We present a new family of biorthogonal wavelet and wavelet packet transforms for discrete periodic signals and a related library of biorthogonal periodic symmetric waveforms. The construction is based on the superconvergence property of the interpolatory polynomial splines of even degrees. The cons
Interpolatory Hermite Spline Wavelets
โ Scribed by T.N.T. Goodman
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 483 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
โฆ Synopsis
Wavelets are constructed comprising spline functions with multiple knots. These wavelets have certain derivatives vanishing at the integers, in an analogous manner to the (B)-splines of Schoenberg and Sharma related to cardinal Hermite interpolation. 1994 Academic Press, Inc.
๐ SIMILAR VOLUMES
In this note, we present a construction of interpolatory wavelet packets. Interpolatory wavelet packets provide a finer decomposition of the 2 j th dilate cardinal interpolation space and hence give a better localization for an adaptive interpolation. This can lead to a more efficient compression sc
This paper is concerned with the numerical construction of Hermite interpolatory product integration rules at arbitrarily prescribed nodes. The heart of the computational scheme is the efficient construction of Hermite functions of any order for any set of points. For the purpose of illustration, qu