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4 - On Time, Frequency, and Gauss

from Part I - Basics and Constraints

Published online by Cambridge University Press:  22 August 2018

Patrick Flandrin
Patrick Flandrin
Affiliation:
École normale supérieure de Lyon
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Summary

Gaussian functions are central throughout the book. They are introduced as basic elementary waveforms whose versatility can be used for establishing a continuum of representations between the "natural" (Shannon-Nyquist-like) representation in time to the dual (Fourier) representation in frequency. This allows for a first introduction of a joint (Gabor) time-frequency representation.

Keywords

GaussiansShannonNyquistGaborFouriertime-frequency
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Chapter
Information
Explorations in Time-Frequency Analysis , pp. 29 - 34
Publisher: Cambridge University Press
Print publication year: 2018

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