The Orthogonality Character of Matrix Univariate Wavelet Packets Concerning an Integer Factor
| Autor: | Yang Li, Jin Cang Han |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Discrete wavelet transform
Mechanical Engineering Stationary wavelet transform Multiresolution analysis MathematicsofComputing_NUMERICALANALYSIS Wavelet transform Cascade algorithm Wavelet packet decomposition Wavelet Orthogonality Mechanics of Materials General Materials Science Algorithm Mathematics |
| Zdroj: | Key Engineering Materials. :1147-1152 |
| ISSN: | 1662-9795 |
| DOI: | 10.4028/www.scientific.net/kem.439-440.1147 |
| Popis: | The notion of matrix-valued multiresolution analysis. A procedure for designing orthogonal matrix-valued univariate wavelet packets is presented and their orthogonality properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are obtained. Finally, one new orthonormal basis of are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|