Convergence analysis of Bessel beamformer and its comparison with LMS in adaptive array system

• Published in: Compel Vol. 34; no. 3; pp. 952 - 961
• Main Authors: Yasin, M, Akhtar, Pervez
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Group Publishing Limited 01.01.2015
• Subjects: Adaptation; Adaptive algorithms; Adaptive systems; Algorithms; Antenna arrays; Arrays; Beamforming; Communications systems; Computer programs; Computer simulation; Convergence; Design engineering; Electrical & electronic engineering; Electrical engineering; Engineering; Expected values; Impact factors; Least mean squares algorithm; Mathematical models; Matlab; Mean square errors; Microprocessors; Orthogonality; Product differentiation; Remote sensors; Sensor arrays; Signal processing; Simulation; Wiener filtering; Wireless sensor networks; Signal processing; Wireless sensor networks; Smart or adaptive array system; Adaptive techniques; Convergence
• ISSN: 0332-1649; 2054-5606
• DOI: 10.1108/COMPEL-07-2014-0184

Purpose – The purpose of this paper is to analyze the convergence performance of Bessel beamformer, based on the design steps of least mean square (LMS) algorithm, can be named as Bessel LMS (BLMS) algorithm. Its performance is compared in adaptive environment with LMS in terms of two important performance parameters, namely; convergence and mean square error. The proposed BLMS algorithm is implemented on digital signal processor along with antenna array to make it smart in wireless sensor networks. Design/methodology/approach – Convergence analysis is theoretically developed and verified through MatLab Software. Findings – Theoretical model is verified through simulation and its results are shown in the provided table. Originality/value – The theoretical model can obtain validation from well-known result of Wiener filter theory through principle of orthogonality.