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Symmetric Wavelets

  • Aleksandr Krivoshein
  • Vladimir Protasov
  • Maria SkopinaEmail author
Chapter
  • 690 Downloads
Part of the Industrial and Applied Mathematics book series (INAMA)

Abstract

Different kinds of symmetry of wavelets are desirable in many applications, since they obey linear-phase properties. We discuss the construction of symmetric refinable masks in general settings. A variety of methods for the construction of symmetric wavelet frames and frame-like wavelet systems are also analysed.

Keywords

Mask Refinement Wavelet System Dual Wavelet Frames Extensive Matrix Polyphase Components 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Sweldens, W.: The Lifting scheme: A custom-design construction of biorthogonal wavelets. Appl. Comput. Harmon. Anal. 2, 186–200 (1996)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Bhatt, G.: Construction of wavelet frames using lifting like schemes. Int. J. Math. Anal. 5(48), 1583–1593 (2011)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2016

Authors and Affiliations

  • Aleksandr Krivoshein
    • 1
  • Vladimir Protasov
    • 2
  • Maria Skopina
    • 1
    Email author
  1. 1.Department of Applied Mathematics and Control ProcessesSaint Petersburg State UniversitySaint PetersburgRussia
  2. 2.Department of Mechanics and MathematicsLomonosov Moscow State UniversityMoscowRussia

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