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Generalised modal realisation as a practical and efficient tool for FWL implementation

Abstract : Finite word length (FWL) effects have been a critical issue in digital filter implementation for almost four decades. Although some optimisations may be attempted to get an optimal realisation with regards to a particular effect, for instance the parametric sensitivity or the round-off noise gain, the purpose of this article is to propose an effective one, i.e. taking into account all the aspects. Based on the specialised implicit form, a new effective and sparse structure, named rho-modal realisation, is proposed. This realisation meets simultaneously accuracy (low sensitivity, round-off noise gain and overflow risk), few and flexible computational efforts with a good readability (thanks to sparsity) and simplicity (no tricky optimisation is required to obtain it) as well. Two numerical examples are included to illustrate the rho-modal realisation's interest.
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https://hal.archives-ouvertes.fr/hal-00564076
Contributor : Yu Feng <>
Submitted on : Tuesday, February 8, 2011 - 12:35:58 AM
Last modification on : Friday, January 8, 2021 - 5:40:03 PM

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Yu Feng, Philippe Chevrel, Thibault Hilaire. Generalised modal realisation as a practical and efficient tool for FWL implementation. International Journal of Control, Taylor & Francis, 2011, 84 (1), pp.66-77. ⟨10.1080/00207179.2010.540714⟩. ⟨hal-00564076⟩

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