ESTIMATION OF HYPERSPECTRAL COVARIANCE MATRICES

被引:2
|
作者
Ben-David, Avishai [1 ]
Davidson, Charles E. [2 ]
机构
[1] Res Dev & Engn Command, Edgewood Chem Biol Ctr, Aberdeen Proving Ground, MD 21010 USA
[2] Sci & Technol Corp, Edgewood, MD 21040 USA
关键词
covariance matrices; eigenvalues and eigenfunctions; hyperspectral detection and signal processing algorithms; regularization;
D O I
10.1109/IGARSS.2011.6050188
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Estimation of covariance matrices is a fundamental step in hyperspectral remote sensing where most detection algorithms make use of the covariance matrix in whitening procedures. We present a simple method to improve the estimation of the eigenvalues of a sample covariance matrix. The method achieves two objectives simultaneously: improved estimation of eigenvalues and improved condition number (regularization). Our method is based on the Marcenko-Pastur law, theory of eigenvalue bounds, and energy conservation.
引用
收藏
页码:4324 / 4327
页数:4
相关论文
共 50 条
  • [1] ESTIMATION OF COVARIANCE MATRICES
    KOSHEVOY, VM
    [J]. RADIOTEKHNIKA I ELEKTRONIKA, 1986, 31 (10): : 1964 - 1974
  • [2] Eigenvalue Estimation of Hyperspectral Wishart Covariance Matrices From Limited Number of Samples
    Ben-David, Avishai
    Davidson, Charles E.
    [J]. IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2012, 50 (11): : 4384 - 4396
  • [3] ROBUST ESTIMATION OF COVARIANCE MATRICES
    REYNOLDS, RG
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (09) : 1047 - 1051
  • [4] On the estimation of structured covariance matrices
    Zorzi, Mattia
    Ferrante, Augusto
    [J]. AUTOMATICA, 2012, 48 (09) : 2145 - 2151
  • [5] Partial estimation of covariance matrices
    Elizaveta Levina
    Roman Vershynin
    [J]. Probability Theory and Related Fields, 2012, 153 : 405 - 419
  • [6] Partial estimation of covariance matrices
    Levina, Elizaveta
    Vershynin, Roman
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 2012, 153 (3-4) : 405 - 419
  • [7] ESTIMATION OF STRUCTURED COVARIANCE MATRICES
    BURG, JP
    LUENBERGER, DG
    WENGER, DL
    [J]. PROCEEDINGS OF THE IEEE, 1982, 70 (09) : 963 - 974
  • [8] STATIONARY COVARIANCE MATRICES FOR HYPERSPECTRAL POINT TARGET DETECTION
    Furth, Yoram
    Falik, Adi
    Rotman, Stanley R.
    [J]. IGARSS 2018 - 2018 IEEE INTERNATIONAL GEOSCIENCE AND REMOTE SENSING SYMPOSIUM, 2018, : 4245 - 4248
  • [9] ESTIMATION OF FUNCTIONALS OF SPARSE COVARIANCE MATRICES
    Fan, Jianqing
    Rigollet, Philippe
    Wang, Weichen
    [J]. ANNALS OF STATISTICS, 2015, 43 (06): : 2706 - 2737
  • [10] MCMC Estimation of Restricted Covariance Matrices
    Chan, Joshua Chi-Chun
    Jeliazkov, Ivan
    [J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2009, 18 (02) : 457 - 480