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SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES

Year 2010, Volume: 10 Issue: 2, 1219 - 1228, 20.01.2012

Abstract

An algorithm has been proposed, to synthesize low-pass, high-pass, band-pass and band-stop lossless ladder networks with simple lumped elements connected via commensurate transmission lines (Unit elements, UEs). First, the type of the element that will be extracted is determined from the given mixed-element network function. After obtaining element value, it is extracted, and the two-variable reflection function of the remaining mixed-element network is obtained. This process is repeated until extracting all the elements. For each network type, an example is included, to illustrate the implementation of the related algorithm.
Keywords: Synthesis, Mixed lumped and distributed elements, Ladder networks, Scattering matrix.

References

  • B.K. Kinariwala, “Theory of cascaded structures: lossless transmission lines”, Bell Syst Tech. J., vol.45, pp.631-649, 1966.
  • L.A. Riederer, L. Weinberg, “Synthesis of lumpeddistributed networks: lossless cascades”, IEEE Trans CAS, vol.27, pp.943-956, 1980.
  • P.I. Richards, “Resistor transmission line circuits”, Proc IR, vol.36, pp.217-220, 1948.
  • H. Ozaki, T. Kasami, “Positive real functions of several variables and their applications to variable networks”, IEEE Trans Circuit Theory, vol.7, pp.251-260, 1960.
  • B.S. Yarman, A. Aksen, “An integrated design tool to construct lossless matching networks with mixed lumped and distributed elements”, IEEE Trans CAS, vol.39, pp.713-723, 1992.
  • A. Aksen, “Design of lossless two-port with mixed, lumped and distributed elements for broadband matching”, PhD Thesis, Ruhr University, 1994.
  • A. Aksen, B.S. Yarman, “A real frequency approach to describe lossless two-ports formed with mixed lumped and distributed elements”, Int J Elec Comm (AEU), vol.55(6), pp.389-396, 2001.
  • A. Sertbaş, B.S. Yarman, “A computer aided design technique for lossless matching networks with mixed lumped and distributed elements”, Int J Elec Comm (AEÜ), vol.58, pp.424-428, 2004.
  • M. Şengül, “Construction of lossless ladder networks with simple lumped elements connected via commensurate transmission lines”, IEEE Trans. CASII:Express Briefs, vol.56(1), pp.1-5, 2009.
  • A. Sertbaş, “Genelleştirilmiş iki-kapılı, iki-değişkenli kayıpsız merdiven devrelerin tanımlanması” (in Turkish), PhD Thesis, Istanbul University, 1997.
  • M. Şengül, “Synthesis of cascaded commensurate transmission lines”, IEEE Trans CAS-II:Express Briefs, vol.55(1), pp.89–91, 2008.
  • M. Şengül, “Explicit synthesis formulae for cascaded lossless commensurate lines”, Frequenz, vol.62(1-2), pp.16-17, 2008.
  • M. Şengül, B.S. Yarman, “Design of broadband microwave amplifiers with mixed-elements via reflectance data modelling”, Int J Elec Comm (AEU), vol.62(2), pp.132-137, 2008.
  • M. Şengül, “Modeling based real frequency technique”, Int J Elec Comm (AEU), vol.62(2), pp.77-80, 2008.
  • M. Şengül, “Design of broadband single matching networks”, Int J Elec Comm (AEU), vol.63(3), pp.153157, 2009.
Year 2010, Volume: 10 Issue: 2, 1219 - 1228, 20.01.2012

