On the optimal structure of 2-D digital filters with L2-sensitivity minimization

An expression is derived for the error variance of transfer function of a Two Dimensional system due to FWL errors, The optimal realization problem is then formulated by minimizing this variance with respect to all possible realizations of the system. This problem is shown to be equivalent to the minimization of a pure L
2
norm based sensitivity measure M
L2
, and can be sieved using any standard minimization algorithm with guaranteed convergence.