Eye diagram modeling and statistical simulation in nonlinear high-speed link systems

The exponential growth in data rates of high-speed link channels, coupled with the emergence of severe nonlinear phenomena, highlights the urgent requirement for efficient and accurate simulation of high-speed link systems. A commonly utilized method for assessing signal integrity in these channels is through eye diagram analysis, facilitating the identification of jitter and noise by engineers. However, conventional approaches to conducting such analysis often prove resource-intensive regarding both time and memory or are limited to linear time-invariant systems. This thesis introduces two innovative methodologies designed to accurately and efficiently derive the eye diagram within nonlinear systems. The first approach uses a high-speed link surrogate model based on the polynomial chaos expansion method. This model enables rapid prediction of both the eye diagram and the full waveform, outperforming traditional transient simulations in terms of speed. The second approach uses an enhanced statistical analysis tailored for nonlinear systems, utilizing the Wiener model and random variable transformation. This methodology yields a three-dimensional statistical eye diagram, offering deeper insights into system behavior. Numerical examples presented in this study demonstrate the efficacy and accuracy of the proposed methodologies. By overcoming the limitations of traditional approaches, these methods pave the way for more effective analysis and design of high-speed link systems in the face of nonlinear phenomena.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2024

Author dc:creator

• Shi, Bobi

Contributors dc:contributor

• Schutt-Aine, Jose E
• Bernhard, Jennifer
• Dragic, Peter D
• Hanumolu, Pavan Kumar

• Statistical Analysis
• Eye Diagram
• Signal Integrity
• Surrogate Models
• High-speed Links
• Nonlinear System Identification

Statement dc:rights

• Copyright 2024 Bobi Shi

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/124471

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F124471