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

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 repr...

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Veröffentlicht in:	IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2009-12, Vol.56 (12), p.936-940
1. Verfasser:	Hilaire, T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Array signal processing Circuits Coefficient sensitivity Computer Science Control systems Controllers Deviation digital filter implementation Digital filters Digital signal processing Digital signal processors Errors Field programmable gate arrays fixed-point implementation Optimization Process control Quantization Representations Transfer functions
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Beschreibung
Zusammenfassung:	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.
ISSN:	1549-7747 1558-3791
DOI:	10.1109/TCSII.2009.2034193