Name
Abstract | ||
|---|---|---|
This work generalizes the rank 2 (scale factor of 2) orthogonal wavelet sequences of Daubechies to the case of a rank $M$ wavelet matrix. Several equivalent definitions of $N$th order vanishing moments for rank $M$ wavelets are developed. These notions are used to find an explicit formula for rank $M$ wavelet scaling sequences with $N$ vanishing wavelet moments (of degree $N$ in our terminology). A full wavelet matrix (scaling sequence and $M-1$ wavelet sequences) is constructed, with explicit examples. |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1137/S0895479893245486 | SIAM Journal on Matrix Analysis and Applications |
Keywords | Field | DocType |
scale factor,wavelet moment,full wavelet matrix,vanishing moments,explicit formula,wavelet matrix,orthogonal wavelet sequence,equivalent definition,explicit example,wavelet sequence,wavelet scaling sequence,wavelets | Orthogonal wavelet,Scale factor,Mathematical optimization,Coiflet,Vanishing moments,Mathematical analysis,Matrix (mathematics),Scaling,Mathematics,Wavelet | Journal |
Volume | Issue | ISSN |
16 | 2 | 0895-4798 |
Citations | PageRank | References |
30 | 3.55 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Peter Niels Heller | 1 | 30 | 3.55 |
| HellerPeter Niels | 2 | 30 | 3.55 |