On the Stochastic Model for InSAR Single Arc Point Scatterer Time Series
W.S. Brouwer (TU Delft - Mathematical Geodesy and Positioning)
Yuqing Wang (TU Delft - Mathematical Geodesy and Positioning)
FJ Van Leijen (TU Delft - Mathematical Geodesy and Positioning)
R. F. Hanssen (TU Delft - Mathematical Geodesy and Positioning)
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Abstract
InSAR enables the estimation of displacements of (objects on) the earth's surface. To provide reliable estimates, both a stochastic and mathematical model are required. However, the intrinsic problem of InSAR is that both are unknown. Here we derive the Variance-Covariance Matrix (VCM) for double differenced phase observations for an arc, i.e., the phase difference between two points relative to a reference epoch. Using the Normalized Amplitude Dispersion we subdivide the time series in multiple partitions. The method results in a more realistic stochastic model, and consequently more realistic and reliable displacement parameters. The stochastic model also allows to make statements on the precision and reliability of the estimated parameters.