Study on the Impact of Imbalance between Transmission Lines on Crosstalk: a Novel Perspective of Displacement Current

LU Xiaozhu; SONG Lingnan; XU Hui; SU Donglin

doi:10.23919/cje.2024.00.049

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Xiaozhu LU, Lingnan SONG, Hui XUet al., “Study on the Impact of Imbalance between Transmission Lines on Crosstalk: a Novel Perspective of Displacement Current,” Chinese Journal of Electronics, vol. x, no. x, pp. 1–11, xxxx doi: 10.23919/cje.2024.00.049

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Xiaozhu LU, Lingnan SONG, Hui XUet al., “Study on the Impact of Imbalance between Transmission Lines on Crosstalk: a Novel Perspective of Displacement Current,” Chinese Journal of Electronics, vol. x, no. x, pp. 1–11, xxxx doi: 10.23919/cje.2024.00.049

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Study on the Impact of Imbalance between Transmission Lines on Crosstalk: a Novel Perspective of Displacement Current

doi: 10.23919/cje.2024.00.049

LU Xiaozhu^1
,,
SONG Lingnan^{1
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XU Hui^2
,,
SU Donglin^1
,

1.
School of Electronics and Information Engineering, Beihang University, Beijing 100191, China
2.
Research Institute for Frontier Science, Beihang University, Beijing 100191, China

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Author Bio:
Xiaozhu LU received the B.S. degree from Tsinghua University, Beijing, China, and is currently pursuing his Ph.D. degree at Beihang University, School of Electronics and Information Engineering. His research interest focuses on electromagnetic field measurements, the mechanism of electromagnetic emission, and electromagnetic coupling characteristics. (Email: luxiaozhu_idea@buaa.edu.cn)

Lingnan SONG received the B.S.degree in optical engineering from Zhejiang University, Hangzhou, China, in 2014, and the M.S. and Ph.D. degrees in electrical and computer engineering from the University of California at Los Angeles (UCLA), Los Angeles, CA, USA, in 2016 and 2020, respectively. She was with UCLA under the supervision of Prof. Yahya Rahmat-Samii at the Antenna Research, Analysis, and Measurement Laboratory. She is currently an Assistant Professor at Beihang University, Beijing, China. Her primary research interests include wireless telemetry antenna systems, implantable antennas, wearable antennas, antenna and human body interactions, RFID, reconfigurable antennas, and electromagnetic compatibility measurement techniques. Dr. Song was the First Place Winner in the Ernest K. Smith USNC-URSI Student Paper Competition of the year 2017 and a recipient of the 2019 International Symposium on Electromagnetic Theory (EMTS) Young Scientist Award and the 2021 Applied Computational Electromagnetics Society (ACES) Young Scientist Award. (Email: lingnan_song@buaa.edu.cn)

Hui XU received the B.E. degree in electronic and information engineering from Beihang University, China, in 2014, and the Ph.D. degree from Beihang University, China, in 2020. He joined the Research Institute for Frontier Science, Beihang University in 2020, and is working as a research associate currently. His current research interests include electromagnetic compatibility design in system level, electromagnetic radiation modeling, and electromagnetic emission source analysis of equipments and circuits. (Email: xuhui@buaa.edu.cn)

Donglin SU received the B.S., M.S., and Ph.D. degrees in electrical engineering from Beihang University, Beijing, China, in 1983, 1986, and 1999, respectively. In 1986, she joined the Faculty of School of Electronics and Information Engineering, BUAA, where she was first an Assistant, then a Lecturer, later on an Associate Professor, and is currently a Full Professor. From 1996 to 1998, she was a Visiting Scholar with the Department of Electrical Engineering, University of California, Los Angeles, Los Angeles, CA, USA, under the BUAA-UCLA Joint Ph.D. Program. She has authored more than 100 papers and coauthored several books. Her research interests include the numerical methods for microwave and millimeter-wave integrated circuits and systematic electromagnetic compatibility design of various aircrafts. Dr. Su is a Member of the Chinese Academy of Engineering. She is a Fellow of the Chinese Institute of Electronics. She is the Chair of Beijing Chapter of the IEEE Antennas and Propagation Society and the Deputy Chair of the Antennas Society, Chinese Institute of Electronics. She was the recipient of the National Science and Technology Advancement Award of China in 2007 and 2012, and the National Technology Invention Award of China in 2018. She’s also the editor-in-chief of the journal Electromagnetic Science. (Email: sdl@buaa.edu.cn)
Corresponding author: Email: lingnan_song@buaa.edu.cn
Available Online: 2024-03-19

Abstract

Abstract

This paper systematically studies the impact of imbalances between adjacent lines and effects on crosstalk. A novel perspective of displacement current is introduced to analyze and explain the simulated observations. The imbalances caused by coupling between single-single, single-differential, and differential-differential lines are studied and analyzed by considering the near-field coupling through the generated displacement currents. Measurements are conducted for various cases of coupled adjacent lines. An equivalent model considering the variation of displacement current with geometrical parameters is also proposed, and the corresponding coupling coefficients are extracted based on simulations to characterize the impact of imbalances. The methods and results presented in this paper provide useful guidelines for designing high-speed circuit layouts with closely spaced transmission lines.
- Imbalance,
- transmission line,
- high-speed digital circuits,
- single-ended line,
- differential line,
- crosstalk,
- displacement current,
- mutual coupling,
- radiation emission (RE)

