Stability Analysis of the RC-PLMS Adaptive Beamformer Using a Simple Transfer Function Approximation
| Autor: | Elie Inaty, Ghattas Akkad, Ali Mansour, Bachar El Hassan |
|---|---|
| Přispěvatelé: | Equipe Security, Intelligence and Integrity of Information (Lab-STICC_SI3), Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Lab-STICC), École Nationale d'Ingénieurs de Brest (ENIB)-Université de Bretagne Sud (UBS)-Université de Brest (UBO)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Institut Mines-Télécom [Paris] (IMT)-Centre National de la Recherche Scientifique (CNRS)-Université Bretagne Loire (UBL)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-École Nationale d'Ingénieurs de Brest (ENIB)-Université de Bretagne Sud (UBS)-Université de Brest (UBO)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Institut Mines-Télécom [Paris] (IMT)-Centre National de la Recherche Scientifique (CNRS)-Université Bretagne Loire (UBL)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT), École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne), Faculty of Engineering [Lebanese University] (ULFG), Lebanese University [Beirut] (LU), University of Balamand - UOB (LIBAN) |
| Rok vydání: | 2021 |
| Předmět: |
Mean squared error
Finite impulse response Beam forming networks Impulse response Mean square error Directional patterns (antenna) Least squares approximations Filter (signal processing) Adaptive algorithms Transfer function Approximation algorithms Least mean squares filter Discrete time and continuous time Beamforming Applied mathematics Linear combination [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing Adaptive beamformer Mathematics |
| Zdroj: | ICASSP ICASSP 2021-2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) ICASSP 2021-2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Jun 2021, Toronto, United States. pp.4645-4649, ⟨10.1109/ICASSP39728.2021.9413445⟩ |
| DOI: | 10.1109/icassp39728.2021.9413445 |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
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