Abstract
A Feedback Particle Swarm Optimization (FPSO) with a family of fitness functions is proposed to minimize sidelobe level (SLL) and control null. In order to search in a large initial space and converge fast in local space to a refined solution, a FPSO with nonlinear inertia weight algorithm is developed, which is determined by a subtriplicate function with feedback taken from the fitness of the best previous position. The optimized objectives in the fitness function can obtain an accurate null level independently. The directly constrained SLL range reveals the capability to reduce SLL. Considering both element positions and complex weight coefficients, a low-level SLL, accurate null at specific directions, and constrained main beam are achieved. Numerical examples using a uniform linear array of isotropic elements are simulated, which demonstrate the effectiveness of the proposed array pattern synthesis approach.
Highlights
There are many synthesis methods for array pattern of minimum sidelobe level (SLL) and null control [1,2,3]
To illustrate the effectiveness of the proposed method, we compare the performance of Feedback Particle Swarm Optimization (FPSO) and different fitness with that of the genetic algorithms (GA) [7]
For the optimization of linear array, we search the best element positions and optimal complex weights to synthesize the pattern by FPSO in the following examples
Summary
There are many synthesis methods for array pattern of minimum sidelobe level (SLL) and null control [1,2,3] These proposed methods attempt to find the best solution for sensors position distribution or complex weight coefficients of linear array. In [12], an evolutionary method based on backtracking search optimization algorithm (BSA) is proposed for linear antenna array pattern synthesis with prescribed nulls at interference directions. Progress will be shown in a separate paper In this paper, both element positions and complex weight coefficients are optimized for minimum SLL and accurate null level at specific directions with constrained main beam. (ii) Considering both element positions and complex weight coefficients, a low-level SLL, accurate null at specific directions, and constrained main beam are achieved.
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