scholarly journals Improved alternating projection algorithm for pattern synthesis with dual polarised conformal arrays

2020 ◽  
Vol 14 (9) ◽  
pp. 891-896
Author(s):  
Chao Liu ◽  
Chuan Li ◽  
Bo Yang
Keyword(s):  
Projection Algorithm ◽  
Pattern Synthesis ◽  
Conformal Arrays ◽  
Alternating Projection

scholarly journals A New Iterative Algorithm for Solving a Class of Matrix Nearness Problem

2012 ◽  
Vol 2012 ◽  
pp. 1-6
Author(s):  
Xuefeng Duan ◽  
Chunmei Li
Keyword(s):  
Iterative Algorithm ◽  
Projection Algorithm ◽  
Frobenius Norm ◽  
Matrix Equations ◽  
Von Neumann ◽  
Numerical Examples ◽  
Matrix Nearness Problem ◽  
Least Frobenius Norm Solution ◽  
Alternating Projection ◽  
The Matrix

Based on the alternating projection algorithm, which was proposed by Von Neumann to treat the problem of finding the projection of a given point onto the intersection of two closed subspaces, we propose a new iterative algorithm to solve the matrix nearness problem associated with the matrix equations AXB=E, CXD=F, which arises frequently in experimental design. If we choose the initial iterative matrix X0=0, the least Frobenius norm solution of these matrix equations is obtained. Numerical examples show that the new algorithm is feasible and effective.

scholarly journals Dykstra′s Alternating Projection Algorithm for Two Sets

1994 ◽  
Vol 79 (3) ◽  
pp. 418-443 ◽  
Author(s):  
H.H. Bauschke ◽  
J.M. Borwein
Keyword(s):  
Projection Algorithm ◽  
Alternating Projection

scholarly journals Radiation of a Circular Arc Source in a Limited Angle for Non-uniform Conformal Arrays

2020 ◽  
Author(s):  
Giovanni Leone ◽  
Fortuna Munno ◽  
Rocco Pierri
Keyword(s):  
Inverse Problem ◽  
Degrees Of Freedom ◽  
Angular Width ◽  
Pattern Synthesis ◽  
Circular Arc ◽  
Conformal Antennas ◽  
Radiation Properties ◽  
Near Zone ◽  
Conformal Arrays

Conformal antennas lack of general analysis methods of their radiation properties. For a circumference source, we examine the role of the angular width of the observation domain both in far and near zone in determining the set of radiated fields. By an inverse problem approach, the evaluation of the number of independent pieces of information, i.e. the number of degrees of freedom (NDF), and the analysis of the reconstructions of point-like sources allow to introduce optimal array configurations. The results are relevant to the radiation pattern synthesis problem and to array diagnostics applications.

scholarly journals Pattern Synthesis for Dual-Polarized Conformal Arrays via Iterative Convex Optimization

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Chao Liu ◽  
Chuan Li ◽  
Bo Yang
Keyword(s):  
Convex Optimization ◽  
Side Lobe ◽  
Main Lobe ◽  
Pattern Synthesis ◽  
Polarization Component ◽  
Conformal Arrays ◽  
Good Pattern ◽  
Nonconvex Constraint ◽  
Convergence Performance ◽  
Dual Polarized

An iterative convex optimization (ICO) algorithm is proposed to solve pattern synthesis problem under the framework of dual-polarized conformal arrays in this paper. The subproblems of shaping main lobe, optimizing side lobe, and suppressing cross-polarization component are summarized as a joint optimization problem. To solve this problem, the nonconvex constraint about main lobe is rewritten as a convex constraint, which will bring error. And an auxiliary phase function is introduced to correct this error alternatively. Due to the deviation between auxiliary phase and real phase of pattern function, a method minimizing the peak of the synthesis error over observation angles is effectively applied to further improve the performance of the method. Numerical examples show good pattern synthesis ability and convergence performance of the ICO method.

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