Phase Correction of Asymmetrical Chebyshev Polynomials for Extracted-Pole Fully Canonical Filters

Angel Triano, Patricia Silveira, Jordi Verdu, Pedro De Paco

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)


When the characteristic rational functions of a filtering response have been synthesized under a symmetry condition, one asymmetrical distribution of transmissions zero along an in-line fully-canonical topology will cause the occurrence of one uneven admittance inverter in the main-line. This introduces some limitations to transform into a ladder network. Despite circuital transformation can be used to accommodate technology and topology, it is usual that extra reactive elements are necessary to implement phase shifts required for reaching a full synthesis. This work introduces a method capable to identifying a phase correction to equalize all the admittance inverters in the main path to the same value. It has been demonstrated that a suitable pair of phase values can be accurately estimated using the developed hyperbolic model and whose main parameters can be obtained from the transmission and reflection scattering parameters.

Original languageAmerican English
Pages (from-to)838-841
Number of pages4
JournalIEEE MTT-S International Microwave Symposium Digest
Publication statusPublished - Jun 2019


  • Asymmetrical Polynomials Synthesis
  • Ladder network
  • phase shift


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