Application of the differential evolution algorithm to the optimization of two-dimensional synthetic aperture microwave radiometer circle array

A new optimization technique based on the differential evolution algorithm is presented for the design of two-dimensional synthetic aperture microwave radiometer circle array. The object function is designed by minimizing redundant array and maximizing the distance between spatial frequency coverage samples and the optimal results of 16~32 elements circle array are obtained. Compare with simulated annealing algorithm and symmetrical distribution array, the numerical results show that the differential evolution algorithm can obtain a better solution and observably decrease computational run time. The image reconstruction and inversion algorithm of two-dimensional synthetic aperture microwave radiometer is G matrix algorithm. Compare with the symmetrical circle array, the image reconstruction of the optimal array is better.