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 50 条
  • [1] Signal restoration combining Tikhonov regularization and multilevel method with thresholding strategy
    Deng, Liang-Jian
    Huang, Ting-Zhu
    Zhao, Xi-Le
    Zhao, Liang
    Wang, Si
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2013, 30 (05) : 948 - 955
  • [2] A modified Tikhonov regularization method
    Yang, Xiao-Juan
    Wang, Li
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 288 : 180 - 192
  • [3] Image Restoration Using Optimized Weiner Filtering Based on Modified Tikhonov Regularization
    Khetkeeree, Suphongsa
    Liangrocapart, Sompong
    2019 IEEE 4TH INTERNATIONAL CONFERENCE ON SIGNAL AND IMAGE PROCESSING (ICSIP 2019), 2019, : 1015 - 1020
  • [4] Parameter selections for Tikhonov regularization image restoration
    Zhang, Bin
    Jin, Fei
    2013 NINTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION (ICNC), 2013, : 1419 - 1423
  • [5] New Tikhonov Regularization for Blind Image Restoration
    Shi, Yuying
    Liu, Qiao
    Zhu, Yonggui
    IMAGE AND GRAPHICS (ICIG 2017), PT III, 2017, 10668 : 113 - 123
  • [6] Adaptive Arnoldi-Tikhonov regularization for image restoration
    Novati, Paolo
    Russo, Maria Rosaria
    NUMERICAL ALGORITHMS, 2014, 65 (04) : 745 - 757
  • [7] Adaptive Arnoldi-Tikhonov regularization for image restoration
    Paolo Novati
    Maria Rosaria Russo
    Numerical Algorithms, 2014, 65 : 745 - 757
  • [8] Application of Tikhonov regularization to the restoration of phase contrast images
    Zhou, Zhongxing
    Zhu, Qingzhen
    Gao, Feng
    Zhao, Huijuan
    Zhang, Lixin
    ADVANCED BIOMEDICAL AND CLINICAL DIAGNOSTIC SYSTEMS X, 2012, 8214
  • [9] Sylvester Tikhonov-regularization methods in image restoration
    Bouhamidi, A.
    Jbilou, K.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (01) : 86 - 98
  • [10] A MODIFIED TIKHONOV REGULARIZATION FOR STABLE ANALYTIC CONTINUATION
    Fu, Chu-Li
    Deng, Zhi-Liang
    Feng, Xiao-Li
    Dou, Fang-Fang
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (04) : 2982 - 3000
12345