Prime tight frames

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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We introduce a class of finite tight frames called prime tight frames and prove some of their elementary properties. In particular, we show that any finite tight frame can be written as a union of prime tight frames. We then characterize all prime harmonic tight frames and use thischaracterization to suggest effective analysis and synthesis computation strategies for such frames. Finally, we describe all prime frames constructed from the spectral tetris method, and, as a byproduct, we obtain a characterization of when the spectral tetris construction works for redundancies below two.
Original languageEnglish
JournalAdvances in Computational Mathematics
Publication date2014
Volume40
Issue2
Pages315-334
ISSN1019-7168
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 1

Keywords

  • Divisible frames, Equiangular tight frames, Frames, Harmonic tight frames, Prime frames, Spectral tetris frames, Tight frames
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