554039.ch7

Abstract

It is well known that continuous signals cannot both be sharply band-limited, in terms of their Fourier spectra, and have sharply bounded support. In reality, continuous signals are neither sharply band-limited nor have sharply bounded support. They can only be more or less densely concentrated in the signal and spectral domains.