INFLUENCE OF BLOCK PROCESSING ON THE RESULTS OF CONTINUOUS WAVELET TRANSFORM

Shoberg A. G., Babich P. V., Shoberg G. A.

The continuous wavelet transform can be represented in various forms depending on the direction of processing the input data. This article explores a block-based approach to performing the continuous wavelet transform. The proposed solutions differ from traditional ones in their direction invariance. Expressions for calculating the continuous wavelet transform in different block forms based on a matrix approach have been developed. Transformations are considered based on the number of blocks and the direction of processing. The results of modeling are presented graphically. A comparison of the results of performing various types of transforms based on the developed expressions is conducted.

Keywords:continuous wavelet transform, blocks, decomposition, processing direction, invariance