A Converse to the Sampling Theorem
1982 (English)Report (Other academic)
Various forms of the sampling theorem assure that any signal x(t) which satisfies a certain bandwidth limitation can be uniquely reconstructed from its values at equally spaced sample points. Inherent in all these results is that the reconstruction is invariant under timeshifts. Our present result is that if such a time shift invariance is required, a certain bandwidth limitation is not only a sufficient but also a necessary condition for reconstruction of a signal from its sample values.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1982. , 10 p.
LiTH-ISY-I, ISSN 0281-6253 ; 526
IdentifiersURN: urn:nbn:se:liu:diva-132011ISBN: LiTH-ISY-I-0526OAI: oai:DiVA.org:liu-132011DiVA: diva2:1037188