Compact Polarimetric Decomposition

Compact Polarimetric Decomposition Operator

   This operator performs the following decompositions on compact pol data:
   The operator first computes Stokes vector [g0, g1, g2, g3] for each pixel from the averaged covariance matrix, then performs user selected decomposition.
m-chi Decomposition:
 
where

m-delta decomposition:

where


H-Alpha decomposition:



The wave entropy is computed from the eigen decomposition of the 2x2 covariance matrix C 2 . Let λ 1 and λ 2 be the two eigen values, the entropy is given by


where

The compact pol anisotropy is defined by


RVOG decomposition:

Model-Free 3-Component Decomposition (MF3CC)

Model-free 3 component decomposition technique [4] does not consider any volume model for the computation of the three scattering power components. The scattering power components are roll-invariant. The total power is conserved after decomposition and all the scattering power components are non-negative. The target scattering type parameter is represented as:

where, &#920 CP is the target characterization parameter which varies from -45 to 45 degrees, m CP is the 2D Barakat degree of polarization, S 0 , S 1 , S 2 and S 3 are the elements of the Stokes vector and S 0 is the total power of covariance matrix C 2 .

The scattering power components are:


P d CP is the even bounce power component, P s CP is the odd bounce power component and P v CP is the diffused power component.

Input and Output

Parameters Used

   The following processing parameters are needed (see Figure 1):


                                                       
                 Figure 1. Dialog box for Compact Polarimetric Decomposition operator


Reference: 

[1] R. K. Raney, J. T. S. Cahill, G. W. Patterson, and B. J. Bussey, "The m-chi decomposition of hybrid dual-polarimetric radar data with application to lunar craters", Journal of Geophysical Research, Vol. 117, E00H21, doi:10.1029/2011JE003986, 2012.

[2] R. K. Raney, "Hybrid-Polarity SAR Architecture", IEEE transaction on Geoscience and Remote Sensing, Vol. 45, No. 11, Nov, 2007.

[3] S. R. Cloude, D. G. Goodenough, H. Chen, "Compact Decomposition Theory", IEEE Geoscience and Remote Sensing Letters, Vol. 9, No. 1, Jan. 2012.

[4] S. Dey, A. Bhattacharya, D. Ratha, D. Mandal and A. C. Frery, 2020. “Target characterization and scattering power decomposition for full and compact polarimetric SAR data”, IEEE Transactions on Geoscience and Remote Sensing, 59(5), pp.3981-3998.