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Exact pdfs for sample covariance based array processors with elliptically contoured data

Publication ,  Conference
Richmond, CD
Published in: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
January 1, 1996

Practical application of array processors typically requires use of a sample covariance matrix (SCM). We add to the many results on SCM based (SCB) array processors by weakening the traditional assumption of data Gaussianity and subsequently providing for a class of array processors additional performance measures of value in practice. The snapshot data matrix is assumed complex multivariate elliptically contoured (MEG) distributed. The performance measures include the exact probability density functions (pdfs) and moments of the SCB weightings and beam responses of the following array processors: (1) Maximum-Likelihood signal vector estimator, (2) Linearly Constrained Minimum Variance beamformer (LCMV), (3) Minimum Variance Distortionless Response beamformer, and (4) Generalized Sidelobe Cancellor implementation of the LCMV beamformer. The SCB weightings for these array processors are complex multivariate standardized t-distributed and the SCB beam responses are generalized t. All results are completely invariant over the class of MEC's considered.

Duke Scholars

Published In

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

ISSN

0736-7791

Publication Date

January 1, 1996

Volume

5

Start / End Page

2849 / 2851
 

Citation

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MLA
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Richmond, C. D. (1996). Exact pdfs for sample covariance based array processors with elliptically contoured data. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 5, pp. 2849–2851).
Richmond, C. D. “Exact pdfs for sample covariance based array processors with elliptically contoured data.” In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 5:2849–51, 1996.
Richmond CD. Exact pdfs for sample covariance based array processors with elliptically contoured data. In: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 1996. p. 2849–51.
Richmond, C. D. “Exact pdfs for sample covariance based array processors with elliptically contoured data.” ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 5, 1996, pp. 2849–51.
Richmond CD. Exact pdfs for sample covariance based array processors with elliptically contoured data. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 1996. p. 2849–2851.

Published In

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

ISSN

0736-7791

Publication Date

January 1, 1996

Volume

5

Start / End Page

2849 / 2851