کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898239 1631327 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Equiangular tight frames with centroidal symmetry
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Equiangular tight frames with centroidal symmetry
چکیده انگلیسی
An equiangular tight frame (ETF) is a set of unit vectors whose coherence achieves the Welch bound, and so is as incoherent as possible. Though they arise in many applications, only a few methods for constructing them are known. Motivated by the connection between real ETFs and graph theory, we introduce the notion of ETFs that are symmetric about their centroid. We then discuss how well-known constructions, such as harmonic ETFs and Steiner ETFs, can have centroidal symmetry. Finally, we establish a new equivalence between centroid-symmetric real ETFs and certain types of strongly regular graphs (SRGs). Together, these results give the first proof of the existence of certain SRGs, as well as the disproofs of the existence of others.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 44, Issue 2, March 2018, Pages 476-496
نویسندگان
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