The construction of orthogonal wavelets with multiple vector values is tightly supported

multi-vector values;  multi-resolution analysis;  scale function;  orthogonal wavelets;  Detailed equations;  Ermet matrix

By introducing the concepts of vector value multi-resolution analysis and orthogonal wavelets of multiple vector values, using the theory of imitation vector filter and Fourier transform, the sufficient conditions for the existence of orthogonal wavelets of multiple vector values are obtained, and the orthogonal wavelet function of multiple vector values is constructed by using multi-resolution analysis methods and matrix theory, and a class of orthogonal wavelets with tight support vector values is given a number of orthogonal scale functions suitable for certain conditions, and a construction algorithm for orthogonal wavelets of multiple vector values is given, and a corresponding construction example is given.