A Brief Introduction to Equi-Chordal and Equi-Isoclinic Tight Fusion Frames

Authors

Matthew C. Fickus, Air Force Institute of TechnologyFollow
John Jasper, University of Cincinnati
Dustin G. Mixon, Air Force Institute of Technology
Cody E. Watson, Air Force Institute of Technology

Document Type

Conference Proceeding

Publication Date

8-29-2017

Abstract

Equi-chordal and equi-isoclinic tight fusion frames (ECTFFs and EITFFs) are both types of optimal packings of subspaces in Euclidean spaces. In the special case where these subspaces are one-dimensional, ECTFFs and EITFFs both correspond to types of optimal packings of lines known as equiangular tight frames. In this brief note, we review some of the fundamental ideas and results concerning ECTFFs and EITFFs.

Comments

The ArXiv e-print is posted on AFIT Scholar in accordance with SPIE permissions. Sourced from arXiv:1708.08879 [math.FA].
Date of arXiv submission: 29 Aug 2017

This publisher version of record for this article can be found at SPIE (subscription to SPIE Digital Library required). A citation is provided below with DOI link.

DOI

10.1117/12.2270953

Source Publication

Wavelets and Sparsity XVII (Proceedings of SPIE, v.10394)

Recommended Citation

Fickus, M. C., Jasper, J., Mixon, D. G., & Watson, C. E. (2017). A brief introduction to equi-chordal and equi-isoclinic tight fusion frames. Wavelets and Sparsity XVII, 10394, 103940T. https://doi.org/10.1117/12.2270953