Distributed RC Networks with Rational Transfer Functions

Heizer, K.W.

doi:10.1109/tct.1962.1086974

Cited by 33 publications

(6 citation statements)

References 4 publications

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“…Heizer [ 9 ] had this result for yll but did not give the reason why it cannot be ratiorral. S h c e y12 has only one zero at the origin, therefore, in the two-port…”

Section: (39)mentioning

confidence: 97%

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n-Port Rectangular-Shaped Distributed RC Networks

Fu¹,

Fu²

1966

IEEE Trans. Circuit Theory

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https://ntrs.nasa.gov/search.jsp?R=19660010246 2018-05-12T12:08:21+00:00Z ABSTRACTThe three-layer structure consisting of a perfect dielectric sandwiched in between a resistive film and a pure conductor has been considered as an n-port distributed RC network. Heizer has pointed out that under certain conditions this structure can generate rational 2-port parameters. This work, using a different but simpler derivation, has established a necessary and sufficient condition f o r that in a generalized n-port structure.

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“…Heizer [ 9 ] had this result for yll but did not give the reason why it cannot be ratiorral. S h c e y12 has only one zero at the origin, therefore, in the two-port…”

Section: (39)mentioning

confidence: 97%

“…Following others [ 1 ] - [ 7 ] , Heizer [8]- [10] first pointed out that distributed systems can also be made to have rational shortcircuit admittance parameters by choosing appropriate geometry of a two-port rectangular three-layer structure. Later, Barker [111 and Woo and Hove [12] applied his result to practical circuit realizations.…”

Section: Introductionmentioning

confidence: 99%

n-Port Rectangular-Shaped Distributed RC Networks

Fu¹,

Fu²

1966

IEEE Trans. Circuit Theory

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“…Characteristic impedance of the first commensurate line that will be extracted is calculated as (8) Then, , and polynomials of the remaining network are obtained as…”

Section: Reformulation Of Stmf For Commensurate Line Synthesismentioning

confidence: 99%

“…In literature, many researches have been realized about the analysis and classification of distributed-element networks [4]- [7]. Then researchers have investigated the synthesis problem [8]- [19]. For example, in [18], a transformation is proposed to synthesize commensurate line networks.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of Cascaded Lossless Commensurate Lines

Şengül

2008

IEEE Trans. Circuits Syst. II

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A scattering transfer matrix factorization based algorithm for cascaded lossless commensurate line synthesis is presented. The characteristic impedances of the extracted commensurate lines and the reflection factors of the remaining networks are formulated in terms of reflection factor coefficients of the whole circuit. There is no need to use root search routines so as to cancel common terms, to get degree reduction. The formulation of the method is explained, and an example is included, to illustrate the implementation of the synthesis algorithm.

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“…Wyndrum [l] and O'Shea [2] presented synthesis procedures that utilize uniform RC distributed circuits interconnected in standard topologies, such as ladder networks, but the possibly large number of interconnections is a disadvantage. Heizer [3] showed that rational transfer functions can be realized by the integral structure shown in Fig. 1, which has dielectric and conducting layers on either side of a uniform resistive layer.…”

Section: Hin-filmmentioning

confidence: 99%