Synthesis of sparse planar array using modified Bayesian Optimization Algorithm

Controlling the position of elements in sparse planar array would be the hardest work in the synthesis procedure since the array has to satisfy multiple design constraints e.g. number of elements, elements spacing and arrays aperture. In this paper, a simple method is implemented to effectively control 2-D sparse array. The approach implements two sets of data to separately manage the x- and y-coordinate of each element in the array. The array is then synthesized as an optimization problem using the recently improved version of Bayesian Optimization Algorithm. As a proof of concept, the results of a 108 element sparse planar array are here presented and discussed.

[1]  Randy L. Haupt.  Thinned arrays using genetic algorithms , 1994 .

[2]  B. P. Kumar,et al.  Design of unequally spaced arrays for performance improvement , 1999 .

[3]  A. Rydberg,et al.  Synthesis of uniform amplitude unequally spaced antenna arrays using the differential evolution algorithm , 2003 .

[4]  Quanyuan Feng,et al.  Synthesis of Unequally Spaced Antenna Arrays by Using Differential Evolution , 2010, IEEE Transactions on Antennas and Propagation.

[5]  D. Goldberg,et al.  BOA: the Bayesian optimization algorithm , 1999 .

[6]  B. Fuchs.  Synthesis of Sparse Arrays With Focused or Shaped Beampattern via Sequential Convex Optimizations , 2012, IEEE Transactions on Antennas and Propagation.

[7]  H. Unz,et al.  Linear Arrays with arbitrarily distributed elements , 1960 .

[8]  J. N. Sahalos,et al.  Sparse Linear Array Synthesis With Multiple Constraints Using Differential Evolution With Strategy Adaptation , 2011, IEEE Antennas and Wireless Propagation Letters.

[9]  Zhaoshui He,et al.  A modified real GA for the sparse linear array synthesis with multiple constraints , 2006 .

[10]  P. Pirinoli,et al.  Linear sparse array synthesis using Modified Bayesian Optimization Algorithm , 2013, 2013 IEEE Antennas and Propagation Society International Symposium (APSURSI).

[11]  P. Pirinoli,et al.  Modified Bayesian Optimization Algorithm for microstrip filter design , 2012, Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation.

[12]  Kesong Chen,et al.  Synthesis of Sparse Planar Arrays Using Modified Real Genetic Algorithm , 2007, IEEE Transactions on Antennas and Propagation.