High precision synthesis of a richards immittance via parametric approach

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Tarih

2014-04

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Yayıncı

IEEE-INST Electrical Electronics Engineers Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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Özet

A Richards immitance is a positive real function expressed in terms of the Richards variable lambda = tanh(pT) = Sigma + j Omega where p = sigma + j omega is the classical complex frequency. A Richards immittance can be synthesized as a lossless two port terminated in a resistance as in Darlington's synthesis such that the two- port consists of commensurate transmission lines. In this paper, a high precision method is presented to synthesize a Richards immittance as a lossless two- port constructed with cascade connections of equal length transmission lines, as well as short and open stubs. The new method of synthesis utilizes Bode procedure ( or Parametric Method) to correct an immitance function specified in the complex Richards variable lambda at each step of the synthesis. It is verified that new technique can synthesize a randomly generated Richards immitate function yielding 25 commensurate lines with the accumulated numerical error less than 10(-3.) A complete synthesis package is developed in MatLab and successfully integrated with the Real Frequency Technique to design broadband matching networks. Examples are presented to show the merits of the new Richards synthesis tool.

Açıklama

Anahtar Kelimeler

Broadband matching networks, Cascade network synthesis, Darlington synthesis, Equalizers, Kuroda identities, Real frequency techniques, Richards synthesis

Kaynak

IEEE Transactions on Circuits and Systems I: Regular Papers

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

61

Sayı

4

Künye

Yarman, B. S. B., Köprü, R., Kumar, N. & Prakash, C. (2014). High precision synthesis of a richards immittance via parametric approach. IEEE Transactions on Circuits and Systems I: Regular Papers, 61(4), 1055-1067. doi:10.1109/TCSI.2013.2285913