On Estimating Random Amplitude-Modulated Harmonics Using Higher Order Spectra

Guotong Zhou, Georgios Giannakis

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


Additive as well as multiplicative noise may occur 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 multicomponent models and generalizations to alternative higher order moments are also provided. Simulations corroborate the theoretical results.

Original languageEnglish (US)
Pages (from-to)529-539
Number of pages11
JournalIEEE Journal of Oceanic Engineering
Issue number4
StatePublished - Oct 1994

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