An Arithmetic Characterization of the Conjugate Quadrature Filters Associated to Orthonormal Wavelet Bases

DOI10.1137/0524078zbMath0792.42022OpenAlexW1990768731MaRDI QIDQ3142815

Albert Cohen, Qiyu Sun

Publication date: 21 July 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0524078

zbMATH Keywords

conjugate quadrature filtersorthonormal scaling functionorthonormal wavelet bases

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (12)

Affine frame decompositions and shift-invariant spaces ⋮ An ideal spline-wavelet family for curve design and editing ⋮ A criterion of orthogonality for a class of scaling functions ⋮ Orthogonality criteria for compactly supported refinable functions and refinable function vectors ⋮ Phaseless sampling and reconstruction of real-valued signals in shift-invariant spaces ⋮ Stability of the shifts of global supported distributions ⋮ A criterion for orthogonality of refinable functions. ⋮ Compactly supported wavelets based on almost interpolating and nearly linear phase filters (Coiflets) ⋮ Zeros of a mask function and the orthogonality of the related scaling function ⋮ Linear independence of refinable distributions supported on \([0,2\times [0,2]\)] ⋮ Some topics on wavelet analysis ⋮ Compactly supported tight and sibling frames with maximum vanishing moments

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