E. J. Candès, “The Restricted Isometry Property and Its Implications for Compressed Sensing,” Comptes Rendus Mathematique, Vol. 346, No. 9-10, May 2008, pp. 589- 592. doi:10.1016/j.crma.2008.03.014

has been cited by the following article:

• TITLE: Fast Sparse Multipath Channel Estimation with Smooth L0 Algorithm for Broadband Wireless Communication Systems

  AUTHORS: Guan Gui, Qun Wan, Ni Na Wang, Cong Yu Huang

  KEYWORDS: Smooth L0 Algorithm, Restricted Isometry Property, Sparse Channel Estimation, Compressed Sensing

  JOURNAL NAME: Communications and Network, Vol.3 No.1, February 25, 2011

  ABSTRACT: Broadband wireless channels are often time dispersive and become strongly frequency selective in delay spread domain. Commonly, these channels are composed of a few dominant coefficients and a large part of coefficients are approximately zero or under noise floor. To exploit sparsity of multi-path channels (MPCs), there are various methods have been proposed. They are, namely, greedy algorithms, iterative algorithms, and convex program. The former two algorithms are easy to be implemented but not stable; on the other hand, the last method is stable but difficult to be implemented as practical channel estimation problems be-cause of computational complexity. In this paper, we introduce a novel channel estimation strategy using smooth L0 (SL0) algorithm which combines stable and low complexity. Computer simulations confirm the effectiveness of the introduced algorithm. We also give various simulations to verify the sensing training signal method.