研究目的
To propose a new decomposition technique for the passive realization of complex coupling matrices in lossy filters and negative group delay devices, ensuring passivity everywhere and achieving uniform quality factor distribution.
研究成果
The proposed decomposition technique successfully enables the all-passive realization of complex coupling matrices for lossy filters, ensuring passivity and uniform quality factor distribution. Experimental validation shows good agreement with synthesized results, demonstrating the method's effectiveness and potential for applications in satellite communication systems.
研究不足
The technique may involve slight deviations in measured responses due to tolerances from lumped resistors and fabrication processes. It is primarily demonstrated for microwave filters and may have constraints in other frequency ranges or applications.
1：Experimental Design and Method Selection:
The methodology involves decomposing the complex coupling matrix into a resistive connection matrix and a conventional real coupling matrix using a resistive decomposition technique. This includes theoretical models for coupling matrices and admittance matrices, and procedures for loss equalization.
2：Sample Selection and Data Sources:
Examples include 4th-order Chebyshev filters, 4th-order quasi-elliptic filters, and 3rd-order filters with asymmetrical responses, synthesized from characteristic polynomials.
3：List of Experimental Equipment and Materials:
Roger RT Duroid-6010 substrate (εr=10.2, thickness=1.27 mm, tanD=0.0023), lumped resistors, transmission line resonators, coupled-line structures, shorted shunt stubs, Vector Network Analyzer (VNA), and Advanced Design System (ADS) software for simulations.
4：2, thickness=27 mm, tanD=0023), lumped resistors, transmission line resonators, coupled-line structures, shorted shunt stubs, Vector Network Analyzer (VNA), and Advanced Design System (ADS) software for simulations.
Experimental Procedures and Operational Workflow:
4. Experimental Procedures and Operational Workflow: Steps include synthesizing lossy polynomials, applying hyperbolic rotations for loss equalization, decomposing the coupling matrix, implementing physical structures for the conventional matrix, connecting resistors based on the resistive connection matrix, performing full-wave EM simulations and optimization, fabricating the prototype, and measuring scattering parameters with a VNA.
5：Data Analysis Methods:
Data analysis involves comparing measured transmission and reflection responses with synthesized ones from the coupling matrix, using optimization in ADS for fine-tuning parameters.
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