Name
Abstract | ||
|---|---|---|
The selection of scaling functions for optimal signal representation by general multidimensional biorthogonal wavelet bases is investigated. Criterion for optimality is the minimization of the mean-square approximation error at each level of the decomposition. Conditions are given under which the approximation error of the decomposition approaches zero as the level increases. Given arbitrary synthesis filters, the optimal corresponding analysis filters are determined. Globally optimal families of filters are also found, and suboptimal linear and nonlinear-phase filters for the realization of the optimal scaling functions are explicitly determined |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1109/78.506607 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
arbitrary synthesis filter,optimal scaling function,optimal biorthogonal wavelet base,approximation error,optimal signal representation,optimal family,general multidimensional biorthogonal wavelet,mean-square approximation error,level increase,signal decomposition,decomposition approach,optimal corresponding analysis filter,wavelet transforms,minimisation,correspondence analysis,minimization,image reconstruction,sampling methods,upper bound,global optimization,signal reconstruction,transform coding,multidimensional systems | Signal processing,Mathematical optimization,Filter bank,Decomposition method (constraint satisfaction),Wavelet packet decomposition,Approximation error,Mathematics,Biorthogonal wavelet,Wavelet transform,Multidimensional systems | Journal |
Volume | Issue | ISSN |
44 | 6 | 1053-587X |
Citations | PageRank | References |
11 | 0.94 | 12 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M.G. Strintzis | 1 | 43 | 4.44 |