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

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dc.contributor.author Zala, C
dc.contributor.author Barrodale, I
dc.contributor.author Kennedy, J
dc.date.accessioned 2009-07-21T19:47:27Z
dc.date.available 2009-07-21T19:47:27Z
dc.date.copyright 1987 en
dc.date.issued 1987
dc.identifier.citation Zala C, Barrodale, I, Kennedy, J, IEEE Journal of Oceanic Engineering, Vol OE-12, No. 1, January 1987, pages 253-264 en
dc.identifier.uri http://hdl.handle.net/1828/1468
dc.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. en
dc.description.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. en
dc.language.iso en en
dc.publisher IEEE en
dc.subject Array processing en
dc.subject Signal detection en
dc.subject Spectral analysis en
dc.title High-resolution signal and noise field estimation using the L 1 (least absolute values) norm en
dc.type Article en


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