Chaos Theory Implementation on the LMS Algorithm Optimization Applied on Linear Antenna Arrays

Abstract

In this paper, we proposed the chaos based optimization of the LMS algorithm. The goal of this beamforming algorithm optimization using the chaos theory is the adaptation of a linear antenna array radiation diagram to the specific combination of received signals’ incident angles, their as much as possible precise estimation and the setting of radiation diagram’s depth zero in the directions of the interfering signals. Unlike conventional adaptive algorithms, the proposed chaotic LMS algorithm allows the adjustment of radiation diagrams in the case of a large number of incident signals, desired and interfering signals, and reducing the width and the number of dead zones. The tracking capabilities performance check has been performed on this when the reference signal has noise present.