Separate/Joint Optimization of Error Feedback and Realization for Roundoff Noise Minimization in a Class of 2-D State-Space Digital Filters

Techniques for the separate/joint optimization of error-feedback and realization are developed to minimize the roundoff noise subject to l2-norm dynamic-range scaling constraints for a class of 2-D state-space digital filters. In the joint optimization, the problem at hand is converted into an unconstrained optimization problem by using linearalgebraic techniques. The unconstrained problem obtained is then solved by applying an efficient quasi-Newton algorithm. A numerical example is presented to illustrate the utility of the proposed techniques.