10th EAI International Conference on Mobile Multimedia Communications

Research Article

Sparsity Adaptive Joint Greedy Algorithm for Dual Signal Estimation

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  • @INPROCEEDINGS{10.4108/eai.13-7-2017.2270043,
        author={Xin Xu and Hongqing Liu and Xiaohua Peng and Xiaorong Jing},
        title={Sparsity Adaptive Joint Greedy Algorithm for Dual Signal Estimation},
        proceedings={10th EAI International Conference on Mobile Multimedia Communications},
        publisher={EAI},
        proceedings_a={MOBIMEDIA},
        year={2017},
        month={12},
        keywords={joint greedy algorithm signal reconstruction dual signal estimation impulsive noise},
        doi={10.4108/eai.13-7-2017.2270043}
    }
    
  • Xin Xu
    Hongqing Liu
    Xiaohua Peng
    Xiaorong Jing
    Year: 2017
    Sparsity Adaptive Joint Greedy Algorithm for Dual Signal Estimation
    MOBIMEDIA
    EAI
    DOI: 10.4108/eai.13-7-2017.2270043
Xin Xu1,*, Hongqing Liu1, Xiaohua Peng1, Xiaorong Jing1
  • 1: Chongqing University of Posts and Telecommunications
*Contact email: xinxu_kevin@outlook.com

Abstract

This paper presents two novel joint greedy algorithms for signal reconstruction in the case of impulsive noise. The performance of most existing greedy algorithms based on the assumption of Gaussian noise significantly deteriorates when the noise is impulsive noise that has heavy tails. To address the impulsive noise, in this work, it is modeled as α-stable distribution and formulated as a sparse signal in the time domain. Therefore, the noise suppression problem becomes an estimation one. With this reformulation, two methods by simultaneously estimating the signal of interest and noise are developed based on sparsity adaptive matching pursuit (SAMP). The numerical studies demonstrate that the proposed approaches provide excellent performance in both the signal recovery and noise suppression.