Conformal polarization array with the simultaneous transmitting of multi-beam array optimization based on double pareto theory

The anisotropic inconsistency of each array element of the polarized conformal array makes the beamforming need to optimize the position of the array elements according to the beam pointing in order to obtain a better power gain synthesis. When the array performs simultaneous beamforming how to make the performance of each beam better by array element optimization , the attribution of the multiplexed array elements is a difficult point. In response to this issue, a simultaneous transmitting of multi-beam array optimization based on double pareto(SMDAF-DP) algorithm is proposed. Firstly, the multi-objective particle swarm optimization algorithm based on pareto optimality theory is applied to the conformal polarization array and the preferred array is obtained by optimizing the position of the array elements for each beam separately; Secondly, a multivariate particle swarm optimization algorithm based on pareto optimality theory is proposed to solve the allocation of multiplexed array elements in preferred array for each beam. The final beam attribution of multiplexing array elements is determined by judging the particle positions by means of real number optimization; Finally, considering that beam distribution is sparse and dense, the algorithm is simulated and verified. The simulation results show that, compared with the existing algorithms, the proposed method can get better transmitted patterns for each beam separately while the array elements are not multiplexed. In addition, the proposed method also has better performance and is more robust than existing algorithms in the case of dense beam pointing.