Construction of Wavelets and Applications
| dc.creator | László,Ildikó | |
| dc.creator | Schipp,Ferenc | |
| dc.creator | Kozaitis,Samuel | |
| dc.date | 2006 | |
| dc.date.accessioned | 2024-02-06T12:54:44Z | |
| dc.date.available | 2024-02-06T12:54:44Z | |
| dc.description | A sequence of increasing translation invariant subspaces can be defined by the Haar-system (or generally by wavelets). The orthogonal projection to the subspaces generates a decomposition (multiresolution) of a signal. Regarding the rate of convergence and the number of operations, this kind of decomposition is much more favorable then the conventional Fourier expansion. In this paper, starting from Haar-like systems we will introduce a new type of multiresolution. The transition to higher levels in this case, instead of dilation will be realized by a two-fold map. Starting from a convenient scaling function and two-fold map, we will introduce a large class of Haar-like systems. Besides others, the original Haar system and Haar-like systems of trigonometric polynomials, and rational functions can be constructed in this way. We will show that the restriction of Haar-like systems to an appropriate set can be identified by the original Haar-system. Haar-like rational functions are used for the approximation of rational transfer functions which play an important role in signal processing [Bokor1 1998, Schipp01 2003, Bokor3 2003, Schipp 2002]. | |
| dc.format | text/html | |
| dc.identifier | https://doi.org/10.3217/jucs-012-09-1278 | |
| dc.identifier | https://lib.jucs.org/article/28677/ | |
| dc.identifier.uri | https://openrepository.mephi.ru/handle/123456789/9133 | |
| dc.language | en | |
| dc.publisher | Journal of Universal Computer Science | |
| dc.relation | info:eu-repo/semantics/altIdentifier/eissn/0948-6968 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/pissn/0948-695X | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | J.UCS License | |
| dc.source | JUCS - Journal of Universal Computer Science 12(9): 1278-1291 | |
| dc.subject | Haar-like systems | |
| dc.subject | multiresolution | |
| dc.subject | wavelets | |
| dc.subject | image processing | |
| dc.subject | signal processing | |
| dc.title | Construction of Wavelets and Applications | |
| dc.type | Research Article |