IEICE Electronics Express
Online ISSN : 1349-2543
ISSN-L : 1349-2543
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Zero space orthogonal projection method for array pattern synthesis
Jie ChenYingzeng Yin
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JOURNAL FREE ACCESS

2025 Volume 22 Issue 4 Pages 20240681

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Abstract

A new zero space orthogonal projection (ZSOP) method is presented to synthesize the antenna array pattern. The expected pattern vector is divided into two parts, the main lobe vector and the side lobe vector. In order to maximize the side lobe attenuation, the optimal solution of the antenna element excitation vector should be placed in the zero space of the side lobe steering matrix. Therefore, the optimal solution of the antenna element excitation vector must be in the orthogonal projection space of the conjugate transpose matrix of the side lobe steering matrix. Thus, the pattern synthesis equation can be transformed into a new form. The solution of the new equation can ensure that the optimal solution of the antenna element excitation vector can form a pattern with an extremely low null beam level. Examples are used to demonstrate the advantages of the new method. Simulation results show that the new method can form patterns with excellent null beam levels that far exceed the performance of other methods. The new method can work with non-iterative calculation steps. It requires only slightly more computation amount than the traditional least square method to complete the pattern synthesis task.

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© 2025 by The Institute of Electronics, Information and Communication Engineers
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