Coupling Matrix Extraction From Lossy Filter Measurements

This paper presents a novel method for accurately extracting the coupling matrix and unloaded Q of the lossy microwave filters from measured scattering parameters. The proposed method is an accurate and straightforward technique to extract the coupling matrix of the filter in any desired topology, which has a great demand for the design and tuning of filters. This approach uses the Simulated Annealing (SA) algorithm to fit the extracted and measured scattering parameters of the filter. Finally, this method is applied to two different filters, the first with four degrees and the second with five orders filter with two symmetric transmission zeros, which verifies the proposed method’s accuracy.