Journal of Xidian University ›› 2019, Vol. 46 ›› Issue (3): 14-19.doi: 10.19665/j.issn1001-2400.2019.03.003

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Adaptive quasi-newton projection algorithm for sparse recovery

ZHOU Xueqin1,2,FENG Xiangchu1,JING Mingli3   

  1. 1. School of Mathematics and Statistics, Xidian Univ., Xi’an 710071, China;
    2. School of Statistics, Xi’an Univ. of Finance and Economics, Xi’an 710100, China;
    3. School of Electronic Engineering, Xi’an Shiyou Univ., Xi’an 710065, China;
  • Received:2018-11-09 Online:2019-06-20 Published:2019-06-19

Abstract:

An adaptive quasi-Newton projection sparse restoration algorithm is proposed to solve the problem that greedy algorithms need to know the sparsity in advance. The algorithm consists of two layers: the sparsity of the signal is estimated by using the threshold operator in the outer loop, and the sparse signal is recovered based on the quasi-Newton projection algorithm under the current sparsity of the outer iterative estimation in the inner loop. Simulation results show that this method has a better approximation performance and recovery rate of sparse signals with unknown sparsity compared with the greedy algorithms with known sparsity in advance.

Key words: sparse recovery, compressed sensing, adaptive, quasi-Newton, projection

CLC Number: 

  • TN919.6