Gabor Frame Bound Optimizations

作者：Markus Faulhuber, Irina Shafkulovska · 发表于：Social Science Research Network · 年份：2022 · DOI：10.1016/j.acha.2023.101574 · 被引用次数：6 · 研究领域：Mathematics

We study sharp frame bounds of Gabor systems over rectangular lattices for different windows and integer oversampling rate. In some cases we obtain optimality results for the square lattice, while in other cases the lattices optimizing the frame bounds and the condition number are rectangular lattices which are different for the respective quantities. Also, in some cases optimal lattices do not exist at all and a degenerated system is optimal.