| Summary: | The purpose of this work is to provide the estimation of the potential abilities of analytic broadband matching methods for complicated load terminations. The article covers the problem of synthesis of mylti-band frequency response matching circuits. Results presented in the article are of prime interest for communications systems from one point and the lack of advanced analytic methods from another. The problem of multiband impedance matching is under consideration. Presented is the method of synthesis of multiband matching circuits for arbitrary complex loads, based on the generalized Darlington approach to the lumped circuits design. Frequency response for the synthesis is obtained as a result of double-band reactance transformation in the process of reflection coefficient factorization. The factorization results in the analytic representation of the reflection coefficient function on the complex surface. This method allows to identify functional limitations on broadband matching and for the first time to obtain analytical solutions for the loads of practical value. Application of the method is demonstrated in the detailed procedure of realization of double-band Batterworth frequency response for the resonance load (RLC-load). It would be pertinent to stress, that presented results concerning the double-band synthesis of resonance load have no coverage in technical literature. The method also features the analytic description of the design parameters as functions of load termination parameters which provides a road-map to conceptual design of multiband matching circuits.
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