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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