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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 18
  3. Journal of Fourier Analysis and Applications : Volume 18, Issue 1, February 2012
  4. Random Tight Frames
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 18, Issue 6, December 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 5, October 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 4, August 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 3, June 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 2, April 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 1, February 2012
Random Tight Frames
Periodicity of the Spectrum of a Finite Union of Intervals
Fourier Series with the Continuous Primitive Integral
Optimally Space Localized Polynomials with Applications in Signal Processing
Cardinal Interpolation with Gaussian Kernels
Compactly Supported Frames for Decomposition Spaces
Spectral Conditions for Strong Local Nondeterminism and Exact Hausdorff Measure of Ranges of Gaussian Random Fields
On the Representation of Functions with Gaussian Wave Packets
Concentration Problems for Bandpass Filters in Communication Theory over Disjoint Frequency Intervals and Numerical Solutions
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Random Tight Frames

Content Provider SpringerLink
Author Ehler, M.
Copyright Year 2011
Abstract We introduce probabilistic frames to study finite frames whose elements are chosen at random. While finite tight frames generalize orthonormal bases by allowing redundancy, independent, uniformly distributed points on the sphere approximately form a finite unit norm tight frame (FUNTF). In the present paper, we develop probabilistic versions of tight frames and FUNTFs to significantly weaken the requirements on the random choice of points to obtain an approximate finite tight frame. Namely, points can be chosen from any probabilistic tight frame, they do not have to be identically distributed, nor have unit norm. We also observe that classes of random matrices used in compressed sensing are induced by probabilistic tight frames.
Ending Page 20
Page Count 20
Starting Page 1
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 1
Volume Number 18
Language English
Publisher SP Birkhäuser Verlag Boston
Publisher Date 2011-06-02
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Abstract Harmonic Analysis Frames Mathematical Methods in Physics Fourier Analysis Signal, Image and Speech Processing Probability Optimal configurations Approximations and Expansions General harmonic expansions, frames Partial Differential Equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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