Sparse reconstruction by convex relaxation: Fourier and Gaussian measurements

@article{Rudelson2006SparseRB,
title={Sparse reconstruction by convex relaxation: Fourier and Gaussian measurements},
author={Mark Rudelson and Roman Vershynin},
journal={2006 40th Annual Conference on Information Sciences and Systems},
year={2006},
pages={207-212}
}

This paper proves best known guarantees for exact reconstruction of a sparse signal f from few non-adaptive universal linear measurements. We consider Fourier measurements (random sample of frequencies of f) and random Gaussian measurements. The method for reconstruction that has recently gained momentum in the sparse approximation theory is to relax thisâ€¦Â CONTINUE READING