An Array Pattern Synthesis Method with the Constraint of Weight Amplitude Dynamic Range

2009 ◽  
Author(s):  
Xuehui He ◽  
Ying Liu ◽  
Shunjun Wu
Keyword(s):  
Dynamic Range ◽  
Synthesis Method ◽  
Pattern Synthesis ◽  
Array Pattern

scholarly journals Synthesis of Steered Flat-top Beam Pattern Using Evolutionary Algorithm

2016 ◽  
Vol 5 (3) ◽  
pp. 86 ◽  
Author(s):  
D. Mandal ◽  
K. S. Kola ◽  
J. Tewary ◽  
V. P. Roy ◽  
A. K. Bhattacharjee
Keyword(s):  
Evolutionary Algorithm ◽  
Dynamic Range ◽  
Synthesis Method ◽  
Elevation Angle ◽  
Differential Evolution Algorithm ◽  
Beam Pattern ◽  
Main Beam ◽  
Pattern Synthesis ◽  
Feed Networks ◽  
Flat Top Beam

In this paper a pattern synthesis method based on Evolutionary Algorithm is presented. A Flat-top beam pattern has been generated from a concentric ring array of isotropic elements by finding out the optimum set of elements amplitudes and phases using Differential Evolution algorithm. The said pattern is generated in three predefined azimuth planes instate of a single phi plane and also verified for a range of azimuth plane for the same optimum excitations. The main beam is steered to an elevation angle of 30 degree with lower peak SLL and ripple. Dynamic range ratio (DRR) is also being improved by eliminating the weakly excited array elements, which simplify the design complexity of feed networks.

scholarly journals Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Yubing Han ◽  
Chuan Wan
Keyword(s):  
Practical Importance ◽  
Synthesis Method ◽  
Invariance Property ◽  
Pattern Synthesis ◽  
Scaling Invariance ◽  
Array Pattern ◽  
Pattern Projection ◽  
Weighted Matrix ◽  
Alternating Projection ◽  
Selection Of

Array synthesis with embedded element patterns is a problem of great practical importance. In this paper, an array pattern synthesis method using scalable alternating projection and proximal splitting is proposed which considers the scaling invariance property of design specifications and constraints for the amplitudes of pattern and excitation. Under the framework of alternating projection, the scalable pattern and excitation constraint sets are first defined. Then the scalable pattern projection and iterative procedure for optimum pattern scaling factor are studied in detail. For the scalable excitation projection, it is designed as the solution to a constrained weighted least mean squares optimization, which can be solved by an effective forward-backward splitting iterative process. Finally, the selection of the weighted matrix and computational complexity are discussed briefly. Several typical linear and planar synthesis examples with or without the embedded element patterns are provided to demonstrate the effectiveness and power of the proposed method.

scholarly journals Fast Synthesis Method for Large Aperture Array Pattern in the Presence of Array Errors

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Lihuan Huo ◽  
Rulong Bai ◽  
Fei Xue ◽  
Jianfeng Chen ◽  
Penghui Huang ◽  
...  
Keyword(s):  
Taylor Expansion ◽  
Synthesis Method ◽  
Pattern Synthesis ◽  
Rectangular Array ◽  
Scanning Angle ◽  
Theoretical Simulation ◽  
Large Aperture ◽  
Position Errors ◽  
Array Pattern ◽  
Array Errors

In this paper, an improved array synthesis method with array errors is proposed for large aperture arrays. Because of the array errors such as amplitude-phase errors and positions errors, the performance of the array synthesis is reduced seriously. Firstly, the ideal fast low sidelobe synthesis method is obtained based on the discrete Fourier transform (DFT) method. Then, by using Taylor expansion to remove the coupling relationship between the position of the element and the scanning angle, the compensation matrix for the pattern function and the array weighted vector with amplitude phase and position errors are derived. At last, the conversion relationship between the array with errors and the array weight vector is corrected in the iterative process. The theoretical simulation experiments verify the effectiveness and robustness of the proposed method for the linear array and rectangular array pattern synthesis. Then, the influence of Taylor expansion order on the pattern synthesis results is analysed.

scholarly journals Research on Multibeam Pattern Synthesis of Time Modulated Array Based on Convex Optimization

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Jiawen Hu ◽  
Xikuan Dong ◽  
Jing Tan ◽  
Yachao Jiang ◽  
Hailin Li
Keyword(s):  
Convex Optimization ◽  
Dynamic Range ◽  
Linear Array ◽  
Synthesis Method ◽  
Optimization Method ◽  
Center Frequency ◽  
Pattern Synthesis ◽  
Beam Radiation ◽  
Second Stage ◽  
Two Stages

An efficient multibeam pattern synthesis method for time modulated array (TMA) is proposed in this paper. The aim of this method is to generate a beam pattern on the specified sideband of TMA. The pattern synthesis problem is divided into two stages. In the first stage, the sequential convex optimization method is used to suppress the sidelobe of the center frequency and reduce the amplitude dynamic range ratios (DRR). In the second stage, the iterative convex optimization method is used to realize the multibeam pattern synthesis in the sideband. Owing to the introduction of convex optimization, the proposed method could be more efficient than approaches using a global optimization algorithm. The proposed method is capable of realizing pattern synthesis under different DRR constraints and different beam radiation directions. Numerical examples of two beams and four beams patterns of 1000-element time modulated linear array verify the effectiveness of the proposed method.

scholarly journals An Improved Antenna Array Pattern Synthesis Method Using Fast Fourier Transforms

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Xucun Wang ◽  
Yiguo Zhou ◽  
Yanfei Wang
Keyword(s):  
Convergence Rate ◽  
Antenna Array ◽  
Fourier Transforms ◽  
Synthesis Method ◽  
Original Method ◽  
Scaling Factor ◽  
Final Solution ◽  
Pattern Synthesis ◽  
Array Pattern ◽  
Planar Arrays

An improved antenna array pattern synthesis method using fast Fourier transform is proposed, which can be effectively applied to the synthesis of large planar arrays with periodic structure. Theoretical and simulative analyses show that the original FFT method has a low convergence rate and the converged solution can hardly fully meet the requirements of the desired pattern. A scaling factor is introduced to the original method. By choosing a proper value for the scaling factor, the convergence rate can be greatly improved and the final solution is able to fully meet the expectations. Simulation results are given to demonstrate the effectiveness of the proposed algorithm.

Pattern Synthesis Method for Arbitrary Arrays

2011 ◽  
Vol 30 (3) ◽  
pp. 738-741
Author(s):  
Xia Zhang ◽  
Hai-hong Tao ◽  
Gui-sheng Lian
Keyword(s):  
Synthesis Method ◽  
Pattern Synthesis
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