When a signal measured by woven frames is transmitted, the order of some of these coefficients may change, resulting in undesirable signal reconstruction. In this paper, we investigate the permutations that if two frames are woven, one of the frames will be woven with a permutation of the other frame. We also examine the existence of permutations that a Riesz basis and reordered Riesz basis are woven.

中文翻译：

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排列函数对编织和非编织框架的影响

当传输由编织帧测量的信号时，其中一些系数的顺序可能会改变，从而导致不期望的信号重建。在本文中，我们研究了如果编织两个框架，其中一个框架将与另一个框架的排列编织的排列。我们还检验了 Riesz 基和重新排序的 Riesz 基交织的排列的存在性。