High-resolution signal and noise field estimation using the L 1 (least absolute values) norm

Date

1987

Authors

Zala, C
Barrodale, I
Kennedy, J

Journal Title

Journal ISSN

Volume Title

Publisher

IEEE

Abstract

In this paper a new method for obtaining a quantitative estimate of an acoustic field consisting of a set of discrete sources and background noise is described. The method is based on theL1 (least absolute values) norm solution to an underdetermined system of linear equations defining the Fourier transform of the signal series. Implementations of the method with either equality or inequality constraints are presented and discussed. The much faster and more compact equality constraint version with a provision for modeling the noise field is recommended in practice. Experience with real data has shown the necessity of correcting for an observed Gaussian decay on the covariances. A simple means of estimating this effect and taking it into account in the signal estimation procedure is discussed, and the implications of this effect in high-resolution beamforming are considered. The effectiveness and versatility of theL1 method indicate that it has a useful role in high-resolution signal estimation.

Description

©1987 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

Keywords

Array processing, Signal detection, Spectral analysis

Citation

Zala C, Barrodale, I, Kennedy, J, IEEE Journal of Oceanic Engineering, Vol OE-12, No. 1, January 1987, pages 253-264