Abstract
A technique for reducing roundoff noise effects subject to l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -scaling constraints is developed for two-dimensional state-space digital filters by means of high-order error feedback and state-space realization. First, the roundoff noise gain is minimized subject to l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -scaling constraints by choosing the coordinate transformation matrices appropriately. Optimal high-order error-feedback matrices are then determined so as to minimize the roundoff noise gain in the two-dimensional state-space digital filter obtained via the coordinate transformation matrices. Finally a numerical example is presented to illustrate the utility of the proposed technique.
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