Efficient computation of the ambiguity function and the Wigner distribution on arbitrary line segments

Date
1999
Advisor
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Source Title
Proceedings - IEEE International Symposium on Circuits and Systems
Print ISSN
0271-4310
Electronic ISSN
Publisher
IEEE, Piscataway, NJ, United States
Volume
IV
Issue
Pages
IV-171 - IV-174
Language
English
Type
Article
Journal Title
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Volume Title
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Abstract

Efficient algorithms are proposed for the computation of Wigner distribution and ambiguity function samples on arbitrary line segments based on the relationship of Wigner distribution and ambiguity function with the fractional Fourier transformation. The proposed algorithms make use of an efficient computation algorithm of fractional Fourier transformation to compute N uniformly spaced samples O(N log N) flops. The ability of obtaining samples on arbitrary line segments provides significant freedom in the shape of the grids used in the Wigner distribution or in ambiguity function computations.

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Book Title
Keywords
Algorithms, Fourier transforms, Sampling, Ambiguity function, Fractional Fourier transformations, Wigner distribution, Signal processing
Citation
Published Version (Please cite this version)