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Statistics of adaptive nulling and use of the generalized eigenrelation (GER) for modeling inhomogeneities in adaptive processing

Publication ,  Journal Article
Richmond, CD
Published in: IEEE Transactions on Signal Processing
May 1, 2000

This paper examines the integrity of the generalized eigenrelation (GER), which is an approach to assessing performance in an adaptive processing context involving covariance estimation when the adaptive processors are subject to undernulled interference. The GER is a mathematical relation, which if satisfied, often facilitates closed-form analysis of adaptive processors employing estimated covariances subject to inhomogeneities. The goal of this paper is to determine what impact this constraint has on the integrity of the adaptive nulling process. In order to examine the impact of the GER constraint on adaptive nulling, we establish fundamental statistical convergence properties of an adaptive null for the sample covariance-based (SCB) minimum variance distortionless response (MVDR) beamformer. Novel exact expressions relating the mean and variance of an adaptive null of a homogeneously trained beamformer to the mean and variance of a nonhomogeneous trained beamformer are derived. In addition, it is shown that the Reed et al. result for required sample support can be highly inaccurate under nonhomogeneous conditions. Indeed, the required sample support can at times depend directly on the power of the undernulled interference. © 2000 IEEE.

Duke Scholars

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

May 1, 2000

Volume

48

Issue

5

Start / End Page

1263 / 1273

Related Subject Headings

  • Networking & Telecommunications
 

Citation

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Richmond, C. D. (2000). Statistics of adaptive nulling and use of the generalized eigenrelation (GER) for modeling inhomogeneities in adaptive processing. IEEE Transactions on Signal Processing, 48(5), 1263–1273. https://doi.org/10.1109/78.839974
Richmond, C. D. “Statistics of adaptive nulling and use of the generalized eigenrelation (GER) for modeling inhomogeneities in adaptive processing.” IEEE Transactions on Signal Processing 48, no. 5 (May 1, 2000): 1263–73. https://doi.org/10.1109/78.839974.
Richmond, C. D. “Statistics of adaptive nulling and use of the generalized eigenrelation (GER) for modeling inhomogeneities in adaptive processing.” IEEE Transactions on Signal Processing, vol. 48, no. 5, May 2000, pp. 1263–73. Scopus, doi:10.1109/78.839974.

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

May 1, 2000

Volume

48

Issue

5

Start / End Page

1263 / 1273

Related Subject Headings

  • Networking & Telecommunications