论文标题
Gabor单帧和多帧乘数在任何给定的维度
Gabor single-frame and multi-frame multipliers in any given dimension
论文作者
论文摘要
功能性GABOR单帧或多帧发电机乘数是保留Parseval Gabor单帧或多帧发电机的功能条目的矩阵。一个有趣而自然的问题是如何表征所有这些乘数。对于几个特殊情况，包括在二维中的单帧发电机和一维发电机的情况下，已经回答了这个问题。在本文中，我们完全表征了Gabor单帧和多帧发电机相对于任何给定维度中的可分离时频晶格的乘数。我们的方法是一般的，也适用于先前已知的案例。
Functional Gabor single-frame or multi-frame generator multipliers are the matrices of function entries that preserve Parseval Gabor single-frame or multi-frame generators. An interesting and natural question is how to characterize all such multipliers. This question has been answered for several special cases including the case of single-frame generators in two dimensions and the case of multi-frame generators in one-dimension. In this paper we completely characterize multipliers for Gabor single-frame and multi-frame generators with respect to separable time-frequency lattices in any given dimension. Our approach is general and applies to the previously known cases as well.
