Measuring translation shiftability of frames

DOI10.1016/j.camwa.2006.03.031zbMath1283.42047OpenAlexW2082262947MaRDI QIDQ2458527

Matti Heiliö, Jouni Sampo, Joni-Kristian Kamarainen, Heikki Kälviäinen

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.03.031

zbMATH Keywords

wavelettranslationframebasisnonorthogonalShiftability

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Cites Work

• The theory of multiresolution analysis frames and applications to filter banks
• Classification of wavelet bases by translation subgroups and nonharmonic wavelet bases
• The shiftability of some wavelet bases
• Framelets: MRA-based constructions of wavelet frames
• Scaling functions robust to translations
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• On sampling in shift invariant spaces
• Framing pyramids
• Approximation Error of Shifted Signals in Spline Spaces
• An introduction to frames and Riesz bases

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