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Exactly how, when, or why [[Harry Nyquist]] had his name attached to the sampling theorem remains obscure. The term ''Nyquist Sampling Theorem'' (capitalized thus) appeared as early as 1959 in a book from his former employer, [[Bell Labs]],<ref>{{cite book | title = Transmission Systems for Communications | author = Members of the Technical Staff of Bell Telephone Lababoratories | year = 1959 | publisher = AT&T | pages = 26–4 |volume=2}}</ref>{{verification needed|reason=The page range "26–4" seems to mean "26–24" which makes no sense. If it is a single page numbered 26–4, use page, not pages|date=October 2023}} and appeared again in 1963,<ref>{{cite book | title = Theory of Linear Physical Systems | publisher = Wiley | year = 1963 | url = https://books.google.com/books?id=jtI-AAAAIAAJ |first=Ernst Adolph |last=Guillemin| isbn = 9780471330707 }}</ref> and not capitalized in 1965.<ref>{{cite book |first1=Richard A. |last1=Roberts |first2=Ben F. |last2=Barton |title=Theory of Signal Detectability: Composite Deferred Decision Theory |year=1965 }}</ref> It had been called the ''Shannon Sampling Theorem'' as early as 1954,<ref>{{cite journal |first=Truman S. |last=Gray |title=Applied Electronics: A First Course in Electronics, Electron Tubes, and Associated Circuits |journal=Physics Today |year=1954 |volume=7 |issue=11 |page=17 |doi=10.1063/1.3061438 |bibcode=1954PhT.....7k..17G |hdl=2027/mdp.39015002049487 |hdl-access=free }}</ref> but also just ''the sampling theorem'' by several other books in the early 1950s.
In 1958, [[R. B. Blackman|Blackman]] and [[J. W. Tukey|Tukey]] cited Nyquist's 1928 article as a reference for ''the sampling theorem of information theory'',<ref>{{cite book |first1=R. B. |last1=Blackman |author1-link=R. B. Blackman |first2=J. W. |last2=Tukey |author2-link=J. W. Tukey |title=The Measurement of Power Spectra: From the Point of View of Communications Engineering |___location=New York |publisher=Dover |year=1958 |url=http://alcatel-lucent.com/bstj/vol37-1958/articles/bstj37-1-185.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://alcatel-lucent.com/bstj/vol37-1958/articles/bstj37-1-185.pdf |archive-date=2022-10-09 |url-status=live }}{{Dead link|date=April 2020 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> even though that article does not treat sampling and reconstruction of continuous signals as others did. Their glossary of terms includes these entries:
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