Titlebook: Excursions in Harmonic Analysis, Volume 1; The February Fourier Travis D. Andrews,Radu Balan,Kasso A. Okoudjou Book 2013 Springer Science+B

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Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembersangles near zero between the high-dimensional vectors. As a result, theoretical guarantees on the performance of standard pursuit algorithms like orthogonal matching pursuit (OMP) and basis pursuit (BP) do not apply. We evaluate the performance of OMP, BP, and a third algorithm, sparse demixing (SD)

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Theory of Passive Synthetic Aperture ImagingPassive synthetic aperture imaging uses sources of opportunity for illumination and moving receivers to measure scattered field. We consider passive airborne receivers that fly along arbitrary, but known, flight trajectories and static or mobile sources of opportunity transmitting two types of wavef

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Golay–Rudin–Shapiro Polynomials and Phased Arrays the array, and . is a set of weights. The linear combination . is the output of the “phased array”. Given unit vector ., if we let . then . and . for all .. The “phased array problem” is to find . such that . looks as much like a delta function as possible. We study this problem in the simplified c

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Multi-Resolution Geometric Analysis for Data in High Dimensions is sometimes assumed that the support of such probability distribution is well approximated by a set of low intrinsic dimension, perhaps even a low-dimensional smooth manifold. Samples are often corrupted by high-dimensional noise. We are interested in developing tools for studying the geometry of

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Harmonic Analysis of Databases and Matriceshe goal is to reorganize the matrix so that its entries exhibit smoothness or predictability relative to the tensor row column geometry. In particular we show that approximate bi-Holder smoothness follows from simple .. entropy conditions. We describe various applications both for the analysis of ma

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The Structure of Sidelobe-Preserving Operator Groupsps are shown to be helpful for efficient enumeration of codes by peak sidelobe level for a given . and given code length .. In the binary case, it is shown that there is a single Abelian group of order 8 generated by sidelobe-preserving operators. Furthermore, it is shown that shared symmetry in the

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Book 2013ray of mathematicians, engineers, and scientists in academia, industry, and government. .Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineer