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- W2166525336 abstract "The realization of immittance matrices of passive, bilateral two-ports without transformers is discussed. It is shown that given any symmetric, positive real, immittance matrix, as for example the open-circuit impedance matrix with entries <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>z_{11}(s)</tex> , <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>z_{12}(s)</tex> , and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>z_{22}(s)</tex> , provided only that the driving functions have nonzero real parts when the variable <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</tex> is imaginary, a RLC network <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N</tex> without coupled coils can always be found such that the parameters of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N</tex> are <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>z_{11}(s), Kz_{12}(s)</tex> , and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>z_{22}(s)</tex> where <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K</tex> is any positive number no greater than <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{max}</tex> . The value <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{max}</tex> is determined by the given parameters and may or may not exceed unity. A simple rule for determining <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{max}</tex> is given. The realization procedure makes use of available approximation techniques which give rise to nonunique solutions. All solutions, however, are in the form of general lattice networks." @default.
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- W2166525336 date "1963-01-01" @default.
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- W2166525336 title "On the Realization of 2-Port Immittance Matrices Without Transformers" @default.
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- W2166525336 doi "https://doi.org/10.1109/tct.1963.1082070" @default.
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