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Selected Continuous-Time Fourier Theorems

This appendix presents Fourier theorems which are nice to know, but which do not, strictly speaking, pertain to the DFT. The differentiation theorem for Fourier Transforms comes up quite often, and its dual pertains as well to the DTFT (Appendix B). The scaling theorem provides an important basic insight into time-frequency duality. Finally, the very fundamental uncertainty principle is related to the scaling theorem.



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``Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications --- Second Edition'', by Julius O. Smith III, W3K Publishing, 2007, ISBN 978-0-9745607-4-8.
Copyright © 2014-04-21 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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