A Study On Decision And Property Of Minimum-energy Matrix-valued Wavelets Tight Frames

In this paper,minimum-energy matrix-valued wavelet tight frames are introduced.It’s a important and meaningful work for us to study on wavelet tight frames,because they are able to maintain the advantages of orthogonal wavelet basis,and at the same time solve its deficiency such as contradiction among compact support,continuity and symmetry.As we know,there are some researches on wavelet frames and multi-wavelets tight frames,however,research on matrix-valued wavelet tight frames is very little.In this paper,definition and concept of minimum-energy matrix-valued wavelet tight frames are proposed based on the wavelet tight frames and the matrix-valued wavelet and the conditions for scaling functions to generate a minimum-energy matrix-valued wavelet tight frame.In addition,decomposition and construction algorithm is given out.