Synthesis of Star-Junction Multiplexers

This paper presents a method for synthesizing coupled resonator multiplexers with a star-junction (an extra resonant junction in addition to the channel filters). A linear frequency transformation is proposed for the evaluation of the characteristic polynomials of the each channel filter composed of star-junction multiplexers, and then coupling matrix of overall multiplexers can be obtained by using the proposed linear frequency transformation and well-established method. The evaluation of group delay in the physical frequency f domain and S-parameters based on coupling matrix are derived. To illustrate the validation of the method, two examples, including 25-poles multiplexers and 7-poles diplexer, have been synthesized, and the 7-poles diplexer has been further designed, manufactured and measured. The measured resuts are in good agreement with the synthetic results, which further verify the accuracy of the proposed method.