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EN
In this correspondence, we discuss two efficient algorithms for the execution of forward (FDMWT) and inverse (IDMWT) discrete multiwavelet transform basic operations with reduced computational complexities. We used multiwavelet basis proposed by Geronimo, Hadrin, and Massopust (GHM). The direct implementation of GHM-FDMWT basic operation requires 23 multiplications and 19 additions. The direct implementation of GHM-IDMWT basic operation requires 23 multiplication and 16 additions. At the same time, our solutions allow designing the computation procedures, which take only 10 multiplications plus 15 additions for GHM-FDMWT basic operation and 10 multiplications plus 10 additions for GHM-IDMWT basic operation
EN
The wavelet transform is one of the most effective tools for many tasks concerning signal and image processing, however it is difficult to obtain all of the necessary properties in one scalar wavelet. This leads to the development of new types of transforms such as a multiwavelet transform, which possesses more than one scaling and wavelet function and makes a possibility to combine these functions in order to obtain necessary properties. In the present study the CL2, LV and DGHM multiwavelets were used for an identification of spatial damage in a composite plate based on the analysis of its modal shapes. The obtained results show that some properties of the multiwavelet transform may improve the damage identification algorithm and replace the classical wavelet-based methods
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