In this paper, a general method for synthesizing dispersive coupling matrix (DCM) of coupled-resonator bandpass filters with the general dispersion is proposed. Compared to the dispersion-less coupling matrix synthesized by classic approaches, the DCM incorporates the identity of the physical realization and provides an accurate description of the filter. Moreover, the DCM can accurately describe the complex resonators and coupling elements with intentional strong dispersion. A DCM consists of two parts: the frequency-invariant part that corresponds to the coupling matrix at the center frequency and the frequency-variant part that reflects the dispersion of the physical realization. By iteratively adjusting the transmission zeros governed by the given filter topology and ignoring the transmission zeros brought by the dispersion, the synthesis method can directly obtain the frequency-invariant part so that the overall DCM leads to an equal-ripple response. To illustrate the general synthesis method, two design examples are presented, which include a filter with unintentional weak dispersion and a filter with intentional strong dispersion. The examples are validated by EM simulation, demonstrating the effectiveness, accuracy, and generality of the proposed synthesis framework. Key words: dispersive coupling matrix, filter synthesis, microwave bandpass filter

本文提出了一种合成具有一般色散的耦合谐振带通滤波器色散耦合矩阵（DCM）的通用方法。与经典方法合成的无色散耦合矩阵相比，DCM 结合了物理实现的同一性，并提供了对滤波器的准确描述。此外，DCM 可以准确地描述具有强色散的复杂谐振器和耦合元件。DCM由两部分组成：对应于中心频率耦合矩阵的频率不变部分和反映物理实现色散的频率变化部分。通过迭代调整由给定滤波器拓扑控制的传输零点并忽略色散带来的传输零点，该合成方法可以直接获得频率不变部分，从而使整体DCM产生等纹波响应。为了说明一般合成方法，给出了两个设计示例，其中包括具有无意弱色散的滤波器和具有有意强色散的滤波器。这些示例通过 EM 仿真进行了验证，证明了所提出的综合框架的有效性、准确性和通用性。关键词: 色散耦合矩阵, 滤波器合成, 微波带通滤波器 这些示例通过 EM 仿真进行了验证，证明了所提出的综合框架的有效性、准确性和通用性。关键词: 色散耦合矩阵, 滤波器合成, 微波带通滤波器 这些示例通过 EM 仿真进行了验证，证明了所提出的综合框架的有效性、准确性和通用性。关键词: 色散耦合矩阵, 滤波器合成, 微波带通滤波器