Performance analysis of wideband direction finding using interpolated arrays

Benjamin Friedlander; Anthony J. Weiss

doi:10.1109/ICASSP.1992.226337

Performance analysis of wideband direction finding using interpolated arrays

Benjamin Friedlander, Anthony J. Weiss

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A new direction finding algorithm is derived for multiple wideband signals received by an arbitrary array, and its performance is analyzed. Using an interpolation technique, a set of virtual arrays is generated, each for a direct frequency band, having the same array manifold. The covariance matrices of these arrays are added up to produce a composite covariance matrix. Direction of arrival estimates are obtained by eigendecomposition of this composite covariance matrix using the narrowband MUSIC algorithm or its variants. By choosing the virtual arrays to be linear and equally spaced, one can apply the root-MUSIC algorithm to this problem. Closed-form expressions for the asymptotic covariance matrix of the direction of arrival (DOA) estimation errors are derived using a perturbation analysis.

Original language	English
Title of host publication	ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	457-460
Number of pages	4
ISBN (Electronic)	0780305329
DOIs	https://doi.org/10.1109/ICASSP.1992.226337
State	Published - 1992
Event	1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 - San Francisco, United States Duration: 23 Mar 1992 → 26 Mar 1992

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	4
ISSN (Print)	1520-6149

Conference

Conference	1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Country/Territory	United States
City	San Francisco
Period	23/03/92 → 26/03/92

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10.1109/ICASSP.1992.226337

Cite this

Friedlander, B., & Weiss, A. J. (1992). Performance analysis of wideband direction finding using interpolated arrays. In ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing (pp. 457-460). [226337] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 4). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.1992.226337

Friedlander, Benjamin ; Weiss, Anthony J. / Performance analysis of wideband direction finding using interpolated arrays. ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 457-460 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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abstract = "A new direction finding algorithm is derived for multiple wideband signals received by an arbitrary array, and its performance is analyzed. Using an interpolation technique, a set of virtual arrays is generated, each for a direct frequency band, having the same array manifold. The covariance matrices of these arrays are added up to produce a composite covariance matrix. Direction of arrival estimates are obtained by eigendecomposition of this composite covariance matrix using the narrowband MUSIC algorithm or its variants. By choosing the virtual arrays to be linear and equally spaced, one can apply the root-MUSIC algorithm to this problem. Closed-form expressions for the asymptotic covariance matrix of the direction of arrival (DOA) estimation errors are derived using a perturbation analysis.",

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Friedlander, B & Weiss, AJ 1992, Performance analysis of wideband direction finding using interpolated arrays. in ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing., 226337, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 4, Institute of Electrical and Electronics Engineers Inc., pp. 457-460, 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992, San Francisco, United States, 23/03/92. https://doi.org/10.1109/ICASSP.1992.226337

Performance analysis of wideband direction finding using interpolated arrays. / Friedlander, Benjamin; Weiss, Anthony J.

ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc., 1992. p. 457-460 226337 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 4).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - A new direction finding algorithm is derived for multiple wideband signals received by an arbitrary array, and its performance is analyzed. Using an interpolation technique, a set of virtual arrays is generated, each for a direct frequency band, having the same array manifold. The covariance matrices of these arrays are added up to produce a composite covariance matrix. Direction of arrival estimates are obtained by eigendecomposition of this composite covariance matrix using the narrowband MUSIC algorithm or its variants. By choosing the virtual arrays to be linear and equally spaced, one can apply the root-MUSIC algorithm to this problem. Closed-form expressions for the asymptotic covariance matrix of the direction of arrival (DOA) estimation errors are derived using a perturbation analysis.

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Friedlander B, Weiss AJ. Performance analysis of wideband direction finding using interpolated arrays. In ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc. 1992. p. 457-460. 226337. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.1992.226337

Performance analysis of wideband direction finding using interpolated arrays

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