An analysis of the projection method for robust adaptive beamforming

Author

Feldman, David D.

Author_Institution

Lockheed Martin Western Dev. Labs., San Jose, CA, USA

Volume

44

Issue

7

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

1023

Lastpage

1030

Abstract

Two causes of performance degradation in adaptive beamforming are perturbation error and sample covariance error. These causes were discussed by Feldman and Griffihs (see IEEE Trans. Signal Processing, vol.42, p.867, April, 1994), which proposed an approach termed the projection method to reduce the sensitivity of the beamformer performance to both types of error. This paper contains an analysis of the expected performance of the beamformer when it is implemented, either with or without using the projection method. Based on a second-order Taylor series expansion of an approximate expression for the signal to interference-plus-noise ratio (SINR) at the beamformer output, the analysis provides accurate results when either perturbation error or sample covariance error occurs. A less accurate analysis based on a zeroth-order Taylor series expansion includes results presented by Jablon (1986) and Chang and Yeh (see ibid., vol.40, no.11, p.1336, 1992) as special cases

Keywords

approximation theory; array signal processing; covariance analysis; error analysis; interference (signal); series (mathematics); signal sampling; SINR; beamformer output; beamformer performance; performance degradation; perturbation error; projection method; robust adaptive beamforming; sample covariance error; second-order Taylor series expansion; signal to interference-plus-noise ratio; zeroth-order Taylor series expansion; Array signal processing; Covariance matrix; Degradation; Interference; Performance analysis; Robustness; Sensor arrays; Signal analysis; Signal to noise ratio; Taylor series;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.504311

Filename

504311