A Matrix-Based Method for Fast and Memory-Efficient Statistical Eye Diagram Generation

A Matrix-Based Method for Fast and Memory-Efficient Statistical Eye Diagram Generation | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A Matrix-Based Method for Fast and Memory-Efficient Statistical Eye Diagram Generation Mohamed Fares, Hesham Ashraf, Mahmoud Sofy, Rania F. Ahmed This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7552521/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper proposes a computationally efficient method for generating statistical eye diagrams using a matrix-based approach, tailored for high-speed SerDes communication systems. Unlike traditional convolution-based methods, which suffer from high computational complexity and memory demands, the proposed technique leverages matrix multiplication to model all inter-symbol interference (ISI) combinations. The method introduces an optimized chunk-based matrix segmentation strategy that reduces memory usage, and it exploits data-level parallelism to significantly enhance runtime performance. Experimental results demonstrate a simulation time reduction from over 1000 seconds to just 1.5 seconds while maintaining high accuracy in bit error rate (BER) estimation. This approach enables precise, scalable, and memory-efficient analysis of signal integrity, making it suitable for advanced high-speed digital system design. Bit Error Rate (BER) Inter-Symbol Interference (ISI) single-bit response (SBR) clock data recovery (CDR) probability distribution function (PDF) Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7552521","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":511558147,"identity":"b9f7747a-c1f0-492c-9f0e-9b362860f609","order_by":0,"name":"Mohamed Fares","email":"","orcid":"","institution":"Fayoum University","correspondingAuthor":false,"prefix":"","firstName":"Mohamed","middleName":"","lastName":"Fares","suffix":""},{"id":511558148,"identity":"4370ec6a-616a-41ef-8d74-0ea57e2eb16a","order_by":1,"name":"Hesham Ashraf","email":"","orcid":"","institution":"Fayoum University","correspondingAuthor":false,"prefix":"","firstName":"Hesham","middleName":"","lastName":"Ashraf","suffix":""},{"id":511558149,"identity":"a9d927a8-fa35-4b85-aacb-66ce74fa4555","order_by":2,"name":"Mahmoud Sofy","email":"","orcid":"","institution":"Cairo University","correspondingAuthor":false,"prefix":"","firstName":"Mahmoud","middleName":"","lastName":"Sofy","suffix":""},{"id":511558150,"identity":"895203b1-192d-4f14-aa8c-3b95b63d8bb7","order_by":3,"name":"Rania F. 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