Complex equiangular tight frames and erasures

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• 作者：Thomas R. Hoffman ; ^{thoffman@coastal.edu} ; James P. Solazzo ^{jsolazzo@coastal.edu}
• 关键词：05C50 ; 05C90
• 刊名：Linear Algebra and its Applications
• 出版年：2012
• 期刊代码：38_00243795
• 类别：mt
• 出版时间：15 July, 2012
• 卷：437
• 期：2
• 页码：549-558
• 文件大小：266 K

摘要

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 optimal against three erasures, and that such frames come from a unique class of complex ETFs. In addition, we extend certain results in Bodmann and Paulsen (2005) to complex vector spaces as well as show that other results regarding real ETFs are not valid for complex ETFs.