Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Improved L2-sensitivity for state-space digital system
IEEE Transactions on Signal Processing
Two-dimensional system optimal realizations withL2-sensitivity minimization
IEEE Transactions on Signal Processing
L2-sensitivity analysis and minimization of 2-D separable-denominator state-space digital filters
IEEE Transactions on Signal Processing
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The problem of minimizing an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints for two-dimensional (2-D) separable-denominator digital filters is formulated. The constrained optimization problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, an efficient quasi-Newton algorithm is applied with closed-form formula for gradient evaluation to solve the unconstrained optimization problem. The optimal filter structure is then constructed by employing the resulting coordinate transformation matrix that minimizes the L2-sensitivity measure subject to the scaling constraints. A numerical example is presented to illustrate the utility of the proposed technique.