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Uncertainty Relations and Time-Frequency Distributions for Unsharp Observables
Indian Statistical Institute.
Indian Statistical Institute.
Linköping University, Department of Electrical Engineering, Computer Vision . Linköping University, The Institute of Technology.
1996 (English)In: Information Sciences, ISSN 0020-0255, Vol. 89, no 3-4, 193-209 p.Article in journal (Refereed) Published
Abstract [en]

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.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-21589DOI: 10.1016/0020-0255(95)00232-4OAI: diva2:241551
Available from: 2009-10-04 Created: 2009-10-04 Last updated: 2009-10-04

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Granlund, Gösta H.
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