Steiner equiangular tight frames
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 …
Steiner equiangular tight frames
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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 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 …
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 … 網頁2007年10月15日 · An equiangular tight frame (ETF) is a d × N matrix that has unit-norm columns and orthogonal rows of norm N / d. Its key property is that the absolute inner products between pairs of columns are (i) identical and (ii) as small as possible. ETFs have applications in communications, coding theory, and sparse approximation.
網頁2024年1月1日 · In the prequel, we studied the relationship between 1-Grassmannian frames – unit-norm, tight frames with minimal coherence – and Grassmannian frames – minimizers of coherence among unit-norm frames where tightness is relaxed. 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
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 … broadway lion king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 . broadway lip gloss bulk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 … car battery green indicator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 … car battery group 124r網頁2012年3月1日 · We provide a new method for constructing equiangular tight frames (ETFs). The construction is valid in both the real and complex settings, and shows that … car battery group 24f網頁An equal norm frame is a unit norm frame if c = 1. A Parseval (or tight) unit norm frame is an orthonormal basis; such a frame satisfies Parseval's identity. Equiangular frames A frame is an equiangular frame if there is a constant c such that , = for eachi j. car battery group 121r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 … car battery gst rate