Synthesis of a network containing a cascade of commensurate transmission lines and lumped elements

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Synthesis of a network containing a cascade of commensurate transmission lines and lumped elements

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Simple necessary and sufficient conditions are presented under which a 2-variable admittance function may be realised as a cascade of commensurate lossless transmission lines with several lumped shunt capacitors located at specified positions at the junctions of adjacent lines and terminated in a positive resistance. Two types of networks are considered. The first consists of equal-delay transmission lines, the second contains not necessarily equal-delay but commensurate-delay transmission lines. The main results are obtained on the basis of Trudi's theory of bigradient arrays.

Inspec keywords: network synthesis; distributed parameter networks

Other keywords: lumped elements; lumped shunt capacitors; cascade; network synthesis; equal delay transmission lines; 2 variable admittance function; commensurate transmission lines; Trudi's theory of bigradient arrays

Subjects: Distributed linear networks

References

    1. 1)
      • T.N. Rao . Minimal synthesis of two-variable reactance matrices. Bell Syst. Tech. J. , 163 - 199
    2. 2)
      • T. Muir . (1920) , The theory of determinants in the historical order of development.
    3. 3)
      • H. Ozaki , T. Kasami . Positive real functions of several variables and their applications to variable networks. IRE Trans. , 251 - 260
    4. 4)
      • J.O. Scanlan , J.D. Rhodes . Realizability of a resistively terminated cascade of lumped two-port networks separated by noncommensurate transmission lines. IEEE Trans. , 388 - 394
    5. 5)
      • T. Koga . Synthesis of finite passive n-ports with prescribed two-variable reactance mactrices. IEEE Trans. , 31 - 52
    6. 6)
      • L. Young . Microwave filters-1965. IEEE Trans. , 489 - 508
    7. 7)
      • Youla, D.C.: `Synthesis of n-ports containing lumped and distributed elements', Proceedings of the Polytechnic Institute of Brooklyn symposium on generalised networks, 1966, p. 289–344.
    8. 8)
      • H.G. Ansell . On certain two-variable generalizations of circuit theory, with applications to networks of transmission lines and lumped reactances. IEEE Trans. , 214 - 223
    9. 9)
      • T. Koga . Synthesis of passive n-ports with prescribed positive real matrices of several variables. IEEE Trans. , 2 - 23
    10. 10)
      • Saito, M.: `Synthesis of transmission line networks by multivarible techniques', Proceedings of the Poly-technic Institute of Brooklyn symposium on generalised networks, 1966, p. 353–392.
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