Cumulant-based approach to harmonic retrieval and related problems

Author

Swami, Ananthram ; Mendel, Jerry M.

Author_Institution

Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA

Volume

39

Issue

5

fYear

1991

fDate

5/1/1991 12:00:00 AM

Firstpage

1099

Lastpage

1109

Abstract

A frequently encountered problem in signal processing is that of estimating the frequencies and amplitudes of harmonics observed in additive colored Gaussian noise. In practice, the observed signals are contaminated with spatially and temporally colored noise of unknown power spectral density. A cumulant-based approach to these problems is proposed. The cumulants of complex processes are defined, and it is shown that specific 1-D slices of the fourth-order cumulant of the noisy signal for the direction of arrival (DOA) and retrieval of harmonics in noise (RHN) problems are identical to the autocorrelation of a related noiseless signal. Hence correlation-based high-resolution methods may be used with fourth-order cumulants as well. The effectiveness of the proposed methods is demonstrated through standard simulation examples

Keywords

harmonic analysis; parameter estimation; random noise; signal processing; additive colored Gaussian noise; amplitude estimation; correlation-based high-resolution methods; cumulant-based approach; fourth-order cumulant; frequency estimation; harmonic retrieval; random signals; signal processing; Additive noise; Fourier transforms; Frequency; Gaussian noise; Image processing; Parameter estimation; Random variables; Signal processing; Sonar; Statistics;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.80965

Filename

80965