Symmetric Wavelets

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


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.


Mask Refinement Wavelet System Dual Wavelet Frames Extensive Matrix Polyphase Components 
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    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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