Spectral Tetris Fusion Frame Constructions

Details Spectral Tetris Fusion Frame Constructions Spectral Tetris Fusion Frame Constructions

2011-08-19

arxiv.org/abs/1108.4061v2

Mathematics

Numerical Analysis

Scientific paper

Spectral tetris is a fexible and elementary method to construct unit norm frames with a given frame operator, having all of its eigenvalues greater than or equal to two. One important application of spectral tetris is the construction of fusion frames. We first show how the assumption on the spectrum of the frame operator can be dropped and extend the spectral tetris algorithm to construct unit norm frames with any given spectrum of the frame operator. We then provide a suffcient condition for using this generalization of spectral tetris to construct fusion frames with prescribed spectrum for the fusion frame operator and with prescribed dimensions for the subspaces. This condition is shown to be necessary in the tight case of redundancy greater than two.

Affiliated with

Also associated with

No associations

Rating

Spectral Tetris Fusion Frame Constructions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectral Tetris Fusion Frame Constructions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral Tetris Fusion Frame Constructions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-244185