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General method for synthesizing dispersive coupling matrix of microwave bandpass filters

Published online by Cambridge University Press:  06 May 2021

Yan Zhang Open the ORCID record for Yan Zhang [Opens in a new window]  and
Ke-Li Wu
Yan Zhang*
Affiliation:
Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong
Ke-Li Wu
Affiliation:
Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong
*
Author for correspondence: Yan Zhang, E-mail: yzhang@link.cuhk.edu.hk
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Abstract

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

Keywords

Dispersive coupling matrixfilter synthesismicrowave bandpass filter
Type
Research Paper
Information
International Journal of Microwave and Wireless Technologies , Volume 14 , Special Issue 3: Filters and Multiplexers for Satellite Communications Systems , April 2022 , pp. 379 - 386
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press in association with the European Microwave Association

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