Frames and projections
TL;DR: The University of Missouri--Columbia, viewed on November 11, 2013 as discussed by the authors, view on the title page of the paper "The State of the State of Missouri: 2013".
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Abstract: Title from PDF of title page (University of Missouri--Columbia, viewed on November 11, 2013).
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Citations
Riesz outer product Hilbert space frames: Quantitative bounds, topological properties, and full geometric characterization
TL;DR: In this article, a detailed study of the family of outer product frames induced directly by vector sequences is presented, and the authors provide constructions of frames which produce Riesz outer product bases with “good” (or better) Riez bounds.
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•Dissertation
Sequences of rank-1 projections and Gabor tight fusion frames
Brian Tuomanen
- 01 Jan 2017
References
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Foundations of Time-Frequency Analysis
Karlheinz Gröchenig
- 15 Dec 2000
TL;DR: The topics range from the elemen- tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita- tive methods in time-frequency analysis and the theory of pseudodifferential operators.
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Grassmannian frames with applications to coding and communication
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TL;DR: The application of Grassmannian frames to wireless communication and to multiple description coding is discussed and their connection to unit norm tight frames for frames which are generated by group-like unitary systems is discussed.
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Packing lines, planes, etc.: packings in Grassmannian spaces
TL;DR: In this paper, the problem of how to arrange n n-dimensional subspaces of m-dimensional Euclidean space so that they are as far apart as possible is addressed.
On signal reconstruction without phase
TL;DR: In this paper, the authors construct new classes of Parseval frames for a Hilbert space which allow signal reconstruction from the absolute value of the frame coefficients without using phase or its estimation.
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•Posted Content
Packing Lines, Planes, etc.: Packings in Grassmannian Space
TL;DR: A reformulation of the problem gives a way to describe n-dimensional subspaces of m-space as points on a sphere in dimension ½(m–l)(m+2), which provides a (usually) lowerdimensional representation than the Plucker embedding and leads to a proof that many of the new packings are optimal.
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