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References(33)

References

[1]	T. H. Wang, J. X. Zou, H. H. Qi, et al., “A programmable pre-emphasis technique with combined RLC source degeneration for high-speed serial link transmitters,” Chinese Journal of Electronics, vol. 31, no. 1 pp. 52–58, 2022. doi: 10.1049/cje.2021.00.055
[2]	Y. P. Zhang, “Differential antennas: Fundamentals and applications,” Electromagnetic Science, vol. 1, no. 1, article no. 0010021, 2023. doi: 10.23919/emsci.2022.0002
[3]	Z. Z. Peng and D. L. Su, “Analytical models of passive linear structures in printed circuit boards,” Chinese Journal of Electronics, vol. 30, no. 2 pp. 275–281, 2021. doi: 10.1049/cje.2020.08.017
[4]	K. X. Ma, “Regulation and control of electromagnetic field in radio-frequency circuits and systems,” Electromagnetic Science, vol. 1, no. 3, article no. 0030101, 2023. doi: 10.23919/emsci.2022.0010
[5]	J. Fan, X. N. Ye, J. Kim, et al., “Signal integrity design for high-speed digital circuits: Progress and directions,” IEEE Transactions on Electromagnetic Compatibility, vol. 52, no. 2 pp. 392–400, 2010. doi: 10.1109/TEMC.2010.2045381
[6]	J. Fan, A. Hardock, R. Rimolo-Donadio, et al., “Signal integrity: Efficient, physics-based via modeling: Return path, impedance, and stub effect control,” IEEE Electromagnetic Compatibility Magazine, vol. 3, no. 1 pp. 76–84, 2014. doi: 10.1109/MEMC.2014.6798802
[7]	J. W. Li, G. Dong, and Z. Wang, “Statistical interconnect crosstalk noise model and analysis for process variations,” Chinese Jourmal of Electronics, vol. 24, no. 1 pp. 83–87, 2015. doi: 10.1049/cje.2015.01.014
[8]	M. Ž. Stojilović, N. M. Nenadić, and A. R. Djordjević, “Effects of mounting pads and length imbalance on performance of fast differential interconnects,” in Proceedings of Papers 5th European Conference on Circuits and Systems for Communications (ECCSC’10), Belgrade, Serbia, pp. 157–160, 2010.
[9]	F. Grassi, L. Badini, G. Spadacini, et al., “Crosstalk and mode conversion in adjacent differential lines,” IEEE Transactions on Electromagnetic Compatibility, vol. 58, no. 3 pp. 877–886, 2016. doi: 10.1109/TEMC.2016.2528585
[10]	S. L. Hong, H. C. Hung, S. A. Chou, et al. , “Investigation on common-mode noise for differential lines crossing other differential lines,” in 2015 Asia-Pacific Symposium on Electromagnetic Compatibility (APEMC), Taipei, China, pp. 506–509, 2015.
[11]	L. Badini, F. Grassi, G. Spadacini, et al. , “Sensitivity of mode conversion in geometrically unbalanced coupled differential lines,” in 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), Turin, Italy, pp. 1361–1364, 2015.
[12]	L. Badini, F. Grassi, G. Spadacini, et al. , “Sensitivity analysis of proximity effects in nearby differential lines,” in 2016 Asia-Pacific International Symposium on Electromagnetic Compatibility (APEMC), Shenzhen, China, pp. 717–719, 2016.
[13]	F. Grassi, P. Manfredi, X. K. Liu, et al., “Effects of undesired asymmetries and nonuniformities in differential lines,” IEEE Transactions on Electromagnetic Compatibility, vol. 59, no. 5 pp. 1613–1624, 2017. doi: 10.1109/TEMC.2017.2686699
[14]	G. N. Phung, U. Arz, T. D. Pham, et al., “Recommendations for the design of differential thin-film microstrip lines,” in 2023 IEEE 27th Workshop on Signal and Power Integrity (SPI), Aveiro, Portugal, pp. 1–4, 2023.
[15]	F. Grassi, G. Spadacini, and S. A. Pignari, “The concept of weak imbalance and its role in the emissions and immunity of differential lines,” IEEE Transactions on Electromagnetic Compatibility, vol. 55, no. 6 pp. 1346–1349, 2013. doi: 10.1109/TEMC.2013.2261302
[16]	F. Grassi, X. H. Wu, Y. L. Yang, et al., “Modeling of imbalance in differential lines targeted to spice simulation,” Progress in Electromagnetics Research B, vol. 62 pp. 225–239, 2015. doi: 10.2528/PIERB15012304
[17]	A. Sanyal, A. Pan, and S. Kundu, “A study on impact of loading effect on capacitive crosstalk noise,” in 2009 10th International Symposium on Quality Electronic Design, San Jose, CA, USA, pp. 696–701, 2009.
