A Grassmannian fusion frame is an optimal configuration of subspaces of a given vector space, that are useful in some applications related to representing data in signal processing. Grassmannian fusion frames are robust against noise and erasures when the signal is reconstructed. In this paper, we present an approach to construct optimal Grassmannian fusion frames based on a given Grassmannian frame. We also analyse an algorithm for sparse fusion frames which was introduced by Calderbank et al. and present necessary and sufficient conditions for the output of that algorithm to be an optimal Grassmannian fusion frame.

中文翻译：

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等弦紧融合框架

格拉斯曼融合帧是给定矢量空间的子空间的最佳配置，在某些与信号处理中表示数据有关的应用中很有用。重建信号时，格拉斯曼融合帧对噪声和擦除具有鲁棒性。在本文中，我们提出了一种基于给定的格拉斯曼框架构造最优格拉斯曼融合框架的方法。我们还分析了Calderbank等人介绍的稀疏融合帧算法。并为该算法的输出成为最佳格拉斯曼融合框架提供了充要条件。