Retrieving random amplitude modulated harmonics using higher-order statistics

Georgios B. Giannakis, Guotong Zhou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

Additive as well as multiplicative noise appears in weather radar returns, or, when acoustic waves propagate through the ocean. Second order spectral methods fail to retrieve frequencies of such random amplitude modulated harmonic time series, especially when the multiplicative noise is broadband. An existing fourth-order method assumes real Gaussian multiplicative and additive noise. A novel approach is proved herein to impose no constraints on the distribution or the color of the disturbances. It relies on fourth-order special cumulant or moment slices. In particular, the fourth-order moment spectrum is shown to offer computational advantages. Extension to multi-component models and generalizations to alternative sixth order moments are also provided.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsFranklin T. Luk
PublisherSociety of Photo-Optical Instrumentation Engineers
Pages150-161
Number of pages12
ISBN (Print)0819416207
StatePublished - Dec 1 1994
EventAdvanced Signal Processing: Algorithms, Architectures, and Implementations V - San Diego, CA, USA
Duration: Jul 24 1994Jul 27 1994

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume2296
ISSN (Print)0277-786X

Other

OtherAdvanced Signal Processing: Algorithms, Architectures, and Implementations V
CitySan Diego, CA, USA
Period7/24/947/27/94

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