On Estimating Random Amplitude-Modulated Harmonics Using Higher Order Spectra

Guotong Zhou, Georgios Giannakis

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

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
Volume19
Issue number4
DOIs
StatePublished - Oct 1994

Bibliographical note

Funding Information:
Manuscript received March 1, 1994; revised June 24, 1994. Part of this paper was presented at [he SPlE Con$, San Diego, CA, July 1994. The work in this paper was supported by the Office of Naval Research under ONR Grant NO00 14-93-1- 0485. The authors are with the Department of Electrical Engineering, Univer\ity of Virginia. Charlottesville, VA 22903-2342 (JSA. IEEE Log Number 9405589.

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