In this paper a class of Gabor frames with time shift parameter $a>0$, frequency shift parameter $b>0$ and bounded compactly supported generator function $g$ such that $supp\ g\subseteq\left[\left(k+2\right)a-\frac{2}{b},ka+\frac{1}{b}\right]$ or $supp\ g\subseteq\left[\left(k+1\right)a-\frac{1}{b},ka+\frac{1}{b}\right]$, where $k$ is an integer number is introduced. In particular, a sufficient condition on a function $g\in C_c^+\left( \mathbb{R}\right) $ with $supp\ g\subseteq\left[\left(k+2\right)a-\frac{2}{b},ka+\frac{1}{b}\right]$ and positive decreasing derivative $g^\prime$ on $\left(ka-\frac{1}{b},\left( k+2\right)a \right)$, that make $\left\{E_{mb}T_{na}g\right\}_{m,n\in\mathbb{Z}}$ into a Gabor frame, is given.
Hasankhani Fard,M. A. (2024). A class of Gabor frames with bounded compactly supported generator function. Wavelet and Linear Algebra, 11(2), 22-31. doi: 10.22072/wala.2024.2014347.1436
MLA
Hasankhani Fard,M. A. . "A class of Gabor frames with bounded compactly supported generator function", Wavelet and Linear Algebra, 11, 2, 2024, 22-31. doi: 10.22072/wala.2024.2014347.1436
HARVARD
Hasankhani Fard M. A. (2024). 'A class of Gabor frames with bounded compactly supported generator function', Wavelet and Linear Algebra, 11(2), pp. 22-31. doi: 10.22072/wala.2024.2014347.1436
CHICAGO
M. A. Hasankhani Fard, "A class of Gabor frames with bounded compactly supported generator function," Wavelet and Linear Algebra, 11 2 (2024): 22-31, doi: 10.22072/wala.2024.2014347.1436
VANCOUVER
Hasankhani Fard M. A. A class of Gabor frames with bounded compactly supported generator function. WALA, 2024; 11(2): 22-31. doi: 10.22072/wala.2024.2014347.1436
