The search functionality is under construction.

The search functionality is under construction.

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.

- Publication
- IEICE TRANSACTIONS on Communications Vol.E92-B No.6 pp.1953-1959

- Publication Date
- 2009/06/01

- Publicized

- Online ISSN
- 1745-1345

- DOI
- 10.1587/transcom.E92.B.1953

- Type of Manuscript
- Special Section PAPER (Special Section on 3rd Pan-Pacific EMC Joint Meeting -- PPEMC'08--)

- Category

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

Copy

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

Copy

@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},}

Copy

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 -