Asymptotic Analysis of Complex LASSO via Complex Approximate Message Passing (CAMP)

@article{Maleki2013AsymptoticAO,
  title={Asymptotic Analysis of Complex LASSO via Complex Approximate Message Passing (CAMP)},
  author={Arian Maleki and Laura Anitori and Zai Yang and Richard G. Baraniuk},
  journal={IEEE Transactions on Information Theory},
  year={2013},
  volume={59},
  pages={4290-4308}
}
Recovering a sparse signal from an undersampled set of random linear measurements is the main problem of interest in compressed sensing. In this paper, we consider the case where both the signal and the measurements are complex-valued. We study the popular recovery method of l1-regularized least squares or LASSO. While several studies have shown that LASSO provides desirable solutions under certain conditions, the precise asymptotic performance of this algorithm in the complex setting is not… CONTINUE READING
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