{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/124471"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/124471","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Eye diagram modeling and statistical simulation in nonlinear high-speed link systems","abstract":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms","abstract_html":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms","abstract_has_math":false,"creators":["Shi, Bobi"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Schutt-Aine, Jose E","Bernhard, Jennifer","Dragic, Peter D","Hanumolu, Pavan Kumar"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2024,"date_issued":"2024-05","date_published":"2024-05","updated_at":"2026-07-22T22:25:00Z","subjects":["Statistical Analysis","Eye Diagram","Signal Integrity","Surrogate Models","High-speed Links","Nonlinear System Identification"],"languages":["en","eng"],"rights":["Copyright 2024 Bobi Shi"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/124471","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Schutt-Aine, Jose E","Bernhard, Jennifer","Dragic, Peter D","Hanumolu, Pavan Kumar"]},{"key":"dc:creator","label":"Author","values":["Shi, Bobi"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2024-05","2024-04-08"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Statistical Analysis","Eye Diagram","Signal Integrity","Surrogate Models","High-speed Links","Nonlinear System Identification"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2024 Bobi Shi"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/124471"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms","The student, Bobi Shi, accepted the attached license on 2024-04-05 at 15:45.","The student, Bobi Shi, submitted this Dissertation for approval on 2024-04-05 at 15:51.","This Dissertation was approved for publication on 2024-04-08 at 12:01.","DSpace SAF Submission Ingestion Package generated from Vireo submission #20311 on 2024-09-16 at 00:33:42","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."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Eye diagram modeling and statistical simulation in nonlinear high-speed link systems"]}]}],"canonical_facts":{"dc:contributor":["Schutt-Aine, Jose E","Bernhard, Jennifer","Dragic, Peter D","Hanumolu, Pavan Kumar"],"dc:creator":["Shi, Bobi"],"dc:date":["2024-05","2024-04-08"],"dc:description":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms","The student, Bobi Shi, accepted the attached license on 2024-04-05 at 15:45.","The student, Bobi Shi, submitted this Dissertation for approval on 2024-04-05 at 15:51.","This Dissertation was approved for publication on 2024-04-08 at 12:01.","DSpace SAF Submission Ingestion Package generated from Vireo submission #20311 on 2024-09-16 at 00:33:42","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."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/124471"],"dc:language":["en","eng"],"dc:rights":["Copyright 2024 Bobi Shi"],"dc:subject":["Statistical Analysis","Eye Diagram","Signal Integrity","Surrogate Models","High-speed Links","Nonlinear System Identification"],"dc:title":["Eye diagram modeling and statistical simulation in nonlinear high-speed link systems"],"dc:type":["text"],"thesis:degree_discipline":["Electrical & Computer Engr"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:00Z"}