论文标题
基于Slepian功能的新阵列合成器
A New Array Synthesizer Based on Slepian Functions
论文作者
论文摘要
这项研究介绍了基于SLEPIAN函数的新的多Antenna阵列合成器。合成器在空间区域（即角扇区）内浓缩了波束形成（BF）增益，从而优化了目标区域的香农容量，这适用于基于代码的模拟BF。从结合BF效果的平均容量公式开始，使用Jensen不等式设置平均容量的上限和下限。然后，通过将两个边界组合到超过两个边界的平均容量的新近似中，引入了一种新颖的方法。最后，将近似值配制为可解决的SLEPIAN优化问题，该问题产生了合成器的权重。列出了合成器的属性，包括讨论通过更改目标区域宽度的行为的讨论。得出了转向方法，并提出了仿真结果。
This study introduces a new multi-antenna array synthesizer based on Slepian functions. The synthesizer concentrates beamforming (BF) gain within a spatial region (i.e., an angular sector), optimizing Shannon capacity of the targeted region, which is suitable for codebook-based analog BF. Starting with the mean capacity formula incorporating the effect of BF, Jensen inequality was used to set upper and lower bounds of the mean capacity. Then, a novel method was introduced by combining the two bounds into a new approximation of the mean capacity that outperform both bounds. Finally, the approximation was formulated to a solvable Slepian optimization problem that yielded the weights of the synthesizer. The properties of the synthesizer were listed, including a discussion on how it behaves by changing the width of the targeted region. The steering method was derived, and simulation results were presented.
