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Reliable implementation of linear filters with fixed-point arithmetic

Thibault Hilaire 1 Benoit Lopez 1
1 PEQUAN - Performance et Qualité des Algorithmes Numériques
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : This article deals with the implementation of linear filters or con-trollers with fixed-point arithmetic. The finite precision of the com-putations and the roundoff errors induced may have an important impact on the numerical behavior of the implemented system. More-over, the fixed-point transformation is a time consuming and error-prone task, specially with the objective of minimizing the quantiza-tion impact. Based on a formalism able to describe every structure of linear fil-ters/controllers, this paper proposes an automatic method to generate fixed-point version of the inputs-to-outputs algorithm and an analy-sis of the global error added on the output. An example illustrates the approach.
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Submitted on : Monday, October 20, 2014 - 10:36:48 PM
Last modification on : Thursday, March 21, 2019 - 1:13:42 PM
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Thibault Hilaire, Benoit Lopez. Reliable implementation of linear filters with fixed-point arithmetic. Signal Processing Systems (SiPS), Oct 2013, Taipei, Taiwan. pp.401 - 406, ⟨10.1109/SiPS.2013.6674540⟩. ⟨hal-01076048⟩

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