A Time-Recursive Algorithm for the Computation of Auto-AmbiguityFunction and the Wigner Distribution

Authors:
Chao Lu;Ning Ma;Joel M. Morris
Affiliations:
Department of Computer & Information Sciences, Towson State University, Baltimore, MD 21204;Department of Computer Science & Electrical Engineering, UMBC, 1000 Hilltop Circle, Catonsville, MD 21250;Department of Computer Science & Electrical Engineering, UMBC, 1000 Hilltop Circle, Catonsville, MD 21250
Venue:
Multidimensional Systems and Signal Processing - Special issue on recent developments in time-frequency analysis
Year:
1998

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Abstract

Inthis paper, a time-recursive algorithm for the computation ofdiscrete-time, discrete-frequency, auto-ambiguity function isgiven, which in turn is used to compute the Wigner time-frequencydistribution. We use the Richman-Parks-Shenoy‘s definition ofthe discrete-time, discrete-frequency, auto-ambiguity functionfor finite data sequences. Block diagram implementation of thetime-recursive algorithm is described, computational complexitywith respect to increasing block size is compared with straightforward computation, and the proper time-recursive block sizeis suggested.