Corpus ID: 17051328

On Generalized Coiflets

  title={On Generalized Coiflets},
  author={D. Cern{\'a} and V. Finek},
This paper deals with generalized coiflets designed in [Monzón, Beylkin, Hereman, 1999] and with computing their scaling coefficients, respectively. Such wavelets are useful in applications where interpolation and linear phase are of importance. We derive alternative definitions and prove their equivalence. In all definitions the system with minimal number of equations is proposed, the third definition enables to eliminate some quadratic conditions occurring in original definition. Moreover, by… Expand


Compactly Supported Wavelets Based on Almost Interpolating and Nearly Linear Phase Filters (Coiflets)
Abstract New compactly supported wavelets for which both the scaling and wavelet functions have a high number of vanishing moments are presented. Such wavelets are a generalization of the so-calledExpand
On the computation of scaling coefficients of Daubechies' wavelets
In the present paper, Daubechies' wavelets and the computation of their scaling coefficients are briefly reviewed. Then a new method of computation is proposed. This method is based on the work [7]Expand
Nearly symmetric orthogonal wavelets with non-integer DC group delay
This paper investigates the design of Coiflet-like nearly symmetric compactly supported orthogonal wavelets. The group delay is used as the main vehicle by which near symmetry is achieved. ByExpand
Wavelets and Filter Banks
Wavelet and short-time Fourier analysis is introduced in the context of frequency decompositions. Wavelet type frequency decompositions are associated with lter banks, and using this fact, lter bankExpand
Coiflet systems and zero moments
The Coifman wavelets created by Daubechies (1992) have more zero moments than imposed by specifications. This results in systems with approximately equal numbers of zero scaling function and waveletExpand
Wavelets and Multiscale Signal Processing
Multi-resolution analysis: The continuous point of view The discrete point of view The multivariate case. Wavelets and conjugate quadrature filters: The general case The finite case Wavelets withExpand
Orthonormal bases of compactly supported wavelets II: variations on a theme
Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for theExpand
Approximation Properties of Wavelets and Relations Among Scaling Moments
Abstract In many wavelets applications, a scalar product of given function with the scaling function has to be calculated. For deriving effective one point quadrature formulas, the relation among theExpand
Approximation properties of wavelets and relations among scaling moments II
A new orthonormality condition for scaling functions is derived. This condition shows a close connection between orthonormality and relations among discrete scaling moments. This new condition inExpand
On orthonormal wavelets
  • Proceedings of ICPM
  • 2004