Criterion of Upper Limit Selection in Weighting Vector Norm Restriction for Optimizing Beampattern of Arbitrary Geometry Arrays
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摘要: 研究了基于2阶锥方法对任意结构基阵波束优化时权向量范数约束上限的选取问题。首先从理论上分析了2阶锥规划方法中范数约束对优化波束稳健性的影响，导出了阵列误差、权向量误差和权向量范数等因素与波束旁瓣畸变量之间的关系，提出了一种权向量范数约束上限的选取方法，该方法可以根据实际问题对稳健性的要求，选取适当的权向量范数约束上限，得到符合要求的优化波束。仿真试验验证了该方法的有效性。Abstract: The selection criterion for the upper limit of weighting vector norm is studied while using second-order programming to optimize beampattern for arbitrary sensor arrays.Based on the sensitivity analysis of beampattern, the close form formula for sidelobe distortion of beampattern is deduced as a function of array error, weighting vector error and weighting vector norm. Using this sidelobe distortion formula, a criterion is proposed to select the upper limit of weighting vector norm restriction with required robustness. The effectiveness of the proposed criterion is verified via computer simulation.
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Key words:
- arbitrary geometry array /
- beampattern optimization /
- weighting vector norm /
- robustness
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