Application of cumulant TVHOS to the analysis of composite FM signals in multiplicative and additive noise

Boualem Boashash; Branko Ristic

doi:10.1117/12.160439

1 November 1993 Application of cumulant TVHOS to the analysis of composite FM signals in multiplicative and additive noise

Boualem Boashash, Branko Ristic

Author Affiliations +

Proceedings Volume 2027, Advanced Signal Processing Algorithms, Architectures, and Implementations IV; (1993) https://doi.org/10.1117/12.160439
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

The paper addresses two questions of time-varying higher-order spectra (TVHOS), whose solutions are essential for the further development of these methods and their applicability to a wide range of situations. They are: (1) defining cumulant TVHOS and (2) predicting the behavior of TVHOS of composite signals. It is shown first that the cumulant Wigner-Ville trispectrum (as a particular member of cumulant TVHOS), can preserve the essential properties of cumulant higher-order spectra (e.g., eliminates Gaussian additive noise) and at the same time is able to characterize the time-variations of the signal's spectral (i.e., trispectral) content. Secondly, when dealing with composite FM signals, a special kind of `non-oscillating cross-terms' appear in the moment TVHOS time-frequency subspace. These cross-terms cannot be eliminated by smoothing the WVT, but rather by appropriate slicing of the full time-multi-frequency space.

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Boualem Boashash and Branko Ristic "Application of cumulant TVHOS to the analysis of composite FM signals in multiplicative and additive noise", Proc. SPIE 2027, Advanced Signal Processing Algorithms, Architectures, and Implementations IV, (1 November 1993); https://doi.org/10.1117/12.160439

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