Designment and Characters of a Sort of Orthogonal Vector-Valued Poly-Scaled Wavelets
Yumin Yu · Shuxue de shijian yu renshi · 2011
The notion of orthogonal vector-valued wavelets with poly-scale is introduced.A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets with poly-scale is derived by vietue of paraunitary vector filter ban k theory and matrix theory. One constructive examples on vector-valued wavelets are presented.The concept of orthogonal multi-scaled vector-valued wavelet packets is introduced.Their properties are characterized, and two rthogonality formulas concerning the wavelet packets are established by using time-frequency analysis method and operator theory.