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Hardware Reciprocation using Degree-3 Polynomials but Only 1 Complete Multiplication

Arnaud Tisserand 1
1 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : This paper presents a dedicated operator for the reciprocal evaluation in hardware. It uses a degree-3 polynomial approximation that only requires one complete multiplication and a small number of additions or subtractions. The polynomial approximation is determined using a specific method for the choice of the coefficients and the splitting of the input interval. This leads to small and fast FPGA implementations.
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Arnaud Tisserand. Hardware Reciprocation using Degree-3 Polynomials but Only 1 Complete Multiplication. MWCAS/NEWCAS'07: 50th Internationall Midwest Symposium on Circuits & Systems/5th International Northeast Workshop on Circuits & Systems, Aug 2007, Montréal, Canada, pp.1-4, ⟨10.1109/MWSCAS.2007.4488593⟩. ⟨lirmm-00153370⟩

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