Abstract
On InSAR Ambiguity Resolution For Deformation Monitoring
Highlights
Consider the system of observation equations y = Ax + Bz + e where y ∈ Rm is the vector of observations, x ∈ Rp and z ∈ Zn are the vectors of unknown parameters and e ∈ Rm is the noise vector
Note that the ’float’ solutions xand zwould not be unique in case matrix (A, B) is rank defect
From (2) follows that min x∈Rp,z ∈Z n min z ∈Z n. This shows that the least-squares solutions for x ∈ Rp and z ∈ Zn are given as z arg min z ∈Z n
Summary
The system contains insufficient information to compute a unique ’float’ solution for x and z This situation can be remedied by including data xo on the deformation rate x. That the model is of full rank, the method of the previous section can be applied again. This is the approach which has been followed in [Hanssen et al, 2001]. It is given as Qz = Qy + σx2aaT , from which the ADOP follows as This simple result can be used to get a quick impression of whether the model has enough strength for successful ambiguity resolution
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have