Uncertainty principle for the two sided quaternion windowed Fourier transform View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-02-26

AUTHORS

Kamel Brahim, Emna Tefjeni

ABSTRACT

In this paper, we study the quaternion windowed Fourier transform and prove the Beckner’s uncertainty principle in term of entropy, Lieb uncertainty principle and the Heisenberg uncertainty principle for the quaternion windowed Fourier transform, the radar quaternion ambiguity function and the quaternion-Wigner transform.

PAGES

1-27

References to SciGraph publications

  • 2017-03. Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function in INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
  • 2001. Non-commutative Hypercomplex Fourier Transforms of Multidimensional Signals in GEOMETRIC COMPUTING WITH CLIFFORD ALGEBRAS
  • 1997-05. The uncertainty principle: A mathematical survey in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
  • 2007-08. Quaternion Fourier Transform on Quaternion Fields and Generalizations in ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • 2012-12. The Balian-Low Theorem for the Windowed Quaternionic Fourier Transform in ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11868-019-00283-5

    DOI

    http://dx.doi.org/10.1007/s11868-019-00283-5

    DIMENSIONS

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