A note on Gabor frames

摘要: Wilson frames $\{\psi_j^k :w_0,w_{-1}\in L^2(\mathbb{R})\}_{j\in\mathbb{Z}\atop {k \in\mathbb{N}_0}}$ in $L^2(\mathbb{R})$ have been defined and a characterization of terms Gabor is given when $w_0=w_{-1}$. Also, under certain conditions necessary condition for system to be Bessel sequence given. We also obtained sufficient frame sequences. For $w_0=w_{-1}$, stability discussed. the same assumption frame.