The general design equations are derived for arbitrary odd-way Bagley polygon power divider (BPPD) with filtering response and notch band. Firstly, conditions are derived to achieve a perfect input port impedance matching at centre frequency. Then, the formulas of introduced transmission zeros (TZs) are obtained for high-frequency selectivity, wide upper stopband and notch band. Based on the deduced equations, wideband BPPD (WBPPD), filtering BPPD (FBPPD) and FBPPD integrating notch band (FBPPD-N) with arbitrary odd-way power splitting are designed. Finally, a FBPPD-N with a wide passband bandwidth is fabricated and measured to verify the presented ideal. The experimental results indicate that the proposed FBPPD-N has compact size, high-frequency selectivity, wide upper stopband and required notch band. Consequently, the presented general design equations can provide effective guidance for the design of arbitrary odd-way power splitting FBPPD-N.

为具有滤波响应和陷波带的任意奇数路 Bagley 多边形功率分配器 (BPPD) 推导出一般设计方程。首先，导出了在中心频率处实现完美输入端口阻抗匹配的条件。然后，得到了高频选择性、宽上阻带和陷波带的引入传输零点（TZ）的公式。基于推导出的方程，设计了宽带BPPD（WBPPD）、滤波BPPD（FBPPD）和具有任意奇路功率分裂的FBPPD积分陷波带（FBPPD-N）。最后，制造并测量了具有宽通带带宽的 FBPPD-N，以验证所提出的理想情况。实验结果表明，所提出的 FBPPD-N 具有紧凑的尺寸、高频选择性、宽的上阻带和所需的陷波带。最后，