Principal Component Analysis in Radar Polarimetry
Danklmayer, Andreas and Chandra, Madhu and Lüneburg, Ernst (2005) Principal Component Analysis in Radar Polarimetry. In: Advances of Radio Science - Volume 3, Kleinheubacher Berichte 2004. URSI. Kleinheubacher Tagung 2004, 2004-09-27 - 2004-10-01, Miltenberg.
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Second order moments of multivariate (often Gaussian) joint probability density functions can be described by the covariance or normalised correlation matrices or by the Kennaugh matrix (Kronecker matrix). In Radar Polarimetry the application of the covariance matrix is known as target decomposition theory, which is a special application of the extremely versatile Principle Component Analysis (PCA). The basic idea of PCA is to convert a data set, consisting of correlated random variables into a new set of uncorrelated variables and order the new variables according to the value of their variances. It is important to stress that uncorrelatedness does not necessarily mean independent which is used in the much stronger concept of Independent Component Analysis (ICA). Both concepts agree for multivariate Gaussian distribution functions, representing the most random and least structured distribution. In this contribution, we propose a new approach in applying the concept of PCA to Radar Polarimetry. Therefore, new uncorrelated random variables will be introduced by means of linear transformations with well determined loading coefficients. This in turn, will allow the decomposition of the original random backscattering target variables into three point targets with new random uncorrelated variables whose variances agree with the eigenvalues of the covariance matrix. This allows a new interpretation of existing decomposition theorems.
|Document Type:||Conference or Workshop Item (Speech, Paper)|
|Title:||Principal Component Analysis in Radar Polarimetry|
|Journal or Publication Title:||Advances of Radio Science - Volume 3, Kleinheubacher Berichte 2004|
|Keywords:||Radar Polarimetry, PCA|
|Event Title:||Kleinheubacher Tagung 2004|
|Event Type:||national Conference|
|Event Dates:||2004-09-27 - 2004-10-01|
|HGF - Research field:||Aeronautics, Space and Transport|
|HGF - Program:||Space|
|HGF - Program Themes:||W - no assignement|
|DLR - Research area:||Space|
|DLR - Program:||W - no assignement|
|DLR - Research theme (Project):||W -- no assignement (old)|
|Institutes and Institutions:||Microwaves and Radar Institute > Microwave Systems|
|Deposited By:||Dr.-Ing. Andreas Danklmayer|
|Deposited On:||31 Jan 2006|
|Last Modified:||27 Apr 2009 04:57|
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