coupling_Matrix

General Coupling Matrix Synthesis Methods for Chebyshev Filtering Functions

ieeexplore.ieee.org/iel4/22/16303/00754877.pdf
Abstract—
Methods are presented for the generation of the transfer polynomials, and then the direct synthesis of the cor-responding canonical network coupling matrices for Chebyshev(i.e., prescribed-equiripple) filtering functions of the most general kind. A simple recursion technique is described for the generation of the polynomials for even- or odd-degree Chebyshev filtering functions with symmetrically or asymmetrically prescribed transmission zeros and/or group delay equalization zero pairs.The method for the synthesis of the coupling matrix for the cor-responding single- or double-terminated network is then given.Finally, a novel direct technique, not involving optimization, for reconfiguring the matrix into a practical form suitable for realization with microwave resonator technology is introduced. These universal methods will be useful for the design of efficient high-performance microwave filters in a wide variety of technologies for application in space and terrestrial communication systems.