The Mallat algorithm of orthonormal two-direction wavelets with dilation factor a
Meng Shao-ting · Journal of Shaanxi Normal University · 2010
The Mallat algorithm of orthonormal two-direction wavelets with dilation factor a is discussed. The concepts of orthonormal two-direction refinable function and orthonormal two-direction wavelets with dilation factor a are introduced. Using the theory of orthonormal two-direction multi-resolution analysis with dilation factor a,the decomposition and reconstruction Mallat algorithm of orthonormal two-direction wavelets are obtained. the corresponding matrix representations are given. A necessary and sufficient condition of complete reconstruction with decomposition is deduced. This algorithm is important for the decomposition and reconstruction of discrete signal with finite energy.