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

Thibault Hilaire (1)

1 PEQUAN - Performance et Qualité des Algorithmes Numériques

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.

Domaines: Informatique [cs]

Thibault Hilaire. On the Transfer Function Error of State-Space Filters in Fixed-Point Context. IEEE Transactions on Circuits and Systems II: Express Briefs, 2009, 56 (12), pp.936-940. ⟨10.1109/TCSII.2009.2034193⟩. ⟨hal-01146515⟩