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  • Roy, Sisir, et al. (author)
  • Uncertainty Relations and Time-Frequency Distributions for Unsharp Observables
  • 1996
  • In: Information Sciences. - : Elsevier BV. - 0020-0255 .- 1872-6291. ; 89:3-4, s. 193-209
  • Journal article (peer-reviewed)abstract
    • 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.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Granlund, Gösta H. (1)
Roy, Sisir (1)
Kundu, Malay K. (1)
University
Linköping University (1)
Language
English (1)
Year

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