Retrieving random amplitude modulated harmonics using higher-order statistics

Georgios B. Giannakis; Guotong Zhou

doi:10.1117/12.190830

28 October 1994 Retrieving random amplitude modulated harmonics using higher-order statistics

Georgios B. Giannakis, Guotong Zhou

Proceedings Volume 2296, Advanced Signal Processing: Algorithms, Architectures, and Implementations V; (1994) https://doi.org/10.1117/12.190830
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

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.

Citation Download Citation

Georgios B. Giannakis and Guotong Zhou "Retrieving random amplitude modulated harmonics using higher-order statistics", Proc. SPIE 2296, Advanced Signal Processing: Algorithms, Architectures, and Implementations V, (28 October 1994); https://doi.org/10.1117/12.190830

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