The Shannon sampling theorem

19.06.2020 13:30 - 13:50

Jose Luis Romero (Universität Wien)


The Shannon sampling theorem shows that a function whose Fourier transform is known to be supported on a given compact interval of the real numbers can be reconstructed from its values taken at suitably equispaced locations (samples). The theorem is a cornerstone of signal analysis, as it serves as a bridge between continuous-time and discrete-time signals, and validates mathematically the notion of bandwidth. The topic will be presented at the level of a bachelor class.

Fakultät für Mathematik
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