Decomposition of time-frequency distribution kernels

Gregory S. Cunningham; William J. Williams

doi:10.1117/12.130942

30 November 1992 Decomposition of time-frequency distribution kernels

Gregory S. Cunningham, William J. Williams

Proceedings Volume 1770, Advanced Signal Processing Algorithms, Architectures, and Implementations III; (1992) https://doi.org/10.1117/12.130942
Event: San Diego '92, 1992, San Diego, CA, United States

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.

Citation Download Citation

Gregory S. Cunningham and William J. Williams "Decomposition of time-frequency distribution kernels", Proc. SPIE 1770, Advanced Signal Processing Algorithms, Architectures, and Implementations III, (30 November 1992); https://doi.org/10.1117/12.130942

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