Steiner equiangular tight frames
網頁Steiner equiangular tight frames Matthew Fickusa,∗, Dustin G. Mixonb, Janet C. Tremainc a Department of Mathematics and Statistics, Air Force Institute of Technology, Wright … 網頁Equiangular tight frames provide optimal packings of lines through the origin. We combine Steiner triple systems with Hadamard matrices to produce a new infinite family of …
Steiner equiangular tight frames
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網頁paper concerns equiangular tight frames (ETFs); writing F as an M×N matrix, we need the rows of F to be orthogonal and have constant norm, the columns of F to be unit norm, and … 網頁Steiner equiangular tight frames M Fickus, DG Mixon, JC Tremain Linear algebra and its applications 436 (5), 1014-1027, 2012 218 2012 Phase retrieval with polarization B Alexeev, AS Bandeira, M Fickus, DG Mixon SIAM Journal on Imaging Sciences 7 (1), 35 ...
網頁2024年3月6日 · We also develop a general framework of so-called harmonic BTFs and Steiner BTFs - which includes the equiangular cases, surprisingly, the development of … 網頁Steiner equiangular tight frames redux Abstract: An equiangular tight frame (ETF) is a set of unit vectors whose coherence achieves the Welch bound, and so is as incoherent as …
網頁2010年9月29日 · [1009.5730v1] Steiner equiangular tight frames We provide a new method for constructing equiangular tight frames (ETFs). construction is valid in both the … 網頁tions of equiangular tight frames from design geometries, Steiner systems, hyperovals, and projective planes. In Chapter 0.24, we will present two theorems which show the …
網頁Equiangular tight frame (ETF) – ETFs are the closest equivalent of orthonormal bases in terms of incoherence. All distinct pairs of column vectors of F have the same cross correlation tij, ETFs where shown to minimize the d-th order moments of a partially active setting [4]. More on the frames structure in the next chapter. 4.
網頁A. Steiner equiangular tight frames Throughout, let the field of scalars Fbe either Ror C, and let Hd be a d-dimensional inner product space overF. The synthesis operator of a … office 2013 standard vs professionalmy cat is having problems pooping網頁In combinatorial mathematics, a Steiner system (named after Jakob Steiner) is a type of block design, specifically a t-design with λ = 1 and t = 2 or (recently) t ≥ 2.A Steiner … office 2013 svg網頁[FMT12]Matthew Fickus, Dustin G. Mixon, and Janet C. Tremain, Steiner equiangular tight frames, Linear Algebra Appl. 436 (2012), no. 5, 1014{1027. MR 2890902 [GKK01]Vivek K. Goyal, Jelena Kova cevi c, and Jonathan A. Kelner, Quantized frame expansions with my cat is hiding but still eating網頁Steiner equiangular tight frames Janet Tremain 2012, Linear Algebra and its Applications Let F = {f n } N n=1 be a finite sequence of vectors in a real or complex M-dimensional Hilbert space H M . The corresponding frame operator is F F * = N n=1 f n f * n , where f * n denotes the linear functional that maps a given f ∈ H M to the scalar f, f n . my cat is having problems urinating網頁concept of optimally sparse frames was introduced in [9]. In addition, the infinite families of ETFs based on Steiner systems [12] are extremely sparse. In this paper, we propose a construction of sparse near-equiangular tight frames, which we re-fer to as Sparse office 2013 tienichmaytinh網頁An equiangular tight frame (ETF) is an M x N matrix which has orthogonal equal norm rows, equal norm columns, and the inner products of all pairs of columns have the same … my cat is having muscle spasms