Maximum likelihood estimation for array processing in colored noise

Author

Nagesha, Venkatesh ; Kay, Steven

Author_Institution

Dragon Syst. Inc., Newton, MA, USA

Volume

44

Issue

2

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

169

Lastpage

180

Abstract

Direction of arrival estimation of multiple sources, using a uniform linear array, in noise with unknown covariance is considered. The noise is modeled as a spatial autoregressive process with unknown parameters. Both stochastic and deterministic signal models are considered. For the random signal case, an approximate maximum likelihood estimator of the signal and noise parameters is derived. It requires numerical maximization of a compressed likelihood function over the unknown arrival angles. Analytical expressions for the MLEs of the signal covariance and the AR parameters are given. Similar results for the case of deterministic signals are also presented

Keywords

autoregressive processes; covariance analysis; direction-of-arrival estimation; linear antenna arrays; maximum likelihood estimation; noise; random processes; stochastic processes; AR parameters; MLE; approximate maximum likelihood estimator; array processing; arrival angles; colored noise; compressed likelihood function; deterministic signal model; direction of arrival estimation; maximum likelihood estimation; multiple sources; noise parameter; numerical maximization; random signal; signal covariance; signal parameters; spatial autoregressive process; stochastic signal model; uniform linear array; Array signal processing; Autoregressive processes; Colored noise; Covariance matrix; Finite impulse response filter; Maximum likelihood estimation; Noise reduction; Parameter estimation; Signal processing algorithms; Statistics;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.485914

Filename

485914