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This paper develops a method to enumerate the incident signals impinging on a uniform linear array (ULA) independent of the extent of their correlation in a Rayleigh flat fading channel environment. The method also minimizes the number of antennas to the number of signals and adapts continuously to maintain performance in a mobile environment where users (signals) come and go. It ensures that the amount of computation is kept to a minimum and, in a practical system, can reallocate computational resources to other applications. The technique is a modification of the matrix decomposition method of Cozzens and Sousa (1994). A new set of stability, stopping, and adaptive control criteria is presented. An algorithm is formulated, and simulation results are presented, showing performance and behavior at various signal-to-noise ratios (SNRs). Limitations of the algorithm in enumerating closely spaced signals are also presented.
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Green et al. (2002) studied this question.
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