Normal realizations of IIR digital filters
- 24 March 2005
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 4, 340-343
- https://doi.org/10.1109/icassp.1979.1170710
Abstract
Normal realizations of IIR digital filters possess many desirable properties including freedom from overflow oscillations, low coefficient sensitivity, and invariance of form and roundoff noise under frequency transformations of the filter. Normal realizations are closely related to minimal roundoff noise structures. Given a state variable model {A,b,c,d} of a filter, we define a normal structure as a filter whose A matrix satisfies AAT=ATA. This paper develops design equations and roundoff noise equations for normal and minimal roundoff noise filters in terms of the poles and zeros of the filter transfer function. The development has geometric interpretations which yield additional insights into low roundoff noise structures.Keywords
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