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Title: Generalized Mixed-Mode S-Parameter Framework for Accurate Multipair Crosstalk Analysis in High-Speed Digital Channels
The accuracy of mixed-mode S-parameter conversion is important for crosstalk mitigation in high-speed digital systems. However, the conventional mixed-mode S-parameter formulation assumes equal even-mode and odd-mode impedances ( Zoo=Zoe ), which limits its applicability, particularly in tightly coupled differential structures. In this article, we propose a novel mixed-mode S-parameter generalization (generalized M1/M2 approach) using an N-differential port network, which allows for multipair (i.e., pair-to-pair) crosstalk analysis on coupled differential systems, given by: [Smm]i×i= ([M1]i×i×[Ss]i×i+[M2]i×i)×([M1]i×i+ [M2]i×i×[Ss])−1. The proposed M1/M2 formulation eliminates the need for renormalization by integrating mode-dependent coupling factors koo and koe, ensuring a more physically meaningful representation of mixed-mode S-parameters, thereby improving the accuracy of both intrapair and interpair crosstalk analysis in high-speed digital systems. The effectiveness of the proposed M1/M2 approach is demonstrated through intrapair and interpair analysis on tightly coupled striplines, revealing peak-to-peak variations in differential return loss, interpair near-end crosstalk, and far-end crosstalk. Validation using a differential setup with commercial tools (Balun approach) confirmed the formulation's accuracy, with errors below 1%. In addition, measurement validation on a microstrip differential pair highlighted the model's scalability and precision, emphasizing the importance of incorporating mode-dependent impedance variations.  more » « less
Award ID(s):
1916535
PAR ID:
10695013
Author(s) / Creator(s):
 ;  ;  ;  ;  ;  ;  ;  ;  
Publisher / Repository:
IEEE
Date Published:
Journal Name:
IEEE Transactions on Signal and Power Integrity
Volume:
4
ISSN:
2768-1866
Page Range / eLocation ID:
96 to 108
Subject(s) / Keyword(s):
Crosstalk Scattering parameters Power transmission lines Transmission line measurements Impedance Stripline Prevention and mitigation Crosstalk Analysis High-speed Channel Renormalization Difference In Loss Microstrip Conventional Forms Coupling Factor High-speed System Differential Pair Cross-sectional Black Box Transmission Line Printed Circuit Board Coupling Coefficient Bottom Of Page Vector Network Analyzer Differential Peaks 3D Simulation Numerical Errors Impedance Values Wave Power PowerWave Reference Plane Coupled crosstalk far-end crosstalk (FEXT) interpair intrapair mixed-mode multipair near-end crosstalk (NEXT) uncoupled
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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