Sparsity in Time-Frequency Representations

被引：0
作者：
Götz E. Pfander
Holger Rauhut
机构：
[1] Jacobs University Bremen,School of Engineering and Science
[2] University of Bonn,Hausdorff Center for Mathematics & Institute for Numerical Simulation
来源：
Journal of Fourier Analysis and Applications | 2010年 / 16卷
关键词：
Time-frequency representations; Sparse representations; Sparse signal recovery; Basis Pursuit; Operator identification; Random matrices; 42C40; 15A52; 90C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider signals and operators in finite dimension which have sparse time-frequency representations. As main result we show that an S-sparse Gabor representation in ℂn with respect to a random unimodular window can be recovered by Basis Pursuit with high probability provided that S≤Cn/log (n). Our results are applicable to the channel estimation problem in wireless communications and they establish the usefulness of a class of measurement matrices for compressive sensing.
引用
收藏
页码：233 / 260
页数：27
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