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

Volume

51

Issue

5

fYear

2003

fDate

5/1/2003 12:00:00 AM

Firstpage

1578

Lastpage

1583

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;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2003.810141

Filename

1196190