Abstract

In the article “Special affine multiresolution analysis and the construction of orthonormal wavelets in L2(R)” (Shah and Lone, 2022), we have introduced a novel multiresolution analysis (MRA) in the realm of the special affine Fourier domain. In continuation to the study, we present the construction of wavelet packets associated with the special affine MRA and investigate their orthonormal properties. Subsequently, we derive an orthogonal decomposition for the proposed special affine wavelet packet subspaces Uj,kM by employing the orthonormal properties of special affine wavelet packets. Besides, a fast wavelet packet algorithm associated with special affine wavelet packets is also presented. Towards the culmination, we extend the scope of the present study by exploring the applications of the special affine wavelet packets to image compression techniques.

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