Analytical Accuracy Evaluation of Fixed-Point Systems

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 some bits elimination during a cast operation. These noises propagate 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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https://hal.inria.fr/inria-00454534
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Romuald Rocher, Daniel Ménard, Olivier Sentieys, Pascal Scalart. Analytical Accuracy Evaluation of Fixed-Point Systems. EUSIPCO, Sep 2007, Poznan, Poland. pp.999-1003. ⟨inria-00454534⟩

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