A New Coupling Matrix Extracting Method From the Frequency Response

Author

Li, Fei ; Zhang, Xueqiang ; Li, Chunguang ; Zhang, Qiang ; Sun, Liang ; Li, Hong ; He, Aisheng ; He, Yusheng

Author_Institution

Nat. Lab. for Supercond., Chinese Acad. of Sci., Beijing

Volume

55

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

760

Lastpage

767

Abstract

Coupled resonators are widely used in many applications, especially for filters. It is necessary to know the coupling matrix of those resonators in order to further modify and/or optimize the existing design. In recent years, many efforts have been made to generate a coupling matrix. In this paper, a new method is proposed, which can be applied for both the synchronous and asynchronous coupled resonators. With this method, the eigenvalues and eigenvectors of the coupling matrix can be generated directly from the simulated frequency responses, and the coupling matrix can then be determined. Typical examples are illustrated for the cases such as a quadruplet with an image, real, or complex transmission zeros. The impact of loss is also discussed. As a matter of fact, this method has been successfully used in the design of high-temperature superconducting filters

Keywords

eigenvalues and eigenfunctions; matrix algebra; resonator filters; complex transmission zeros; computer-aided analysis; coupled resonators; coupling matrix extracting method; eigenvalues; eigenvectors; frequency response; high-temperature superconducting filters; resonator filters; Band pass filters; Computer simulation; Couplings; Filtering theory; Frequency response; Helium; Physics; Poles and zeros; Resonator filters; Superconducting filters; Complex transmission zeros; computer-aided analysis; coupling matrix; poles and zeros; resonator filters;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2007.892815

Filename

4148109