Article (Scientific journals)
Sparse Antenna Array Optimization with the Cross-Entropy Method
Minvielle, Pierre; Tantar, Emilia; Tantar, Alexandru-Adrian et al.
2011In IEEE Transactions on Antennas and Propagation, 59 (8), p. 2862 - 2871
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Abstract :
[en] 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.
Disciplines :
Computer science
Identifiers :
UNILU:UL-ARTICLE-2011-413
Author, co-author :
Minvielle, Pierre;  DAM, CEA, LeBarp, France
Tantar, Emilia ;  INRIA Bordeaux Sud-Ouest, Mathematics Institute of Bordeaux, France
Tantar, Alexandru-Adrian ;  INRIA Bordeaux Sud-Ouest, Mathematics Institute of Bordeaux, France
Bérisset, Philippe;  DAM, CEA, LeBarp, France
Language :
English
Title :
Sparse Antenna Array Optimization with the Cross-Entropy Method
Publication date :
2011
Journal title :
IEEE Transactions on Antennas and Propagation
ISSN :
0018-926X
eISSN :
1558-2221
Publisher :
IEEE Antennas and Propagation Society
Volume :
59
Issue :
8
Pages :
2862 - 2871
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 12 November 2013

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