L2-Sensitivity Minimization of 2-D Separable-Denominator State-Space Digital Filters Subject to L2-Scaling Constraints
نویسندگان
چکیده
Abstract: 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.
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Minimization of L2-sensitivity for L2-D separable-denominator state-space digital filters subject to L2-scaling constraints using a lagrange function and a bisection method
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