Antenna Array Pattern Synthesis via Coordinate Descent Method  

Antenna Array Pattern Synthesis via Coordinate Descent Method

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作  者:Yuanhao Wang Xiaoxi He Jiangning Wang Sergey Berezin Wolfgang Mathis 

机构地区:[1]Institut für Theoretische Elektrotechnik, Gottfried Wilhelm Leibniz Universitat Hannover, Hannover, Germany [2]Applied Mathematics Department, Saint-Petersburg State Polytechnical University, St. Petersburg, Russia

出  处:《Journal of Electromagnetic Analysis and Applications》2015年第5期168-177,共10页电磁分析与应用期刊(英文)

摘  要:This paper presents an array pattern synthesis algorithm for arbitrary arrays based on coordinate descent method (CDM). With this algorithm, the complex element weights are found to minimize a weighted L2 norm of the difference between desired and achieved pattern. Compared with traditional optimization techniques, CDM is easy to implement and efficient to reach the optimum solutions. Main advantage is the flexibility. CDM is suitable for linear and planar array with arbitrary array elements on arbitrary positions. With this method, we can configure arbitrary beam pattern, which gives it the ability to solve variety of beam forming problem, e.g. focused beam, shaped beam, nulls at arbitrary direction and with arbitrary beam width. CDM is applicable for phase-only and amplitude-only arrays as well, and furthermore, it is a suitable method to treat the problem of array with element failures.This paper presents an array pattern synthesis algorithm for arbitrary arrays based on coordinate descent method (CDM). With this algorithm, the complex element weights are found to minimize a weighted L2 norm of the difference between desired and achieved pattern. Compared with traditional optimization techniques, CDM is easy to implement and efficient to reach the optimum solutions. Main advantage is the flexibility. CDM is suitable for linear and planar array with arbitrary array elements on arbitrary positions. With this method, we can configure arbitrary beam pattern, which gives it the ability to solve variety of beam forming problem, e.g. focused beam, shaped beam, nulls at arbitrary direction and with arbitrary beam width. CDM is applicable for phase-only and amplitude-only arrays as well, and furthermore, it is a suitable method to treat the problem of array with element failures.

关 键 词:ANTENNA Phased ARRAY Optimization PATTERN Synthesis COORDINATE DESCENT Method 

分 类 号:O1[理学—数学]

 

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