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Several techniques for minimizing an l2-sensitivity measure subject to l2-norm dynamic-range scaling constraints for state-space digital filters are compared. This comparison is carried out by solving a numerical example from the viewpoint of the convergence rate and the attained minimum value of an l2-sensitivity measure.
This paper investigates the problem of reducing the deviation from a desired transfer function caused by the coefficient quantization errors of a three-dimensional (3-D) separable-denominator digital filter. First, a 3-D transfer function with separable denominator is represented with the cascade connection of three one-dimensional (1-D) transfer functions by applying a minimal decomposition technique...
The minimization problem of frequency-weighted l2-sensitivity subject to l2-scaling constraints is formulated for two-dimensional (2-D) state-space digital filters described by the Roesser model. It is shown that the Fornasini-Marchesini second model can be readily imbedded in the Roesser model. An iterative method is developed to solve the constrained optimization problem. This method converts the...
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 linear-algebraic techniques. The unconstrained problem obtained...
The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algorithm...
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