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Wigner Distributions and Ambiguity Functions in Image Analysis

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Computer Analysis of Images and Patterns (CAIP 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2124))

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Abstract

The Wigner distribution of a two-dimensional image function has the form of a four-dimensional Fourier transform of a correlation product r(x 1 x 2,χ1,χ2) with respect to the spatial-shift variables χ1 and χ2 The corresponding ambiguity function has the form of the inverse Fourier transform of rx 1,x 2,χ1,χ2 with respect to spatial variables x 1 and x 2. There exist dual definitions in the frequency domain (f 1,f 2,μ1,μ2), where μ 1,μ 2 are frequency-shift variables. The paper presents the properties of these distributions and describes applications for image analysis.

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Author information

Authors and Affiliations

  1. Institute of Radioelectronics, Warsaw University of Technology, Nowowiejska 15/19, 00-665, Warsaw, Poland

    Stefan L. Hahn & Kajetana M. Snopek

Authors
  1. Stefan L. Hahn
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  2. Kajetana M. Snopek
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Editor information

Editors and Affiliations

  1. Faculty of Electronics and Information Technology Institute of Radioelectronics, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665, Warsaw, Poland

    Władysław Skarbek

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© 2001 Springer-Verlag Berlin Heidelberg

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Hahn, S.L., Snopek, K.M. (2001). Wigner Distributions and Ambiguity Functions in Image Analysis. In: Skarbek, W. (eds) Computer Analysis of Images and Patterns. CAIP 2001. Lecture Notes in Computer Science, vol 2124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44692-3_65

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  • DOI: https://doi.org/10.1007/3-540-44692-3_65

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42513-7

  • Online ISBN: 978-3-540-44692-7

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