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On the Transfer Function Error of State-Space Filters in Fixed-Point Context

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1 Author(s)
Hilaire, T. ; Lab. of Comput. Sci. (LIP6), Univ. Pierre & Marie Curie of Paris, Paris, France

This brief presents a new measure used for the implementation of filters/controllers in state-space form. It investigates the transfer function deviation generated by the coefficient quantization. The classical L 2-sensitivity measure is extended with precise consideration on their fixed-point representation in order to make a more valid measure. By solving the related optimal realization problem, fixed-point accurate realizations in state-space form can be found.

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:56 ,  Issue: 12 )