In this paper the time-domain analysis of two parallel traces is investigated. First, the telegrapher's equations for transmission line are applied to the parallel traces on printed circuit board (PCB), and are solved by using the mode decomposition technique. The time-domain solutions are then obtained by using the inverse Laplace transform. Although the Fourier-transform technique is also applicable for this problem, the solution is given numerically. Contrarily, the inverse Laplace transform successfully leads to an analytical expression for the transmission characteristics. The analytical expression is represented by series, which clearly explains the coupling mechanism. The analytical expression for the fundamental section of a meander delay line is investigated in detail. The analytical solution is validated by measurements, and the characteristics of the distortions in the output waveforms of meander delay lines due to the crosstalk are also investigated.
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Fengchao XIAO, Kimitoshi MURANO, Yoshio KAMI, "Analytical Solution for Two Parallel Traces on PCB in the Time Domain with Application to Hairpin Delay Lines" in IEICE TRANSACTIONS on Communications,
vol. E92-B, no. 6, pp. 1953-1959, June 2009, doi: 10.1587/transcom.E92.B.1953.
Abstract: In this paper the time-domain analysis of two parallel traces is investigated. First, the telegrapher's equations for transmission line are applied to the parallel traces on printed circuit board (PCB), and are solved by using the mode decomposition technique. The time-domain solutions are then obtained by using the inverse Laplace transform. Although the Fourier-transform technique is also applicable for this problem, the solution is given numerically. Contrarily, the inverse Laplace transform successfully leads to an analytical expression for the transmission characteristics. The analytical expression is represented by series, which clearly explains the coupling mechanism. The analytical expression for the fundamental section of a meander delay line is investigated in detail. The analytical solution is validated by measurements, and the characteristics of the distortions in the output waveforms of meander delay lines due to the crosstalk are also investigated.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.E92.B.1953/_p
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@ARTICLE{e92-b_6_1953,
author={Fengchao XIAO, Kimitoshi MURANO, Yoshio KAMI, },
journal={IEICE TRANSACTIONS on Communications},
title={Analytical Solution for Two Parallel Traces on PCB in the Time Domain with Application to Hairpin Delay Lines},
year={2009},
volume={E92-B},
number={6},
pages={1953-1959},
abstract={In this paper the time-domain analysis of two parallel traces is investigated. First, the telegrapher's equations for transmission line are applied to the parallel traces on printed circuit board (PCB), and are solved by using the mode decomposition technique. The time-domain solutions are then obtained by using the inverse Laplace transform. Although the Fourier-transform technique is also applicable for this problem, the solution is given numerically. Contrarily, the inverse Laplace transform successfully leads to an analytical expression for the transmission characteristics. The analytical expression is represented by series, which clearly explains the coupling mechanism. The analytical expression for the fundamental section of a meander delay line is investigated in detail. The analytical solution is validated by measurements, and the characteristics of the distortions in the output waveforms of meander delay lines due to the crosstalk are also investigated.},
keywords={},
doi={10.1587/transcom.E92.B.1953},
ISSN={1745-1345},
month={June},}
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TY - JOUR
TI - Analytical Solution for Two Parallel Traces on PCB in the Time Domain with Application to Hairpin Delay Lines
T2 - IEICE TRANSACTIONS on Communications
SP - 1953
EP - 1959
AU - Fengchao XIAO
AU - Kimitoshi MURANO
AU - Yoshio KAMI
PY - 2009
DO - 10.1587/transcom.E92.B.1953
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E92-B
IS - 6
JA - IEICE TRANSACTIONS on Communications
Y1 - June 2009
AB - In this paper the time-domain analysis of two parallel traces is investigated. First, the telegrapher's equations for transmission line are applied to the parallel traces on printed circuit board (PCB), and are solved by using the mode decomposition technique. The time-domain solutions are then obtained by using the inverse Laplace transform. Although the Fourier-transform technique is also applicable for this problem, the solution is given numerically. Contrarily, the inverse Laplace transform successfully leads to an analytical expression for the transmission characteristics. The analytical expression is represented by series, which clearly explains the coupling mechanism. The analytical expression for the fundamental section of a meander delay line is investigated in detail. The analytical solution is validated by measurements, and the characteristics of the distortions in the output waveforms of meander delay lines due to the crosstalk are also investigated.
ER -