{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/high-resolution-waveform-capture-device-on-a","title":"High-Resolution Waveform Capture Device on a Cyclone-V FPGA","arxiv_id":"2109.03026","date":"2021-08-16","proceeding":null,"authors":["Noeloikeau Charlot","Daniel J. Gauthier","Andrew Pomerance"],"abstract":"We introduce the waveform capture device (WCD), a flexible measurement system capable of recording complex digital signals on trillionth-of-a-second (ps) time scales. The WCD is implemented via modular code on an off-the-shelf field-programmable gate-array (FPGA, Intel/Altera Cyclone V), and incorporates both time-to-digital converter (TDC) and digital storage oscilloscope (DSO) functionality. The device captures a waveform by taking snapshots of a signal as it propagates down an ultra-fast transmission line known as a carry chain (CC). It is calibrated via a novel dynamic phase-shifting (DPS) method that requires substantially less data and resources than the state-of-the-art. Using DPS, we find the measurement resolution - or mean propagation delay from one CC element to the next - to be 4.91 +/- 0.04 ps (4.54 +/- 0.02 ps) for a pulse of logic high (low). Similarly, we find the single-shot precision - or mean error on the timing of the waveform - to be 29.52 ps (27.14 ps) for pulses of logic high (low). We verify these findings by reproducing commercial oscilloscope measurements of asynchronous ring-oscillators on FPGAs, finding the mean pulse width to be 0.240 +/- 0.002 ns per inverter gate. Finally, we present a careful analysis of design constraints, introduce a novel error correction algorithm, and sketch a simple extension to the analog domain. We also provide the Verilog code instantiating the our design on an FPGA in an Appendix, and make our methods available as an open-source Python library at https://github.com/Noeloikeau/fpyga.","url_abs":"https://arxiv.org/abs/2109.03026v1","url_pdf":"https://arxiv.org/pdf/2109.03026v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"high-resolution-waveform-capture-device-on-a","repo_url":"https://github.com/noeloikeau/fpyga","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}