Robustness and Surgery of Frames

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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
JournalLinear Algebra and Its Applications
Issue number434
StatePublished - 2011

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