@ARTICLE\{IMM2003-01219, author = "K. Conradsen and A. A. Nielsen and J. Schou and H. Skriver", title = "A test statistic in the complex Wishart distribution and its application to change detection in polarimetric {SAR} data", year = "2003", month = "jan", keywords = "covariance matrix test data, {EMISAR,} radar applications, radar polarimetry, remote sensing change detection.", pages = "4-19", journal = "{IEEE} Transactions on Geoscience and Remote Sensing", volume = "41", editor = "", number = "1", publisher = "", note = "Typos: 1) eq (5) and just below eq (6): w should be x; 2) just before eq (24) vs just below eq (66): when p refers to the dimension of the covariance matrix, the p's are added, when p refers to the number of degrees of freedom, their squares are added; 3) eq (52): m/n should be n/m; immediately above eq (52): Y/X should be (Y/m)/(X/n).", url = "http://ieeexplore.ieee.org/Xplore/RecentIssue.jsp?Punumber=36", abstract = "When working with multilook fully polarimetric synthetic aperture radar (SAR) data, an appropriate way of representing the backscattered signal consists of the so-called covariance matrix. For each pixel, this is a 3x3 Hermitian positive definite matrix that follows a complex Wishart distribution. Based on this distribution, a test statistic for equality of two such matrices and an associated asymptotic probability for obtaining a smaller value of the test statistic are derived and applied successfully to change detection in polarimetric {SAR} data. In a case study, {EMISAR} {L-}band data from April 17, 1998 and May 20, 1998 covering agricultural fields near Foulum, Denmark are used. Multilook full covariance matrix data, azimuthal symmetric data, covariance matrix diagonal-only data, and horizontal–horizontal (HH), vertical–vertical (VV), or horizontal–vertical (HV) data alone can be used. If applied to {HH,} {VV,} or {HV} data alone, the derived test statistic reduces to the well-known gamma likelihood-ratio test statistic. The derived test statistic and the associated significance value can be applied as a line or edge detector in fully polarimetric {SAR} data also.", isbn_issn = "DOI:10.1109/TGRS.2002.808066" }