Crosstalk in Transmission Lines

Electromagnetic coupling

Electric field coupling (also called capacitive coupling) occurs when energy is coupled from one circuit to another through an electric field

Two circuits above a signal return plane.

Magnetic field coupling (also called inductive coupling) occurs when energy is coupled from one circuit to another through a magnetic field

Two circuits above a signal return plane


For instance

  • magnetic coupling between multiple inductors
  • capacitive coupling between multiple transmission lines

Return Path

image-20250705171613361

Current return paths are frequency dependent \(Z = R +j\omega L\)

  • Low frequency
    • \(R\) dominates - current use as many returns as possible to have parallel resistances
  • High frequency
    • \(j\omega L\)​ dominates - current use the closest possible return path to form the smallest possible loop inductance
  • Very high frequency
    • The current would be confined to the nearest possible return only at ultra-high frequencies (skin effect)

image-20250705170949035


skin effect & Dielectric loss

image-20250705170028485


EMX simulation

setup:

image-20250706004037966

frequency sweep:

image-20250706010943996

Cadence October 2020, Analysis of a Figure-Eight Inductor with EMX RAK

image-20250706010216105

Tline Approximation

[https://web.stanford.edu/class/archive/ee/ee371/ee371.1066/handouts/markChapt.pdf]

Eric Bogatin. Pop Quiz: When is an Interconnect Not a Transmission Line? [https://www.signalintegrityjournal.com/blogs/4-eric-bogatin-signal-integrity-journal-technical-editor/post/265-pop-quiz-when-is-an-interconnect-not-a-transmission-line]

image-20250817105056325

image-20250817105203031image-20250817105308602

image-20260115210350617

Decoupling Capacitor

image-20250705175343498

image-20260125205518872

image-20260125205941736

image-20260125211108504

Grounding

Chapter 11 Layout and grounding [http://ieb-srv1.upc.es/gieb/tecniques/doc/EMC/pdfs/ScienceDirect_articles_27Jul2018_12-16-10.699/Chapter-11---Layout-and-grounding_2007_EMC-for-Product-Designers.pdf]

TODO

reference

信号完整性揭秘:于博士SI设计手记

Bogatin, E. (2018). Signal and power integrity, simplified. Prentice Hall. [pdf]

High-speed Serial Interface Lect. 9 – Noise [http://tera.yonsei.ac.kr/class/2017_2_2/lecture/Lect%209%20Noise.pdf]


Yuriy Shlepnev. How Interconnects Work: Characteristic Impedance and Reflections [https://www.linkedin.com/pulse/how-interconnects-work-characteristic-impedance-yuriy-shlepnev/]

—. How Interconnects Work: Bandwidth for Modeling and Measurements [https://www.linkedin.com/pulse/how-interconnects-work-bandwidth-modeling-yuriy-shlepnev/?trackingId=874kpm3XuNyV9D0eP6IioA%3D%3D]

Eric Bogatin. Pop Quiz: When is an Interconnect Not a Transmission Line? [https://www.signalintegrityjournal.com/blogs/4-eric-bogatin-signal-integrity-journal-technical-editor/post/265-pop-quiz-when-is-an-interconnect-not-a-transmission-line]

TeledyneLeCroy/SignalIntegrity Python tools for signal integrity applications [SignalIntegrityApp]

A Look at Transmission-Line Losses [http://blog.teledynelecroy.com/2018/06/a-look-at-transmission-line-losses.html]

How Much Transmission-Line Loss is Too Much? [http://blog.teledynelecroy.com/2018/06/how-much-transmission-line-loss-is-too.html]

Raymond Y. Chen, Raymond Y. Chen. Fundamentals of S Fundamentals of S-Parameter Parameter Modeling for Power Distribution Modeling for Power Distribution System (PDS) and SSO Analysis System (PDS) and SSO Analysis [https://ibis.org/summits/jun05/chen.pdf]