Abstract

References

  • B.K. Kinariwala, “Theory of cascaded structures: lossless transmission lines”, Bell Syst Tech. J., vol.45, pp.631-649, 1966.
  • L.A. Riederer, L. Weinberg, “Synthesis of lumpeddistributed networks: lossless cascades”, IEEE Trans CAS, vol.27, pp.943-956, 1980.
  • P.I. Richards, “Resistor transmission line circuits”, Proc IR, vol.36, pp.217-220, 1948.
  • H. Ozaki, T. Kasami, “Positive real functions of several variables and their applications to variable networks”, IEEE Trans Circuit Theory, vol.7, pp.251-260, 1960.
  • B.S. Yarman, A. Aksen, “An integrated design tool to construct lossless matching networks with mixed lumped and distributed elements”, IEEE Trans CAS, vol.39, pp.713-723, 1992.
  • A. Aksen, “Design of lossless two-port with mixed, lumped and distributed elements for broadband matching”, PhD Thesis, Ruhr University, 1994.
  • A. Aksen, B.S. Yarman, “A real frequency approach to describe lossless two-ports formed with mixed lumped and distributed elements”, Int J Elec Comm (AEU), vol.55(6), pp.389-396, 2001.
  • A. Sertbaş, B.S. Yarman, “A computer aided design technique for lossless matching networks with mixed lumped and distributed elements”, Int J Elec Comm (AEÜ), vol.58, pp.424-428, 2004.
  • M. Şengül, “Construction of lossless ladder networks with simple lumped elements connected via commensurate transmission lines”, IEEE Trans. CASII:Express Briefs, vol.56(1), pp.1-5, 2009.
  • A. Sertbaş, “Genelleştirilmiş iki-kapılı, iki-değişkenli kayıpsız merdiven devrelerin tanımlanması” (in Turkish), PhD Thesis, Istanbul University, 1997.
  • M. Şengül, “Synthesis of cascaded commensurate transmission lines”, IEEE Trans CAS-II:Express Briefs, vol.55(1), pp.89–91, 2008.
  • M. Şengül, “Explicit synthesis formulae for cascaded lossless commensurate lines”, Frequenz, vol.62(1-2), pp.16-17, 2008.
  • M. Şengül, B.S. Yarman, “Design of broadband microwave amplifiers with mixed-elements via reflectance data modelling”, Int J Elec Comm (AEU), vol.62(2), pp.132-137, 2008.
  • M. Şengül, “Modeling based real frequency technique”, Int J Elec Comm (AEU), vol.62(2), pp.77-80, 2008.
  • M. Şengül, “Design of broadband single matching networks”, Int J Elec Comm (AEU), vol.63(3), pp.153157, 2009.
There are 15 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Metin Şengül This is me

Publication Date January 20, 2012
Published in Issue Year 2010 Volume: 10 Issue: 2

Cite

APA Şengül, M. (2012). SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES. IU-Journal of Electrical & Electronics Engineering, 10(2), 1219-1228.
AMA Şengül M. SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES. IU-Journal of Electrical & Electronics Engineering. January 2012;10(2):1219-1228.
Chicago Şengül, Metin. “SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES”. IU-Journal of Electrical & Electronics Engineering 10, no. 2 (January 2012): 1219-28.
EndNote Şengül M (January 1, 2012) SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES. IU-Journal of Electrical & Electronics Engineering 10 2 1219–1228.
IEEE M. Şengül, “SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES”, IU-Journal of Electrical & Electronics Engineering, vol. 10, no. 2, pp. 1219–1228, 2012.
ISNAD Şengül, Metin. “SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES”. IU-Journal of Electrical & Electronics Engineering 10/2 (January 2012), 1219-1228.
JAMA Şengül M. SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES. IU-Journal of Electrical & Electronics Engineering. 2012;10:1219–1228.
MLA Şengül, Metin. “SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES”. IU-Journal of Electrical & Electronics Engineering, vol. 10, no. 2, 2012, pp. 1219-28.
Vancouver Şengül M. SYNTHESIS OF LOSSLESS LADDER NETWORKSWITH SIMPLE LUMPED ELEMENTS CONNECTED VIACOMMENSURATE TRANSMISSION LINES. IU-Journal of Electrical & Electronics Engineering. 2012;10(2):1219-28.