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algorithmically processing bandlimited time-continuous signals in light of the general problem of finding \u201csuitable\u201d representations of analog information on digital hardware. Albeit abstract, we argue that this problem is fundamental in digital twinning, a signal-processing paradigm the upcoming 6G communication-technology standard relies on heavily. Using computable analysis, we formalize a general framework of machine-readable descriptions for representing analytic objects on Turing machines. Subsequently, we apply this framework to sampling and interpolation theory, providing a thoroughly formalized method for digitally processing the information carried by bandlimited analog signals. We investigate discrete-time descriptions, which form the implicit quasi-standard in digital signal processing, and establish continuous-time descriptions that take the signal\u2019s continuous-time behavior into account. Motivated by an exemplary application of digital twinning, we analyze a textbook model of digital communication systems accordingly. We show that technologically fundamental properties, such as a signal\u2019s (Banach-space) norm, can be computed from continuous-time, but not from discrete-time descriptions of the signal. Given the high trustworthiness requirements within 6G, e.g., employed software must satisfy assessment criteria in a provable manner, we conclude that the problem of \u201ctrustworthy\u201d digital representations of analog information is indeed essential to near-future information technology.<\/jats:p>","DOI":"10.3390\/a16110514","type":"journal-article","created":{"date-parts":[[2023,11,9]],"date-time":"2023-11-09T03:42:40Z","timestamp":1699501360000},"page":"514","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Trustworthy Digital Representations of Analog Information\u2014An Application-Guided Analysis of a Fundamental Theoretical Problem in Digital Twinning"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8375-8946","authenticated-orcid":false,"given":"Holger","family":"Boche","sequence":"first","affiliation":[{"name":"Chair of Theoretical Information Technology, Technical University of Munich, 80333 Munich, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7640-6988","authenticated-orcid":false,"given":"Yannik N.","family":"B\u00f6ck","sequence":"additional","affiliation":[{"name":"Chair of Theoretical Information Technology, Technical University of Munich, 80333 Munich, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2390-7524","authenticated-orcid":false,"given":"Ullrich J.","family":"M\u00f6nich","sequence":"additional","affiliation":[{"name":"Chair of Theoretical Information Technology, Technical University of Munich, 80333 Munich, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8469-9573","authenticated-orcid":false,"given":"Frank H. P.","family":"Fitzek","sequence":"additional","affiliation":[{"name":"Deutsche Telekom Chair of Communication Networks, Technical University of Dresden, 01187 Dresden, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1112\/plms\/s2-42.1.230","article-title":"On computable numbers, with an application to the Entscheidungsproblem","volume":"s2-42","author":"Turing","year":"1937","journal-title":"Proc. Lond. Math. Soc."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1109\/JRPROC.1949.232969","article-title":"Communication in the presence of noise","volume":"37","author":"Shannon","year":"1949","journal-title":"Proc. IRE"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Asadzadeh, M., and Beilina, L. (2022). 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