Signal Restoration Combining Modified Tikhonov Regularization and Preconditioning Technology

被引:6
作者
Dou, Hong-Xia [1 ]
Li, Hou-Biao [1 ]
Fans, Qing-Yu [1 ]
Chen, Yi-Cheng [2 ]
机构
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Lehigh Univ, Dept Elect & Comp Engn, Bethlehem, PA 18015 USA
来源
IEEE ACCESS | 2017年 / 5卷
关键词
Signal deconvolution; modified Tikhonov regularization; preconditioner; KRONECKER PRODUCT APPROXIMATIONS; ILL-POSED PROBLEMS; IMAGE-RESTORATION; BOUNDARY-CONDITIONS; TOEPLITZ MATRICES; L-CURVE;
D O I
10.1109/ACCESS.2017.2767702
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The purpose of signal restoration is to acquire a clean signal from the degraded signal which contains blur and noise. In this paper, a modified Tikhonov regularization method based on the standard Tikhonov regularization matrix is proposed, and the corresponding preconditioner is designed to accelerate the convergence of the proposed algorithm. The proposed method shows the best performance than several competitive methods. In addition, the convergence speed is improved significantly.
引用
收藏
页码:24275 / 24283
页数:9
相关论文
共 29 条
  • [1] [Anonymous], 1996, REGULARIZATION INVER
  • [2] [Anonymous], 2003, ITERATIVE METHODS SP, DOI DOI 10.1137/1.9780898718003
  • [3] Bertsekas D. P., 2003, OPTIK INT J LIGHT EL
  • [4] Bjorck A, 1998, SIAM J MATRIX ANAL A, V19, P720
  • [5] Bjorck A, 1996, NUMERICAL METHODS LE
  • [6] L-curve and curvature bounds for Tikhonov regularization
    Calvetti, D
    Reichel, L
    Shuibi, A
    [J]. NUMERICAL ALGORITHMS, 2004, 35 (2-4) : 301 - 314
  • [7] Estimation of the L-curve via Lanczos bidiagonalization
    Calvetti, D
    Golub, GH
    Reichel, L
    [J]. BIT NUMERICAL MATHEMATICS, 1999, 39 (04) : 603 - 619
  • [8] A fast image recovery algorithm based on splitting deblurring and denoising
    Deng, Liang-Jian
    Guo, Huiqing
    Huang, Ting-Zhu
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 287 : 88 - 97
  • [9] Signal restoration combining Tikhonov regularization and multilevel method with thresholding strategy
    Deng, Liang-Jian
    Huang, Ting-Zhu
    Zhao, Xi-Le
    Zhao, Liang
    Wang, Si
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2013, 30 (05) : 948 - 955
  • [10] Wavelet-based two-level methods for image restoration
    Deng, Liang-Jian
    Huang, Ting-Zhu
    Zhao, Xi-Le
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (12) : 5079 - 5087