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Title: Stability analysis of the RC-PLMS adaptive beamformer using a simple transfer function approximation
Authors: Akkad, Ghattas 
Mansour, Ali
ElHassan, Bachar
Inaty, Elie 
Affiliations: Department of Computer Engineering 
Department of Computer Engineering 
Keywords: Adaptive beamforming
Farrow filter
Parallel LMS
Transfer function
Issue Date: 2021
Part of: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Conference: International Conference on Acoustics, Speech, and Signal Processing, ICASSP ( 6-11 June, 2021 : Toronto, Canada )
In this paper, we propose a discrete time transfer function approximation for the reduced complexity parallel least mean square (RC-pLMS) adaptive beamforming algorithm. The RC-pLMS is built using a single least mean square (LMS) stage whose inputs are obtained as a linear combination of the present and past sample. Thus, in order to numerically assess the RC-pLMS stability and to determine the approximate maximum parametric value of the step size for which it remains stable, we derive its discrete time transfer function approximate. In this approximation, the input uniform linear antenna array is remodeled as a finite impulse response (FIR) fractional delay Farrow filter. Computer simulations, presented by the mean square error and beam radiation pattern, demonstrates the validity of the transfer function approximate. Additionally, the RC-pLMS stability is evaluated, with respect to the pole-zero plot, for different step sizes and the approximate upper bound value of the step size is determined.
ISSN: 15206149
DOI: 10.1109/ICASSP39728.2021.9413445
Ezproxy URL: Link to full text
Type: Conference Paper
Appears in Collections:Department of Computer Engineering

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