Robustness and surgery of frames

Sivaram K. Narayan, Eileen L. Radzwion, Sara P. Rimer, Rachael L. Tomasino, Jennifer L. Wolfe, Andrew M. Zimmer

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We characterize frames in ℝn that are robust to k erasures. The characterization is given in terms of the support of the null space of the synthesis operator of the frame. A necessary and sufficient condition is given for when an (r, k)-surgery on unit-norm tight frames in R2 are possible. Also a generalization of a known characterization of the existence of tight frames with prescribed norms is given.

Original languageEnglish
Pages (from-to)1893-1901
Number of pages9
JournalLinear Algebra and Its Applications
Volume434
Issue number8
DOIs
StatePublished - Apr 15 2011

Keywords

  • Erasure
  • Frames
  • Robustness
  • Surgery
  • Tight frames

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