In this article, a design and synthesis method to realize filtering phase shifter with tunable insertion phase and passband center frequency is proposed. The filtering phase shifter is based on a circuit consisting of three resonators in a triplet topology. Coupling matrix analysis is employed to obtain the detailed relationship between the insertion phase and the amplitude response of the filter. Then, differential evolution (DE) algorithm-based optimization method is proposed to obtain the coupling matrix with an arbitrary prespecified insertion phase. The proposed optimization method can not only obtain the coupling matrix with desired insertion phase but also can align the phase slope of different phase states, resulting in a low-phase error over the filter passband. Furthermore, a method is proposed to extend the phase shift range to full 360° by switching the signs of specific terms in the coupling matrix, significantly simplifying the required optimization procedure. Finally, a filtering phase shifter using lumped elements is designed, fabricated, and measured to validate the design concept. The phase-shifting range of the circuit can achieve 360° with continuously reconfigurable center frequency covering from 650 to 860 MHz.

中文翻译：

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利用耦合矩阵优化的可重构滤波移相器的设计与合成

本文提出了一种实现插入相位和通带中心频率可调的滤波移相器的设计与合成方法。滤波移相器基于由三重拓扑中的三个谐振器组成的电路。耦合矩阵分析用于获得插入相位和滤波器幅度响应之间的详细关系。然后，提出了基于差分进化（DE）算法的优化方法，以获得具有任意预定插入相位的耦合矩阵。所提出的优化方法不仅可以获得具有所需插入相位的耦合矩阵，而且可以对齐不同相位状态的相位斜率，从而在滤波器通带内实现低相位误差。此外，提出了一种通过切换耦合矩阵中特定项的符号将相移范围扩展到完整 360° 的方法，显着简化了所需的优化过程。最后，设计、制造和测量了使用集总元件的滤波移相器，以验证设计理念。电路的移相范围可以达到 360°，中心频率可连续重构，覆盖 650 至 860 MHz。