This paper addresses the problem of designing shaped beam patterns with arbitrary arrays subject to constraints. The constraints\ncould include the sidelobe level suppression in specified angular intervals, the mainlobe half power beamwidth, and the predefined\nnumber of elements. In this paper, we propose a new Differential Evolution algorithm, which combines Composite DE with an\neigenvector-based crossover operator (CODE-EIG). This operator utilizes eigenvectors of covariance matrix of individual solutions,\nwhich makes the crossover rotationally invariant. We apply this novel design method to shaped beam pattern synthesis for linear\nand conformal arrays. We compare this algorithm with other popular algorithms and DE variants. The results show CODE-EIG\noutperforms the other DE algorithms in terms of statistical results and convergence speed.
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