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Frame properties of low autocorrelation random sequences

Frame properties of low autocorrelation random sequences Abstract The goal is to construct random frames and study properties of such frames. Starting with the construction of unimodular random sequences whose expected autocorrelations can be made arbitrarily low outside the origin, these random sequences are used to construct frames for ℂ d . Using recent theory of non-asymptotic analysis of random matrices, the eigenvalue distribution of the corresponding frame operator is studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

Frame properties of low autocorrelation random sequences

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Publisher
de Gruyter
Copyright
Copyright © 2014 by the
ISSN
1867-1152
eISSN
1869-6090
DOI
10.1515/apam-2014-0027
Publisher site
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Abstract

Abstract The goal is to construct random frames and study properties of such frames. Starting with the construction of unimodular random sequences whose expected autocorrelations can be made arbitrarily low outside the origin, these random sequences are used to construct frames for ℂ d . Using recent theory of non-asymptotic analysis of random matrices, the eigenvalue distribution of the corresponding frame operator is studied.

Journal

Advances in Pure and Applied Mathematics – de Gruyter

Published: Nov 1, 2014

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