Abstract
Abstract In this paper, a novel hybrid algorithm on beam pattern synthesis of sparse arrays is proposed, which aims at minimizing the peak sidelobe level (PSLL). Sparse arrays can provide higher spatial resolution and relatively lower sidelobe than general arrays, but it is necessary to solve the multi-constraint problem of nonconvex nonlinear. Thus, we propose a Convex Improved Genetic Algorithm (CIGA) that can adjust the positions and the excitation coefficients of arrays to achieve the minimum PSLL. The CIGA is an effective two-step approach to the synthesis of sparse array. Firstly, Improved Genetic Algorithm is proposed, which is suitable for beam pattern synthesis of sparse arrays. The Improved Genetic Algorithm is adopted to adjust the positions of arrays to achieve the local optimum PSLL, and then convex optimization method is used to calculate the excitation coefficients in expectation of reaching the minimum PSLL. Simulation results show that the PSLL obtained by CIGA is about 5dB better than the published methods in sparse linear arrays and prove that the CIGA is superior to the published methods.
Highlights
Nowadays, antenna arrays can be widely applied to a system including radar, radio astronomy and satellite communication system
In order to illustrate the superiority of the proposed algorithm in this paper, the Convex Improved Genetic Algorithm (CIGA) is compared with Dynamic parameters differential evolution algorithm (DPDE) [12], Two Step Approach (TSA)
To solve the nonconvex nonlinear problem in the synthesis of sparse arrays, a novel hybrid algorithm is proposed in this paper
Summary
Antenna arrays can be widely applied to a system including radar, radio astronomy and satellite communication system. Synthesis of antenna arrays has been researched for several decades. Different from synthesis of single-antenna, synthesis of antenna arrays can be considered as a multiconstraint optimization problem, which requires more advanced optimization methods [1]. The PSLL of uniform Substrate Integrated Waveguide slot antenna arrays is close to -13.60 dB, but in common radar system, the lower PSLL is often required [2]. It is necessary to research an effective method to depress the PSLL of antenna arrays. Analyzing the expression of the array factor, we find that the element positions and amplitude and phase of the excitation coefficients are the main factors affecting the radiation pattern of antenna arrays. It is clear that the former reduce the degree of freedom of the optimization process, and cannot get the minimum
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