Side Lobe Level Reduction of a Linear Array using Chebyshev Polynomial and Particle Swarm Optimization

In this paper a new approach for reducing the side lobe level of amplitude tapered linear array using Chebyshev polynomial and Particle Swarm Optimization (PSO) is presented. The array geometry synthesis is first formulated as an optimization problem with the goal of side lobe level reduction and then solved using PSO algorithm for optimum current excitations. While solving optimization problem using PSO algorithm, the boundary of search space must be available with the algorithm. Conventionally this piece of information is supplied to the algorithm in a random fashion. Instead of selecting the search space boundary in random fashion, it is being proposed to do so by using Chebyshev polynomial. Some designs examples are presented that illustrates the use of Chebyshev polynomial and PSO algorithm to reduce the Side Lobe Level (SLL).