A Note on Fractional Gabor Systems in L2ℝ

Abstract

In this article, fractional Gabor frames in L2ℝ are defined and studied. Also, a finite linear combination of fractional Gabor frames for L2ℝ is discussed. It is proved that under certain conditions, a finite linear combination of fractional Gabor frames is a fractional Gabor frame for L2ℝ. Finally, the stability of fractional Gabor frames is discussed, and some results for the stability of fractional Gabor frames are proved.