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Sparse Antenna Array Optimization With the Cross-Entropy Method

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4 Author(s)
Minvielle, P. ; DAM, CEA, LeBarp, France ; Tantar, E. ; Tantar, A. ; Berisset, P.

The interest in sparse antenna arrays is growing, mainly due to cost concerns, array size limitations, etc. Formally, it can be shown that their design can be expressed as a constrained multidimensional nonlinear optimization problem. Generally, through lack of convex property, such a multiextrema problem is very tricky to solve by usual deterministic optimization methods. In this article, a recent stochastic approach, called Cross-Entropy method, is applied to the continuous constrained design problem. The method is able to construct a random sequence of solutions which converges probabilistically to the optimal or the near-optimal solution. Roughly speaking, it performs adaptive changes to probability density functions according to the Kullback-Leibler cross-entropy. The approach efficiency is illustrated in the design of a sparse antenna array with various requirements.

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Antennas and Propagation, IEEE Transactions on  (Volume:59 ,  Issue: 8 )