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Proceedings Paper

Multidimensional/multiresolution Fourier estimation of signals
Author(s): Douglas J. Nelson
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Paper Abstract

We generalized the short time Fourier transform and the cross spectral methods developed by the author and others over the past two decades. The method presented is based on application of a multidimensional Fourier transform. Each iteration of the Fourier transform channelizes the signal into successively narrower channels, and a single application of phase differentiation stabilizes the Fourier phase and effectively places all the signal component in their correct location in the spectrum. Finally, it is shown that it is possible to recover spectral components from spectral observations which are remote from the components being estimated.

Paper Details

Date Published: 13 November 2000
PDF: 9 pages
Proc. SPIE 4116, Advanced Signal Processing Algorithms, Architectures, and Implementations X, (13 November 2000); doi: 10.1117/12.406486
Show Author Affiliations
Douglas J. Nelson, U.S. Department of Defense (United States)

Published in SPIE Proceedings Vol. 4116:
Advanced Signal Processing Algorithms, Architectures, and Implementations X
Franklin T. Luk, Editor(s)

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