Parameter Identification of GCML Based on Compressed Sensing
In this section, we first transform the parameter identification problem of GCML to the reconstruction problem in compressed sensing.
Given a GCML model described as (1) and M observed values [x.sub.t](i) of every lattice element i, where 1 [less than or equal to] t [less than or equal to] M, 1 [less than or equal to] i [less than or equal to] N, then the identification problem of (1) can be transformed into the reconstruction problem of an underdetermined linear system.
So the identification of GCML can be transformed into the reconstruction problem of an underdetermined linear system.
Therefore, we define the sensing matrix related to the GCML as A = (1/[alpha])B, where [alpha] = [max.sub.1[less than or equal to]i[less than or equal to]N] [[parallel][b.sub.i][parallel].sup.2.sub.2] .
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