Effects of permutation functions on woven and non-woven frames

Abstract

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.