Affiliation:
1. Department of Mathematics , Faculty of Science , Beijing University of Technology , Beijing 100124 , P. R. China
Abstract
AbstractDue to its applications in signal analysis and image processing, the quaternionic Fourier analysis has received increasing attention. In particular, quaternionic Gabor frames (QGFs) attracted some mathematicians’ interest. From the literatures, some results on QGFs are based on quaternionic Fourier orthonormal bases. But those used so-called quaternionic Fourier orthonormal bases have a gap that they are all incomplete. In this paper, we present a class of quaternionic Fourier orthonormal bases, and using them derive the corresponding Gabor orthonormal bases.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,General Mathematics
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