Redundancy and frame potential of finite frames

Aghaei, Mahdieh Sadat; Hasankhani Fard, Mohammad Ali

doi:10.22072/wala.2024.2033719.1456

Redundancy and frame potential of finite frames

Document Type : Research Paper

Authors

Mahdieh sadat Aghaei

Mohammad Ali Hasankhani Fard

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

https://doi.org/10.22072/wala.2024.2033719.1456

Abstract

This paper is concentrated on redundancy and frame potential of finite frames in $n$-dimensional Hilbert space $\mathcal{H}_n$. More precisely, all possible finite frame redundancies are characterized. Also, all possible frame potential of finite frames with prescribed norms is characterized. Finally, the results are presented for dimensions $n=2$ and $n=3$. ...

Keywords

frame

frame potential

lower redundancy

upper redundancy

redundancy function