An Efficient Approach for the Synthesis of Large Sparse Planar Array

• Published in: IEEE transactions on antennas and propagation Vol. 67; no. 12; pp. 7320 - 7330
• Main Authors: Gu, Pengfei, Wang, Gui, Fan, Zhenhong, Chen, Rushan
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Arrays; Forward–backward matrix enhancement and matrix pencil (FBMEMP); Hankel matrices; Matrix decomposition; matrix enhancement and matrix pencil (MEMP); Optimization; parallel computation; Parameter estimation; Planar arrays; Singular value decomposition; Sparse matrices; Synthesis; Transmission line matrix methods
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2019.2931959

An innovative noniterative approach based on the matrix enhancement and matrix pencil (MEMP) is proposed for the synthesis of arbitrary sparse planar arrays. In this study, the estimation of array parameters is recast as a 2-D pole extraction problem, and the number of array elements is minimized by the reduced rank processing. Subsequently, the Hankel matrix decomposition algorithm is exploited to accelerate the singular value decomposition (SVD) of the Hankel matrix constructed by the desired pattern samples, which conquers the restriction on the matrix dimension of the sampled Hankel matrix with the increasing of the number of array elements. The MEMP approach is further extended to the synthesis of shaped-beam patterns by using the forward-backward matrix enhancement and matrix pencil method (FBMEMP). A set of representative numerical experiments is provided to validate the effectiveness and advantages of the proposed method.