|
|||||
|
|
Wavelets Based on Orthogonal Polynomials |
|
| Authors: | Bernd Fischer Jü rgen Prestin |
| Institution: | Institut für Mathematik, Medizinische Universität zu Lübeck, D -- 23560 Lübeck, Germany ; Fachbereich Mathematik, Universität Rostock, D -- 18051 Rostock, Germany |
| Abstract: | We present a unified approach for the construction of polynomial wavelets. Our main tool is orthogonal polynomials. With the help of their properties we devise schemes for the construction of time localized polynomial bases on bounded and unbounded subsets of the real line. Several examples illustrate the new approach. |
| Keywords: | Orthogonal polynomials polynomial wavelets multiresolution analysis kernel polynomials |
| 点击此处可从《Mathematics of Computation》浏览原始摘要信息 | |
| 点击此处可从《Mathematics of Computation》下载免费的PDF全文 | |