The interferometric phase of each target j in each interferogram i contains the following phase components [2]:��i,j=��i,j+��topo_res,i,j+vi,j+Ei,j(1)where �� contains Atmospheric Phase Screen (APS) and the orbital errors, topo_res contains the correction for the actual target height in relation to the used DEM, v contains the deformation velocity of the radar more info target and E contains the effect of other components, namely non linear atmospheric disturbances, noise due to temporal and spatial decorrelation and non linear target movement.The equation must be applied to tiles of small dimensions which will allow the estimation of the APS and the orbital errors by a 2-D linear phase approximation.

Therefore the term �� in each target j, in each interferogram i, in each tile t can be estimated as:��i,jt=p��,it��j+p��,it��j+cit(2)where Inhibitors,Modulators,Libraries p��, p�� denote the slope values along the azimuth (��) and the slant range (��) respectively and c denotes the constant values of the 2-D linear phase approximation.Consequently the next step was to divide the area of interest into tiles. The test area was divided into 800 tiles each having dimensions of 500 pixels in azimuth and 100 pixels in range, covering an area of ~4 km2. About 200,000 targets having DI<0.33 were identified from all tiles as a first selection of PSCs, denoted as PSCs(1). Proceeding to subsequent algorithm iterations this set was reduced to PSC(n), with the index n indicating the number of the iteration.

The Inhibitors,Modulators,Libraries calculation of the APS and the orbital errors (term �� of equation 1) at each tile (equation 2) and a first Inhibitors,Modulators,Libraries estimate for the inherent Inhibitors,Modulators,Libraries DEM errors (term topo of equation 1) and deformation velocities (term v of equation 1) for each PSC was performed by using a successive approximation algorithm [2, 10]. At each iteration step these values were calculated by solving a non-linear system since interferometric phase is known in modulo-2�� [11]. The estima
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