Synthesis of Sparse Planar Arrays Using Modified Real Genetic Algorithm

In array design, the positions of sparse array elements is an important concern for optimal performance in terms of its ability to achieve minimum peak sidelobe level (SLL). This paper proposes a modified real genetic algorithm (MGA) based on resetting of chromosome for the element position optimization of sparse planar arrays with rectangular boundary. And here the multiple optimization constraints include the number of elements, the aperture and the minimum element spacing. By simplifying the space between the elements from the actual distance to Chebychev distance, the MGA searches a smaller solution space by means of indirect description of individual, and it can avoid infeasible solution during the optimization process by two novel genetic operators. Finally, the simulation results confirming the great efficiency and the robustness of the proposed method are shown in this paper

[1]  Randy L. Haupt,et al.  Thinned arrays using genetic algorithms , 1993, Proceedings of IEEE Antennas and Propagation Society International Symposium.

[2]  Stephen G. Boucher,et al.  Optimum unequally spaced arrays and their amplitude shading , 1995, 1995 IEEE Ultrasonics Symposium. Proceedings. An International Symposium.

[3]  Sanjit K. Mitra,et al.  On properties and design of nonuniformly spaced linear arrays [antennas] , 1988, IEEE Trans. Acoust. Speech Signal Process..

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

[5]  A. Massa,et al.  Peak sidelobe level reduction with a hybrid approach based on GAs and difference sets , 2004, IEEE Transactions on Antennas and Propagation.

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

[7]  Sverre Holm,et al.  Weight- and Layout-Optimized Sparse Arrays , 1997 .

[8]  V. Murino,et al.  Stochastic optimization of linear sparse arrays , 1999 .

[9]  Andrea Trucco,et al.  Synthesis of sparse planar arrays , 1997 .

[10]  B. P. Kumar,et al.  Generalized analytical technique for the synthesis of unequally spaced arrays with linear, planar, cylindrical or spherical geometry , 2005, IEEE Transactions on Antennas and Propagation.

[11]  Randy L. Haupt,et al.  Unit circle representation of aperiodic arrays , 1995 .

[12]  David K. Cheng,et al.  Optimization techniques for antenna arrays , 1971 .

[13]  Andrea Trucco,et al.  Synthesis of aperiodic planar arrays by a stochastic approach , 1997, Oceans '97. MTS/IEEE Conference Proceedings.