Closed-form 2D angle estimation with uniform circular arrays via phase mode excitation and ESPRIT

Document Type

Conference Presentation

Department

Electrical and Computer Engineering

Conference Title

Conference Record of the Asilomar Conference on Signals, Systems & Computers

Date of Presentation

12-1-1993

Abstract

The UCA-ESPRIT algorithm developed within represents a significant advance in the area of 2D arrival angle estimation. It is a closed form algorithm for use in conjunction with uniform circular arrays (UCAs) that provides automatically paired source azimuth and elevation angle estimates. In contrast, the algorithms for 2D arrival angle estimation to date have required expensive spectral searches, iterative solutions to multi-dimensional optimization problems [1,2], or ad-hoc schemes for pairing direction cosine estimates with respect to each of a number of different array axes [3]. UCA-ESPRIT is fundamentally different from ESPRIT in that it is not based on a displacement invariance array structure but rather is based on phase mode excitation [1-5] and hinges on a recursive relationship between Bessel functions. In the final stage of UCA-ESPRIT, the ith eigenvalue has the form μi=sin θiejθi where θi and Θi are the azimuth and elevation angles of the ith source.

ISSN

1058-6393

Volume

1

First Page

169

Last Page

172

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