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PIER PIER B PIER C PIER M PIER Letters
2011-04-05
Extracting Coupling Matrix and Unloaded q from Scattering Parameters of Lossy Filters
By
Rui Wang,

    Dr. Rui Wang

    University of Electronic Science and Technology of China

    China

    Homepage

Jun Xu

    Dr. Jun Xu

    School of Physical Electronics

    University of Electronic Science and Technology of China

    China

    Homepage

Progress In Electromagnetics Research, Vol. 115, 303-315, 2011
doi:10.2528/PIER11021604
Abstract
This paper presents a method for extracting the coupling matrix and the unloaded Q from the measured (or electromagnetic simulated) S-parameters of a narrow band cross-coupled resonator bandpass filter with losses. The Cauchy method is applied to determine the characteristic polynomials of the S-parameters of a filter in the normalized low-pass frequency domain. A five-parameter optimization method is proposed to obtain the unloaded Q and remove the phase shift of the measured S-parameters, which is caused by the phase loading and the transmission lines at the input/output ports of a filter. Once the characteristic polynomials of the S-parameters with the phase shift removed have been determined, the coupling matrix of a filter with a given topology can be extracted using well established techniques. Two application examples are given to illustrate the validity of the proposed method.
Citation
Rui Wang, and Jun Xu, "Extracting Coupling Matrix and Unloaded q from Scattering Parameters of Lossy Filters," Progress In Electromagnetics Research, Vol. 115, 303-315, 2011.
doi:10.2528/PIER11021604
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