Hybrid nonlinear moments in array processing and spectrum analysis

Author

Jacovitti, Giovanni ; Scarano, Gaetano

Author_Institution

INFOCOM Dept., Rome Univ., Italy

Volume

42

Issue

7

fYear

1994

fDate

7/1/1994 12:00:00 AM

Firstpage

1708

Lastpage

1718

Abstract

The aim of this paper is to provide a theoretical basis for the use of hybrid nonlinear (HNL) moments in array processing and spectrum analysis. These moments are defined as the expected value of the product of one random variable times a nonlinear function of another random variable. They generalize a class of twofold higher order moments, and their additional flexibility can be exploited for optimization purposes or for computational convenience. A number of properties beyond the classical Bussgang´s (1952) and Price´s (1958) theorems are found for HNL moments and matrices, making these statistics suitable for harmonic analysis and bearing estimation. Covariance based and higher order moments based methods are extended to the HNL moments domain, and a new class of Gaussian noise rejecting statistics is added to cumulants. The properties of some classes of matrices of HNL moments of practical interest are analyzed in detail

Keywords

array signal processing; harmonic analysis; matrix algebra; random noise; spectral analysis; Gaussian noise rejecting statistics; array processing; bearing estimation; covariance methods; cumulants; harmonic analysis; higher order moments; hybrid nonlinear moments; matrices; nonlinear function; optimization; random variable; spectrum analysis; Array signal processing; Covariance matrix; Direction of arrival estimation; Gaussian noise; Harmonic analysis; Higher order statistics; Linear systems; Random variables; Signal processing; Statistical analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.298278

Filename

298278