A Note on Totally Symmetric Equi-Isoclinic Tight Fusion Frames
Document Type
Conference Proceeding
Publication Date
5-23-2022
Abstract
Consider the fundamental problem of arranging r-dimensional subspaces of ℝd in such a way that maximizes the minimum distance between unit vectors in different subspaces. It is well known that equiisoclinic 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 ℝd.
Source Publication
ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Recommended Citation
Fickus, M., Iverson, J. W., Jasper, J., & Mixon, D. G. (2022). A Note on Totally Symmetric Equi-Isoclinic Tight Fusion Frames. ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 8987–8991. https://doi.org/10.1109/ICASSP43922.2022.9746835
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