A Note on Totally Symmetric Equi-Isoclinic Tight Fusion Frames
M Fickus, JW Iverson, J Jasper… - ICASSP 2022-2022 …, 2022 - ieeexplore.ieee.org
ICASSP 2022-2022 IEEE International Conference on Acoustics …, 2022•ieeexplore.ieee.org
Consider the fundamental problem of arranging r-dimensional subspaces of R d in such a
way that maximizes the minimum distance between unit vectors in different subspaces. It is
well known that equi-isoclinic tight fusion frames (EITFFs) are optimal for this packing
problem, but such ensembles are notoriously hard to construct. In this paper, we present a
novel construction of EITFFs that are totally symmetric: any permutation of the subspaces
can be realized by an orthogonal transformation of ℝ d.
way that maximizes the minimum distance between unit vectors in different subspaces. It is
well known that equi-isoclinic tight fusion frames (EITFFs) are optimal for this packing
problem, but such ensembles are notoriously hard to construct. In this paper, we present a
novel construction of EITFFs that are totally symmetric: any permutation of the subspaces
can be realized by an orthogonal transformation of ℝ d.
Consider the fundamental problem of arranging r-dimensional subspaces of R d in such a way that maximizes the minimum distance between unit vectors in different subspaces. It is well known that equi-isoclinic tight fusion frames (EITFFs) are optimal for this packing problem, but such ensembles are notoriously hard to construct. In this paper, we present a novel construction of EITFFs that are totally symmetric: any permutation of the subspaces can be realized by an orthogonal transformation of ℝ d .
ieeexplore.ieee.org
以上显示的是最相近的搜索结果。 查看全部搜索结果