English

Fusion Frames and the Restricted Isometry Property

Functional Analysis 2011-12-02 v1

Abstract

We will show that tight frames satisfying the restricted isometry property give rise to nearly tight fusion frames which are nearly orthogonal and hence are nearly equi-isoclinic. We will also show how to replace parts of the RIP frame with orthonormal sets while maintaining the RIP property.

Keywords

Cite

@article{arxiv.1112.0158,
  title  = {Fusion Frames and the Restricted Isometry Property},
  author = {Bernhard Bodmann and Jameson Cahill and Peter G. Casazza},
  journal= {arXiv preprint arXiv:1112.0158},
  year   = {2011}
}
R2 v1 2026-06-21T19:44:38.586Z