MINIMIZATION OF L 2-SENSITIVITY FOR 2-D STATE-SPACE DIGITAL FILTERS SUBJECT TO L 2-SCALING CONSTRAINTS

A new approach to the problem of minimizing L2sensitivity subject to L2-norm scaling constraints for two-dimensional (2-D) state-space digital filters is proposed. Using linear-algebraic techniques, the problem at hand is converted into an unconstrained optimization problem, and the unconstrained problem obtained is then solved by applying an efficient quasi-Newton algorithm. Computer simulation results are presented to illustrate the effectiveness of the proposed technique.

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