A Fast QR-Based Array-Processing Algorithm

James P. Reilly; W. G. Chen; K. M. Wong

doi:10.1117/12.948489

23 February 1988 A Fast QR-Based Array-Processing Algorithm

James P. Reilly, W. G. Chen, K. M. Wong

Proceedings Volume 0975, Advanced Algorithms and Architectures for Signal Processing III; (1988) https://doi.org/10.1117/12.948489
Event: 32nd Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1988, San Diego, CA, United States

Abstract

We propose a new projection-based algorithm for estimating the angles of arrival of plane waves incident onto arrays of sensors. The method is based on a single QR decomposition of the signal covariance matrix; hence, it is much faster than eigen-based methods which require many QR decompositions. It is shown that optimum performance is attained only if the columns of the covariance matrix are permuted in a prescribed manner before the QR decomposition proceeds. An adjunct to the angle of arrival estimation process is a new eigenvalue-free technique for estimating the number of incident signals. There is no performance penalty associated with either of these new methods. The real-time performance of this technique is enhanced through the use of systolic arrays. A novel systolic array structure is proposed for extracting both the Q and R matrices generated by the QR decomposition.

Citation Download Citation

James P. Reilly, W. G. Chen, and K. M. Wong "A Fast QR-Based Array-Processing Algorithm", Proc. SPIE 0975, Advanced Algorithms and Architectures for Signal Processing III, (23 February 1988); https://doi.org/10.1117/12.948489

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