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Evaluation analytique de la précision des systèmes en virgule fixe

Romuald Rocher 1 Daniel Ménard 1 Olivier Sentieys 1 Pascal Scalart 1
1 R2D2 - Reconfigurable and Retargetable Digital Devices
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes, ENSSAT - École Nationale Supérieure des Sciences Appliquées et de Technologie
Abstract : To satisfy cost constraints, application implementation in embedded systems requires fixed-point arithmetic. Thus, applications defined in floating-point arithmetic must be converted into a fixed-point specification. This conversion requires accuracy evaluation to ensure algorithm integrity. Indeed, fixed-point arithmetic generates quantization noises due to bit elimination during a cast operation. These noises are propagated through the system and modify computing accuracy. In this paper, an accuracy evaluation model based on an analytical approach is presented and valid for all systems including arithmetic operations. The LMS algorithm example is developed and its validity is verified through experimentations.
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Submitted on : Friday, January 29, 2010 - 9:46:26 AM
Last modification on : Tuesday, June 15, 2021 - 4:22:13 PM


  • HAL Id : inria-00451422, version 1


Romuald Rocher, Daniel Ménard, Olivier Sentieys, Pascal Scalart. Evaluation analytique de la précision des systèmes en virgule fixe. 21ème Colloque GRETSI, Sep 2007, Troyes, France. ⟨inria-00451422⟩



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