Local uncertainty principles for the two-sided Gabor quaternion Fourier transform

2019/03/13 by Mohammed El Kassimi, Kassimi, M. El, Saïd Fahlaoui +1
Computer Science · Engineering · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Sparse and Compressive Sensing Techniques

paper · pdf · doi:10.48550/arxiv.1903.05552

openalex publication_date 2019/03/13 · openalex created_date 2019/03/22 · openalex updated_date 2026/07/28

Abstract

By the important applications of Gabor transform in time-frequency analysis and signal analysis, in this paper, we consider the Gabor quaternion Fourier transform (GQFT), and we prove of it a version Benedicks-type uncertainty principle for GQFT and some local concentration uncertainty principles.

Citations

• The two-sided Gabor quaternion Fourier transform and some uncertainty principles

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