MULTILEVEL WAVELET TRANSFORM SIMULATION ON THE BASIS FUNCTIONS, GROUPED IN SYMMETRIC MACRO-BLOCKS
The article deals with the models of multilevel block wavelet transform. On the basis of scaling and wavelet functions, options for formation of various levels transform matrices are analyzed for two consecutive blocks. Analytical expressions for the description of each variant of the matrices formation are proposed and their graphic form is presented. Two types of the proposed block matrices possess invariance to two successive rotations by 900. This leads to the invariance of the processing direction for a multilevel block wavelet transform. The resulting effect can be used to increase the efficiency of executing some data processing tasks. For example, in performing affine transformations in recognition, or in fractal data representation in the spatial-frequency domain, etc.
Keywords: simulation, multilevel block transform, multiscale analysis, wavelet, matrix representation, reconstruction, symmetry