The Null Space Pursuit Algorithm Based on an Arbitrary Order Differential Operator

被引：0
|
作者：
Xiao, Weiwei [1 ]
Xing, Taotao [1 ]
机构：
[1] North China Univ Technol, Beijing, Peoples R China
来源：
RECENT DEVELOPMENTS IN INTELLIGENT SYSTEMS AND INTERACTIVE APPLICATIONS (IISA2016) | 2017年 / 541卷
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Null space pursuit; Differential operator; Signal separation;
D O I：
10.1007/978-3-319-49568-2_2
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The Null Space Pursuit (NSP) algorithm based on the differential operator is an important method of signal denoising and signal separation. In this paper, we propose an arbitrary order differential operator and use it in a complex signal which is a sum of simple signal. By solving an optimization problem, we also estimate the parameters of the differential operator. Finally, we confirmed the practicability of the algorithm through experimental simulation.
引用
收藏
页码：10 / 15
页数：6
相关论文
共 50 条
  • [1] The Null Space Pursuit Algorithm based on an Arbitrary Even-Order Differential Operator
    Xiao, W. W.
    Guo, Y. X.
    [J]. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY AND MANAGEMENT SCIENCE (ITMS 2015), 2015, 34 : 436 - 438
  • [2] Null Space Pursuit: An Operator-based Approach to Adaptive Signal Separation
    Peng, Silong
    Hwang, Wen-Liang
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (05) : 2475 - 2483
  • [3] Research on Voltage Fluctuation and Flicker Extraction Method Based on Null Space Pursuit Algorithm
    Chen Xiaoying
    Yang Mengwei
    Jia Shuwen
    Jiang Lei
    Zhang Chao
    [J]. MATERIAL SCIENCE, CIVIL ENGINEERING AND ARCHITECTURE SCIENCE, MECHANICAL ENGINEERING AND MANUFACTURING TECHNOLOGY II, 2014, 651-653 : 2383 - 2385
  • [4] On Parameters Of Null Space Pursuit Based On Frequency Resolution
    Dong, Zhenhua
    Hu, Weiping
    [J]. 2012 5TH INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING (CISP), 2012, : 1449 - 1452
  • [5] A denoising method based on null space pursuit for infrared spectrum
    Gao, QingWei
    Zhu, De
    Sun, Dong
    Lu, YiXiang
    [J]. NEUROCOMPUTING, 2014, 137 : 180 - 184
  • [6] DEGENERATE DIFFERENTIAL-OPERATOR EQUATIONS OF HIGHER ORDER AND ARBITRARY WEIGHT
    Tepoyan, L.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (02)
  • [7] ON CORRECT SOLVABILITY OF ARBITRARY-ORDER DIFFERENTIAL-OPERATOR EQUATIONS
    BALALAYEV, MK
    [J]. DOKLADY AKADEMII NAUK SSSR, 1991, 317 (03): : 526 - 529
  • [8] Research on Medical Image Enhancement Algorithm Based on Local Fractional Order Differential Operator
    Deng, Shuxian
    Ge, Xinxin
    [J]. BASIC & CLINICAL PHARMACOLOGY & TOXICOLOGY, 2019, 124 : 70 - 71
  • [9] Reconstructed Interpolating Differential Operator Method with Arbitrary Order of Accuracy for the Hyperbolic Equation
    Lin, Shijian
    Luo, Qi
    Leng, Hongze
    Song, Junqiang
    [J]. AXIOMS, 2021, 10 (04)
  • [10] Sturm Type for Differential Equations of Arbitrary Order with Operator-Valued Coefficients
    Kholkin, A. M.
    Rofe-Beketov, F. S.
    [J]. AZERBAIJAN JOURNAL OF MATHEMATICS, 2013, 3 (02): : 3 - 44
12345