J4 ›› 2010, Vol. 37 ›› Issue (1): 91-95.doi: 10.3969/j.issn.1001-2400.2010.01.016

• Original Articles • Previous Articles     Next Articles

Design method for the triplexer based on polynomial synthesis

LI Gang;LEI Ji-zhao;LIANG Chang-hong   

  1. (Key Lab. of Antennas and Microwave Technology, Xidian Univ., Xi'an  710071, China)
  • Received:2008-10-12 Online:2010-02-20 Published:2010-03-29
  • Contact: LI Gang E-mail:ligang@mail.xidian.edu.cn

Abstract:

This paper presents a new design technique for the triplexer based on characteristic polynomial synthesis. According to the specifications of each filter, characteristic polynomials of each filter are computed. The characteristic polynomials of the triplexer is then deduced and computed. These polynomials include information on the mutual effects between filters. Roots of the reflective characteristic polynomial are rearranged to maintain the equal ripple characteristic of the triplexer. By making use of these roots, it is easy to get the characteristic polynomials of filters. Finally, the classic synthesis method is used to get the coupling coefficients and the external Q value of each filter. To validate the theory, results computed are modeled into MWO software. Simulation results agree well with the specifications.

Key words: filter, triplexer, characteristic polynomial