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

Abstract

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.

Citation

Yasin, M. and Akhtar, P. (2015), "Convergence analysis of Bessel beamformer and its comparison with LMS in adaptive array system", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 34 No. 3, pp. 952-961. https://doi.org/10.1108/COMPEL-07-2014-0184