Unitary and Noncommutative Wavelet
Juan Cai · 2003
In the classical wavelet theory,study on certain orthogonal basis of Hilbert spaces of functions.The noncommutative wavelet method to construct wavelet basis is used.In noncommutative case,orthonormal base vectors can be chosen to be unitary operators of any fix order.The unitary basis on an operator algebra to study of representations of two dimensional functions is used and the certain convergence is discussed.Next,a group of unitary basis is constructed,and form the unitary basis by tensor product.By this group basis,image is decomposed,and coefficient matrix by decomposing image is used to encipher and hide image information.