Pattern Synthesis with Auxiliary Phase Optimization Based on Alternating Projection

WAN Chuan; HAN Yu-bing; SHENG Wei-xing; MA Xiao-feng; ZHANG Ren-li

doi:10.3969/j.issn.0372-2112.2017.11.005

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Pattern Synthesis with Auxiliary Phase Optimization Based on Alternating Projection

更新时间：2025-07-16

- Pattern Synthesis with Auxiliary Phase Optimization Based on Alternating Projection
- Acta Electronica Sinica Vol. 45, Issue 11, Pages: 2602-2610(2017)
- 作者机构：
  
  南京理工大学电子工程与光电技术学院,江苏,南京,210094
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.11273017, No.61471196);Academic Postgraduate Students Research Innovation Program of Colleges and Universities in Jiangsu Province (No.KYLX16-0448)
- DOI：10.3969/j.issn.0372-2112.2017.11.005
  CLC： TN821.8
- Published Online：25 November 2017，
  
  Published：2017
- 稿件说明：
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WAN Chuan, HAN Yu-bing, SHENG Wei-xing, et al. Pattern Synthesis with Auxiliary Phase Optimization Based on Alternating Projection[J]. Acta Electronica Sinica, 2017, 45(11): 2602-2610.
DOI：

WAN Chuan, HAN Yu-bing, SHENG Wei-xing, et al. Pattern Synthesis with Auxiliary Phase Optimization Based on Alternating Projection[J]. Acta Electronica Sinica, 2017, 45(11): 2602-2610. DOI： 10.3969/j.issn.0372-2112.2017.11.005.

摘要

本文提出一种新的方向图快速综合算法.该方法基于交替投影算法（AP），首先对目标方向图幅度进行限制，其次引入了目标方向图相位变量并对其进行优化，得到最佳目标方向图相位，最后结合临近分裂方法来求解有约束的最小二乘问题（CLMS）以获得满足要求的激励.相比于其他AP类算法只对方向图幅度进行限制的处理，本文对方向图相位的优化处理有助于提高算法的收敛速度和性能.实验结果表明，无论有无激励约束的情况下，该算法均能取得良好的优化效果，且适用于任意阵列，具有很好的推广能力.

Abstract

A new method of fast pattern synthesis is presented in this paper.Under the framework of alternating projection (AP)

the amplitudes of desired pattern is firstly constrained.Then the method adopts an auxiliary phase function to obtain the optimized phases of desired pattern.Finally

the required excitations can be obtained from a constrained least mean squares (CLMS)

which is solved by the proximal splitting method.Compared with other methods based on AP

the optimization of pattern phase is helpful to improve the convergence speed and performance of the algorithm.The synthesized results show its high performance in the pattern synthesis with or without excitation constraints.The proposed method is suitable for the arbitrary arrays and has good generalization capability.

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