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2009 | 116 | 4 | 675-677
Article title

Time-Frequency Analysis of Nonstationary Optical Signals Using Husimi Type Function

Content
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Languages of publication
EN
Abstracts
EN
Time-frequency analysis is important to identify the localized information of a non-stationary signal in the time and frequency domains simultaneously. There are few different time-frequency analysis methods available with their own specialty and suitability. In quantum mechanics Husimi function of any quantum mechanical state arises naturally whenever the simultaneous measurement of both coordinate and momentum is performed on this state with maximal accuracy allowed by the Heisenberg uncertainty relations. The Husimi function is a probability distribution for the statistics of simultaneous unsharp measurement of both coordinate and momentum. In general, like the Wigner function, the Husimi function can be defined in the space of any pair of conjugate variables. In particular, in the studies of signal processing, this space is the time-frequency space. In the present work we consider the Husimi function in this space, and apply it to analyse the multicomponent signals. The time-frequency representations of the simulated signals by using the Husimi distribution clearly show the frequency features along the time axis. The results are encouraging and indicate that, like in corresponding analogous problems in quantum mechanics, the Husimi distribution approach in the time-frequency analysis for non-stationary optical signals may provide some insights which are not so easily obtained in other, more spread approaches.
Keywords
EN
Publisher

Year
Volume
116
Issue
4
Pages
675-677
Physical description
Dates
published
2009-10
Contributors
  • School of Electrical Engineering, University of Belgrade, Belgrade, Serbia
  • Faculty of Civil Engineering, University of Belgrade, Belgrade, Serbia
  • School of Electrical and Computer Engineering, RMIT University, Melbourne, Australia
References
  • 1. E.P. Wigner, Phys. Rev. 40, 749 (1932)
  • 2. J. Ville, Cables et Transmission 2A, 61 (1948)
  • 3. L. Cohen, Time-Frequency Analysis, Prentice Hall PTR, Englewood Cliffs, New Jersey 1995
  • 4. I. Daubechies, IEEE Trans. Info Theory 36, 961 (1990)
  • 5. W. Sweldens, Appl. Comput. Harmon. Anal. 3, 186 (1996)
  • 6. D.M. Davidović, D. Lalović, Physica A 182, 643 (1992)
  • 7. P. Leboeuf, A. Voros, J. Phys. A, Math. Gen. 23, 1765 (1990)
  • 8. S.L. Braunstein, V. Budek, M. Hillery, quant-ph/ 0009076 v1, September 2000
  • 9. D.M. Appleby, J. Mod. Opt. 46, 825 (1999)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv116n469kz
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