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Frame properties of low autocorrelation random sequences
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Somantika Datta
Published/Copyright:
September 27, 2014
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 ℂd. Using recent theory of non-asymptotic analysis of random matrices, the eigenvalue distribution of the corresponding frame operator is studied.
Funding source: AFOSR
Award Identifier / Grant number: FA9550-10-1-0441
Received: 2014-6-13
Accepted: 2014-9-12
Published Online: 2014-9-27
Published in Print: 2014-11-1
© 2014 by De Gruyter
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Articles in the same Issue
- Frontmatter
- On the properties and (generalized) inverses of (r,s)-pair circulant matrices
- On the stability of the generalized mixed trigonometric functional equations
- A note on nilpotent rings
- Compactness via the Berezin transform of radial operators on the generalized Fock spaces
- Frame properties of low autocorrelation random sequences
Articles in the same Issue
- Frontmatter
- On the properties and (generalized) inverses of (r,s)-pair circulant matrices
- On the stability of the generalized mixed trigonometric functional equations
- A note on nilpotent rings
- Compactness via the Berezin transform of radial operators on the generalized Fock spaces
- Frame properties of low autocorrelation random sequences
