2021/03/06 by Sabrine Arfaoui, Arfaoui, Sabrine, Maryam G. Alshehri +3
Mathematics · Computer Science · Engineering · #Mathematical Analysis and Transform Methods #Image and Signal Denoising Methods #Sparse and Compressive Sensing Techniques
paper · pdf · doi:10.48550/arxiv.2103.04078
The aim of this paper is to derive a new uncertainty principle for the generalized q-Bessel wavelet transform studied earlier in \citeRezguietal. In this paper, an uncertainty principle associated with wavelet transforms in the q-calculus framework has been established. A two-parameters extension of the classical Bessel operator is applied to generate a wavelet function which is exploited next to explore a wavelet uncertainty principle already in the q-calculus framework.