In this article, a new class of wideband phase shifters with very compact size, large phase shift value, low insertion loss (IL), and low cost are presented and developed. The proposed phase shifter consists of $N$ series and shunt resonators, which can achieve the magnitude and phase shift bandwidth of more than 120% thanks to $N$ transmission poles. Besides the wideband property, the proposed phase shifter is able to achieve a small size of nearly 1/10 guided wavelength ( $\lambda _{g}$ ), which has a size reduction of more than 90% as compared with conventional wideband phase shifters on printed circuit board (PCB). Meanwhile, insertion phases for the both series and shunt resonators are zero at their resonant frequencies; thus, the length of reference line can be also greatly reduced. What is more, a detailed synthesis method with closed-form equations is presented and employed to determine all circuit parameters of the proposed phase shifter with the specified in-band return loss (RL), phase shift value $\Delta \Phi $ , and resonator number $N$ . To validate the design concept, three design examples of 90° and 180° phase shifters on $N = 3$ and $N = 5$ are synthesized and tested. Theoretical, simulated, and measured results are in a fairly close agreement. In particular, the proposed phase shifters feature very low IL. The measured maximum in-band IL is only 0.38 dB for $N = 3$ ( $\Delta \Phi = 90^{\circ }$ ) and 0.50 dB for $N = 5$ ( $\Delta \Phi = 180^{\circ }$ ).

中文翻译：

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多串联和并联谐振器上具有小型化尺寸的宽带移相器：提案和综合设计

在本文中，介绍和开发了一类具有非常紧凑的尺寸、大相移值、低插入损耗 (IL) 和低成本的新型宽带移相器。建议的移相器包括 $N$ 串联和并联谐振器，可实现超过 120% 的幅度和相移带宽 $N$ 传输杆。除了宽带特性外，所提出的移相器能够实现接近 1/10 导波波长的小尺寸（ $\lambda _{g}$ )，与印刷电路板 (PCB) 上的传统宽带移相器相比，其尺寸减小了 90% 以上。同时，串联和并联谐振器的插入相位在其谐振频率处均为零；因此，参考线的长度也可以大大减少。更重要的是，提出了一种具有封闭式方程的详细合成方法，并用于确定具有指定带内回波损耗 (RL)、相移值的所提出移相器的所有电路参数 $\Delta \Phi $ , 和谐振器编号 $N$ . 为了验证设计理念，三个 90° 和 180° 移相器的设计示例在 $N = 3$ 和 $N = 5$ 被合成和测试。理论、模拟和测量结果非常一致。特别是，所提出的移相器具有非常低的 IL。测得的最大带内 IL 仅为 0.38 dB $N = 3$ ( $\Delta \Phi = 90^{\circ }$ ) 和 0.50 dB $N = 5$ ( $\Delta \Phi = 180^{\circ }$ ）。