Constructing tight fusion frames
نویسندگان
چکیده
منابع مشابه
Tight p-fusion frames
Fusion frames enable signal decompositions into weighted linear subspace components. For positive integers p, we introduce p-fusion frames, a sharpening of the notion of fusion frames. Tight p-fusion frames are closely related to the classical notions of designs and cubature formulas in Grassmann spaces and are analyzed with methods from harmonic analysis in the Grassmannians. We define the p-f...
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The paper presents a method of construction of tight frames for L(Ω), Ω ⊂ R. The construction is based on local orthogonal matrix extension of vectors associated with the transition matrices across consecutive resolution levels. Two explicit constructions are given, one for linear splines on triangular polygonal surfaces with arbitrary topology and the other for quadratic splines associated wit...
متن کاملA Combinatorial Characterization of Tight Fusion Frames
In this paper we give a combinatorial characterization of tight fusion frame (TFF) sequences using Littlewood-Richardson skew tableaux. The equal rank case has been solved recently by Casazza et al. [8]. Our characterization does not have this limitation. We also develop some methods for generating TFF sequences. The basic technique is a majorization principle for TFF sequences combined with sp...
متن کاملConstructing a Large Family of Equiangular Tight Frames
We provide a new method for constructing equiangular tight frames (ETFs). This method is valid in both the real and complex settings, and shows that many of the few previously-known examples of ETFs are but the first representatives of infinite families of such frames. The construction is extremely simple: a tensor-like combination of a Steiner system and a regular simplex. It provides great fr...
متن کاملtight frame approximation for multi-frames and super-frames
در این پایان نامه یک مولد برای چند قاب یا ابر قاب تولید شده تحت عمل نمایش یکانی تصویر برای گروه های شمارش پذیر گسسته بررسی خواهد شد. مثال هایی از این قاب ها چند قاب های گابور، ابرقاب های گابور و قاب هایی برای زیرفضاهای انتقال پایاست. نشان می دهیم که مولد چند قاب تنک نرمال شده (ابرقاب) یکتا وجود دارد به طوری که مینیمم فاصله را از ان دارد. همچنین مسایل مشابه برای قاب های دوگان مطرح شده و برخی ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2011
ISSN: 1063-5203
DOI: 10.1016/j.acha.2010.05.002