Uncertainty Relations and Time-Frequency Distributions for Unsharp Observables
1996 (English)In: Information Sciences, ISSN 0020-0255, Vol. 89, no 3-4, 193-209 p.Article in journal (Refereed) Published
This paper deals with a new framework in analyzing the formal mathematical correspondence between quantum mechanics and time-frequency representations of a signal. It is also shown that joint time-frequency distributions have a close link with Heisenberg uncertainty relations if the observables are taken as fuzzy entities. This result contradicts the arguments of Cohen [IEEE Proc. 77(7):941 (1989)] regarding the time-frequency distributions and the uncertainty relation. It is postulated that these mechanisms will be of crucial importance in highly fragmented computation structures, such as neural networks, as they may exhibit a strong mutual interaction between data and operator.
Place, publisher, year, edition, pages
1996. Vol. 89, no 3-4, 193-209 p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-21589DOI: 10.1016/0020-0255(95)00232-4OAI: oai:DiVA.org:liu-21589DiVA: diva2:241551