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Proceedings Paper

Decomposition of time-frequency distribution kernels
Author(s): Gregory S. Cunningham; William J. Williams
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Paper Abstract

Cohen's class of time-frequency distributions has been recognized to have significant potential for the analysis of complicated signals. The spectrogram, though it offers comparatively lower time-frequency resolution than other, more recently investigated members of Cohen's class, is still the most broadly used TFD today. Packages are available which perform SP evaluation and offer signal synthesis from the closely related short-time Fourier transform. These packages allow the SP to be the widely accessible signal processing tool that it is. In this paper, we introduce two decompositions of TFDs, the SP decomposition and the weighted reversal correlator decomposition. The decompositions are useful for TFD interpretation, fast implementations using SP building blocks and related high-resolution, linear signal synthesis method using STFT signal synthesis building blocks. It is hoped that these decompositions will facilitate the development of TFD signal analysis/synthesis packages (using existing SP analysis/synthesis packages), and that these packages will make TFDs other than the SP accessible to a broad audience.

Paper Details

Date Published: 30 November 1992
PDF: 7 pages
Proc. SPIE 1770, Advanced Signal Processing Algorithms, Architectures, and Implementations III, (30 November 1992); doi: 10.1117/12.130942
Show Author Affiliations
Gregory S. Cunningham, Univ. of Michigan (United States)
William J. Williams, Univ. of Michigan (United States)


Published in SPIE Proceedings Vol. 1770:
Advanced Signal Processing Algorithms, Architectures, and Implementations III
Franklin T. Luk, Editor(s)

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