Sparsity in time-frequency representations

Journal of Fourier Analysis and Applications, no. 2 (2007): 233-260

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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 ℂ n 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 channe...更多

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