[18]	A. Owzar, R. Stephan, W. Petersen, et al. , “Far-end maximum crosstalk for coupled lines as function of load,” in 2009 European Microelectronics and Packaging Conference, Rimini, Italy, pp. 1–4, 2009.
[19]	A. Hardock, S. Müller, X. M. Duan, et al. , “Minimizing displacement return currents in multilayer via structures,” in 2012 IEEE 21st Conference on Electrical Performance of Electronic Packaging and Systems, pp. 208–211, 2012.
[20]	C. F. Li, K. Cai, M. Q. Ouyang, et al., “Mode-decomposition-based equivalent model of high-speed Vias up to 100 GHz,” IEEE Transactions on Signal and Power Integrity, vol. 2 pp. 74–83, 2023. doi: 10.1109/TSIPI.2023.3268255
[21]	S. W. Huang and L. Tsang, “Fast broadband modeling of traces connecting vias in printed circuit boards using broadband green’s function method,” IEEE Transactions on Components, Packaging and Manufacturing Technology, vol. 7, no. 8 pp. 1343–1355, 2017. doi: 10.1109/TCPMT.2017.2691351
[22]	J. Muñoz-Enano, P. Vélez, and F. Martín, “Signal balancing in unbalanced transmission lines,” IEEE Transactions on Microwave Theory and Techniques, vol. 67, no. 8 pp. 3339–3349, 2019. doi: 10.1109/TMTT.2019.2922598
[23]	X. L. Wu, F. Grassi, P. Manfredi, et al., “Compensating mode conversion due to bend discontinuities through intentional trace asymmetry,” IEEE Transactions on Electromagnetic Compatibility, vol. 62, no. 2 pp. 617–621, 2020. doi: 10.1109/TEMC.2019.2904178
[24]	T. Zebbadji, C. Gouasmia, Y. Mahamdi, et al. , “Cross-current minimization in modular system with unbalanced line impedances,” in 2022 2nd International Conference on Advanced Electrical Engineering (ICAEE), Constantine, Algeria, pp. 1–6, 2022.
[25]	K. Vaz and M. Caggiano, “Measurement technique for the extraction of differential s-parameters from single-ended s-parameters,” in 27th International Spring Seminar on Electronics Technology: Meeting the Challenges of Electronics Technology Progress, Bankya, Bulgaria, pp. 313–317, 2004.
[26]	L. T. Hwang, M. Y. Huang, H. C. Lin, et al. , “Line coupling, ground defect, port termination, and line parameters extraction for coupled lines with mixed-mode stimuli,” in 2021 IEEE 71st Electronic Components and Technology Conference (ECTC), San Diego, CA, USA, pp. 1246–1251, 2021.
[27]	K. Kang, J. Brinkhoff, J. L. Shi, et al., “On-chip coupled transmission line modeling for millimeter-wave applications using four-port measurements,” IEEE Transactions on Advanced Packaging, vol. 33, no. 1 pp. 153–159, 2010. doi: 10.1109/TADVP.2009.2024212
[28]	Y. K. Zhu, K. Kang, Y. Q. Wu, et al., “An equivalent circuit model with current return path effects for ON-chip interconnect up to 80 GHz,” IEEE Transactions on Components, Packaging and Manufacturing Technology, vol. 5, no. 9 pp. 1320–1330, 2015. doi: 10.1109/TCPMT.2015.2448572
[29]	X. Deng, D. Zhang, Y. K. Chen, et al., “Characteristic mode analysis: Application to electromagnetic radiation, scattering, and coupling problems,” Chinese Journal of Electronics, vol. 32, no. 4 pp. 663–677, 2023. doi: 10.23919/cje.2022.00.200
[30]	D. Moongilan, “Grounding optimization techniques for controlling radiation and crosstalk in mixed signal PCBs,” in 1998 IEEE EMC Symposium. International Symposium on Electromagnetic Compatibility. Symposium Record (Cat. No. 98CH36253), Denver, CO, USA, pp. 495–500, 1998.
[31]	K. Scharff, H. M. Torun, C. Yang, et al. , “Bayesian optimization for signal transmission including crosstalk in a via array,” in 2020 International Symposium on Electromagnetic Compatibility - EMC EUROPE, Rome, Italy, pp. 1–6, 2020.
[32]	K. Wu and M. Rahman, “Pulse generation and compression techniques for microwave electronics and ultrafast systems,” Electromagnetic Science, vol. 1, no. 1, article no. 0010131, 2023. doi: 10.23919/emsci.2022.0013
[33]	Z. L. Wang and J. J. Shao, “Recent progress on the Maxwell’s equations for describing a mechano-driven medium system with multiple moving objects/media,” Electromagnetic Science, vol. 1, no. 2, article no. 0020171, 2023. doi: 10.23919/emsci.2023.0017