The Bargmann analytic representation in signal analysis

  • Authors:

  • L. K. Stergioulas;A. Vourdas

  • Affiliations:

  • Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, UK;Department of Computing, University of Bradford, Bradford BD7 1DP, UK

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2004

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Abstract

The Bargmann analytic representation of quantum mechanics is used in the context of time-frequency signal analysis. Transformations between the various representations are derived. Examples that show how this method can be implemented numerically and demonstrate its robustness to noise are discussed.