Title :
Rapid coupling matrix reduction for longitudinal and cascaded-quadruplet microwave filters
Author :
Gajaweera, Ruwan N. ; Lind, Larry F.
Author_Institution :
Dept. of Electron. Syst. Eng., Univ. of Essex, UK
fDate :
5/1/2003 12:00:00 AM
Abstract :
To realize standard microwave filter structures, it is necessary to zero some of the elements in a general even-mode coupling matrix. The zeroing process involves solving a nonlinear set of equations, performed here by using the Newton-Raphson method. Thus, intelligence is added to the numerical iteration procedure, to ensure rapid convergence. The reproduced transmission coefficient S21 from the reduced matrix agrees well with the one synthesized.
Keywords :
Newton-Raphson method; cascade networks; convergence of numerical methods; linear network synthesis; microwave filters; passive filters; poles and zeros; resonator filters; transfer function matrices; Newton-Raphson method; cascaded-quadruplet topology; even-mode coupling matrix; filter synthesis; longitudinal topology; matrix annihilation; numerical iteration procedure; rapid convergence; rapid coupling matrix reduction; standard microwave filter structures; transfer function synthesis procedure; transmission coefficient; zeroing process; Band pass filters; Circuit topology; Couplings; Filtering theory; Microwave filters; Network synthesis; Network topology; Nonlinear equations; Resonator filters; Symmetric matrices;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2003.810141
