2011/07/08 by Thomas R. Hoffman, Thomas Hoffman, Hoffman, Thomas +3 · 2 citations
Mathematics · #Mathematical Analysis and Transform Methods #Rings, Modules, and Algebras #math.FA #msc:05C50 #msc:05C90
paper · pdf · doi:10.48550/arxiv.1107.2267
12 pages
arxiv created 2011/07/08 · arxiv updated 2011/07/13
In this paper we demonstrate that there are distinct differences between real and complex equiangular tight frames (ETFs) with regards to erasures. For example, we prove that there exist arbitrarily large non-trivial complex equiangular tight frames which are robust against three erasures, and that such frames come from a unique class of complex ETFs. In addition, we extend certain results in \citeBP to complex vector spaces as well as show that other results regarding real ETFs are not valid for complex ETFs.