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Sparsity in Time-frequency Representations by Pfander, Goetz E.; Rauhut, Holger is a scholarly article available to read on EtoBox.

What is Sparsity in Time-frequency Representations about?

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 $\mathbb{C}^n$ with respect to a random unimodular window can be recovered by Basis Pursuit with high probability provided that $S\leq Cn/\log(n)$. 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.

Author

Pfander, Goetz E.; Rauhut, Holger

Published

2007

Language

EN