Frame-Like Wavelet Expansions

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


A notion of frame-like wavelet systems is introduced and analyzed. Those systems are not dual wavelet frames although preserve important properties of frames. The construction of such systems is based on the matrix extension principle (MEP), but it is simpler than the construction of wavelet frames.


Dual Wavelet Dual Frame Wavelet System Provide Approximation Order Polyphase Components 
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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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