Presentation 2007-06-22
Asymptotic Behavior and High-Pass Nature of Continuously Varying Nonuniform Transmission Lines as ω Approaches Infinity
Fumio KATO,
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Abstract(in English) We discuss the asymptotic estimates of frequency-range characteristics of nonuniform transmission lines with no discontinuity points as ω approaches infinity. In order to invoke the asymptotic calculation of solutions of the Liouville Normal Form (LNF), we transform the Telegrapher's equation into the LNF. Then, an expression of the chain matrix in terms of the basic solutions of the LNF is utilized to obtain the asymptotic estimates of the matrix. On the basis of the result, the transmission coefficient of a line with both ports terminated in resistances is estimated asymptotically to show that it converges to a constant or a simple function oscillation between two distinct constants.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Nonuniform Transmission Line / Chain Matrix / Transmission Coefficient / Liouville Normal Form / Asymptotic Expression
Paper # CAS2007-21,VLD2007-37,SIP2007-51
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Committee VLD
Conference Date 2007/6/15(1days)
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Registration To VLSI Design Technologies (VLD)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Asymptotic Behavior and High-Pass Nature of Continuously Varying Nonuniform Transmission Lines as ω Approaches Infinity
Sub Title (in English)
Keyword(1) Nonuniform Transmission Line
Keyword(2) Chain Matrix
Keyword(3) Transmission Coefficient
Keyword(4) Liouville Normal Form
Keyword(5) Asymptotic Expression
1st Author's Name Fumio KATO
1st Author's Affiliation School of Engineering, Hokkaido Tokai University()
Date 2007-06-22
Paper # CAS2007-21,VLD2007-37,SIP2007-51
Volume (vol) vol.107
Number (no) 103
Page pp.pp.-
#Pages 6
Date of Issue