Analysis of a linearly constrained least-squares algorithm for adaptive beamforming

Franklin T. Luk; Sanzheng Qiao

doi:10.1117/12.130931

30 November 1992 Analysis of a linearly constrained least-squares algorithm for adaptive beamforming

Franklin T. Luk, Sanzheng Qiao

Proceedings Volume 1770, Advanced Signal Processing Algorithms, Architectures, and Implementations III; (1992) https://doi.org/10.1117/12.130931
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

The problem of linearly constrained least squares has many applications in signal processing. In this paper, we present a perturbation analysis of a novel, linearly constrained least squares algorithm for adaptive beamforming. The perturbation bounds for the solution as well as for the latest residual element are derived. We also propose an error estimation scheme for the residual element. This error estimation scheme can be incorporated into a systolic array implementation of the algorithm. The additional time required for error estimation is small, as we show how the processor idle time can be used to carry out almost all the calculations.

Citation Download Citation

Franklin T. Luk and Sanzheng Qiao "Analysis of a linearly constrained least-squares algorithm for adaptive beamforming", Proc. SPIE 1770, Advanced Signal Processing Algorithms, Architectures, and Implementations III, (30 November 1992); https://doi.org/10.1117/12.130931

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