Reliable implementation of linear filters with fixed-point arithmetic
Résumé
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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