Investigation of the Sum-Difference Beampatterns Using the Quadratic U Distribution

K. Buchanan, Sara Wheeland
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Abstract

This work examines the quadratic U distribution, a unique convex quadratic function for the application of distributed antenna arrays. The analysis applies a fitting phase coefficient for the elements, such that the radiated signal power of each element is coherently added in the far-field region of a specified target direction with net destructive interference occurring in all other regions to suppress sidelobe behavior. The analysis also applies characteristic modal solutions in which element radiators are used independently to deliver both sum and difference beams. Sum-difference radiation patterns are generated and analyzed for suitability in applications such as amplitude monopulse scanning, the direction of arrival estimation, and target tracking. We observe that the inherent randomness of the antenna array distribution alleviates typical half-wavelength spacing requirements for grating-lobe-free scanning. Tapering of the pattern is accomplished by confining the distribution to a quadratic U or convex probability topology.
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二次U型分布下和差波束方向图的研究
这项工作考察了二次U分布,一个独特的凸二次函数,用于分布式天线阵列的应用。该分析对各单元采用拟合相位系数,使各单元的辐射信号功率在指定目标方向的远场区域内相干叠加,其他区域均发生净相消干扰,抑制副瓣行为。该分析还适用于独立使用单元散热器来传递和梁和差梁的特征模态解。生成和差辐射图并分析其在振幅单脉冲扫描、到达方向估计和目标跟踪等应用中的适用性。我们观察到天线阵列分布的固有随机性减轻了无光栅瓣扫描的典型半波长间距要求。通过将分布限制为二次U或凸概率拓扑来完成模式的逐渐变细。
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