Construction of Periodic Prolate Spheroidal Wavelets Using Interpolation

DOI10.1080/01630560701283342zbMath1155.42009OpenAlexW1999718837MaRDI QIDQ3444675

Xiaoping Shen, Gilbert G. Walter

Publication date: 4 June 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701283342

zbMATH Keywords

dilation equationinterpolation propertiesbandlimited signalperiodic waveletsfilter coefficientsperiodic prolate spheroidal waveletsperiodic PS waveletstrigonometric polynomials, multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Trigonometric interpolation (42A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Lamé, Mathieu, and spheroidal wave functions (33E10)

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The nonconvergence of \(h\)-refinement in prolate elements ⋮ A generalization of the prolate spheroidal wave functions with applications to sampling ⋮ On relating interpolatory wavelets to interpolatory scaling functions in multiresolution analyses ⋮ Dualwavelet frames in Sobolev spaces on local fields of positive characteristic

Cites Work

• Prolate spheroidal wavelets: translation, convolution, and differentiation made easy
• Wavelets based on prolate spheroidal wave functions
• A new friendly method of computing prolate spheroidal wave functions and wavelets
• Periodic Prolate Spheroidal Wavelets
• Some comments on Fourier analysis, uncertainty and modeling
• Ten Lectures on Wavelets
• Fast Inverse $QR$ Factorization for Toeplitz Matrices
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