Far-Field Synthesis of Sparse Arrays with Cross-polar Pattern Reduction

作者

  • Giulia Buttazzoni Department of Engineering and Architecture University of Trieste, Via A. Valerio 10, Trieste, 34127, Italy
  • Roberto Vescovo Department of Engineering and Architecture University of Trieste, Via A. Valerio 10, Trieste, 34127, Italy

关键词:

Co-polar and cross-polar patterns, farfield synthesis, geometrical synthesis, sparse arrays

摘要

This paper presents a fully deterministic iterative algorithm for the far-field synthesis of antenna arrays with reduction of the cross-polar component. The algorithm synthesizes the excitations as well as the positions of the array elements, providing a sparse geometry. Starting from an initial set of possible positions, the proposed algorithm iteratively solves a sequence of convex optimization problems. At each iteration a suitable objective function is minimized, which allows to reduce the number of radiating elements, among those of the initial set, in presence of constraints on the far-field co-polar and cross-polar patterns. The adopted formulation leads to a second order cone problem (SOCP), which is iteratively solved with CVX, a Matlab-based modeling system developed at the Stanford University and available on the Internet.

##plugins.generic.usageStats.downloads##

##plugins.generic.usageStats.noStats##

参考

C. A. Balanis, Modern Antenna Handbook, John Wiley and Sons, 2008.

A. D. Bresler, “A new algorithm for calculating the current distribution of Dolph-Chebyshev arrays,” Antennas and Propagation, IEEE Transactions on, vol. 28, pp. 951-952, Nov. 1980.

A. T. Villeneuve, “Taylor patterns for dicrete arrays,” Antennas and Propagation, IEEE Transactions on, vol. 32, pp. 1089-1093, Oct. 1984.

S. W. Autrey, “Approximate synthesis of nonseparable design responses for rectangular arrays,” Antennas and Propagation, IEEE Transactions on, vol. 35, pp. 907-912, Aug. 1987.

R. Vescovo, “Constrained and unconstrained synthesis of array factor for circular arrays,” Antennas and Propagation, IEEE Transactions on, vol. 43, no. 12, pp. 1405-1410, Dec. 1995.

T. T. Taylor, “Design of circular apertures for narrow beamwidths and low side lobes,” Trans. IRE, vol. 8, pp. 17-22, Jan. 1960.

G. Buttazzoni and R. Vescovo, “An efficient and versatile technique for the synthesis of 3D copolar and crosspolar patterns of phase-only reconfigurable conformal arrays with DRR and near-field control,” Antennas and Propagation, IEEE Transactions on, vol. 62, no. 4, pp. 1640-1651, Apr. 2014.

L. I. Vaskelainen, “Constrained least-squares optimization in conformal array antenna synthesis,” Antennas and Propagation, IEEE Transactions on, vol. 55, no. 3, pp. 859-867, Mar. 2007.

G. Buttazzoni and R. Vescovo, “Deterministic and stochastic approach to the synthesis of conformal arrays for SAR applications,” Electromagnetics in Advanced Applications (ICEAA), 2013 International Conference on, pp. 520-523, Sept. 9-13, 2013.

J. M. Johnson and Y. Rahmat-Samii, “Genetic algorithms in electromagnetics,” IEEE Antennas Propag. Magazine, vol. 39, pp. 7-21, Aug. 1997.

J. L. Araque Quijano, M. Righero, and G. Vecchi, “Sparse 2-D array placement for arbitrary pattern mask and with excitation constraints: a simple deterministic approach,” Antennas and Propagation, IEEE Transactions on, vol. 62, no. 4, pp. 1652- 1662, Apr. 2014.

V. Murino, A. Trucco, and C. S. Regazzoni, “Synthesis of unequally spaced arrays by simulated annealing,” Signal Processing, IEEE Transactions on, vol. 44, no. 1, pp. 119-122, Jan. 1996.

B. Fuchs, “Synthesis of sparse arrays with focused or shaped beampattern via sequential convex optimizations,” Antennas and Propagation, IEEE Transactions on, vol. 60, no. 7, pp. 3499-3503, Jul. 2012.

E. J. Candés, M. B. Wakin, and S. P. Boyd, “Enhancing sparsity by reweighted l1 minimization,” J. Fourier Analy. Appl., vol. 14, pp. 877-905, Dec. 2008.

G. Buttazzoni and R. Vescovo, “Synthesis of copolar and cross-polar patterns with dynamic range ratio reduction for phase-only reconfigurable arrays,” Antennas and Propagation (EUCAP), 2012 6th European Conference on, pp. 2623-2627, Mar. 26-30, 2012.

R. Vescovo, “Power pattern synthesis for antenna arrays with null constraints in the near-field region,” Microwave and Optical Technology Letters, vol. 44, no. 6, pp. 542-545, Mar. 2005.

CVX, [Online]. Available at: http://cvxr.com/cvx/ download/

##submission.downloads##

已出版

2021-07-27

栏目

General Submission