Coupling Matrix Synthesis of Multiport Circuits with Coupled Resonators

This three-year proposal aims at development of “Coupling matrix synthesis of multi-port circuits with coupled resonators.” The multi-port networks can be multi-resonator power dividers, bandpass filters, diplexers, triplexers, and filtering couplers. The synthesis of some of these circuits can be analytically done, but it is limited to only when number of resonators is low or the prescribed passband functions are relatively simple. In most cases, however, the number of the coupled resonators is large and the required calculation for the coupling matrix solution will need either matrix size reduction or optimization. Also included in this proposal is the diagnosis and parameter extraction of the coupling matrix of the multi-resonator circuit. Even the coupling coefficients between all resonator pairs are accurately implemented, the full S-parameter matrix of the entire circuit may not fit the specifications completely. Such research works are still quite challenging, since the number of ports is usually many less than the number of resonators. Fortunately, so far, most published literature on diagnosis, tuning, and parameter extraction are limited to coupled-resonator filters only. From publication point of view of this proposal, the future developments look more optimistic.

Project ID:PB10401-1784
External Project ID:MOST103-2221-E182-006-MY3