Compositional analysis of floating-point linear numerical filters
Résumé
Digital linear filters are used in a variety of applications (sound treatment, control/command, etc.), implemented in software, in hardware, or a combination thereof. For safety-critical applications, it is necessary to bound all variables and outputs of all filters. We give a compositional, effective abstraction for digital linear filters expressed as block diagrams, yielding sound, precise bounds for fixed-point or floating-point implementations of the filters.
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filters-cav05.pdf (225.47 Ko)
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transparents_cav05.pdf (434.75 Ko)
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