Reliable implementation of linear filters with fixed-point arithmetic

This article deals with the implementation of linear filters or controllers with fixed-point arithmetic. The finite precision of the computations and the roundoff errors induced may have an important impact on the numerical behavior of the implemented system. More-over, the fixed-point transformatio...

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Bibliographic Details
Main Authors: Hilaire, Thibault, Lopez, Benoit
Format: Conference Proceeding
Language:English
Subjects:
Algorithm design and analysis
code generation
Equations
error analysis
filter implementation
Fixed-point arithmetic
Hardware
Roundoff errors
Transfer functions
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Description
Summary:This article deals with the implementation of linear filters or controllers with fixed-point arithmetic. The finite precision of the computations 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 quantization impact. Based on a formalism able to describe every structure of linear filters/controllers, this paper proposes an automatic method to generate fixed-point version of the inputs-to-outputs algorithm and an analysis of the global error added on the output. An example illustrates the approach.
ISSN:2162-3562
2162-3570
DOI:10.1109/SiPS.2013.6674540