Multi Discrete Laguerre Wavelets Transforms with The Mathematical aspects

Abstract

The Linear approximation, means the order of smoothness of the void function. As for non-linear approximation, when compared to linear approximation, a significant improvement in the arrangement of approximation can be observed.

In this paper the theorems of linear approximation and non-linear approximation are demonstrated, Moreover, some hypotheses were orthogonal theorem is proven

many important theorems will be proven and proven in formation Multi Discrete  Laguerre Wavelets Transform (MDLWT) so that they take  their role in signal or image processing,  this makes them possess properties like those they have those used for the same purpose and with high efficiency.

 In second part in this paper, the new wavelet MDLWT was used after extracting the filter high pass filter  and  low pass filter by extracting the decision trees for the transactions where the new wavelet was used in image processing and mean square error (MSE), Peak signal-to-noise ratio (PSNR), Bits per pixel ratio (BPP) and Compression ratio (CR) were calculated, and the applications were done on 4 samples which good results have been found to prove the efficiency of the new wavelet