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

Arnaud Tisserand

doi:10.1109/MWSCAS.2007.4488593

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

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

Arnaud Tisserand

MWCAS/NEWCAS'07: 50th Internationall Midwest Symposium on Circuits & Systems/5th International Northeast Workshop on Circuits & Systems, pp.1-4

MWCAS/NEWCAS'07: 50th Internationall Midwest Symposium on Circuits & Systems/5th International Northeast Workshop on Circuits & Systems (Montréal, Canada, 08/2007)

08/2007

DOI: https://doi.org/10.1109/MWSCAS.2007.4488593

Résumé

computer arithmetic

reciprocal

polynomial approximation

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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Détails

Titre: Hardware Reciprocation using Degree-3 Polynomials but Only 1 Complete Multiplication
Créateurs - sans rôle: Arnaud Tisserand - Université de Montpellier
Détails de publication: MWCAS/NEWCAS'07: 50th Internationall Midwest Symposium on Circuits & Systems/5th International Northeast Workshop on Circuits & Systems, pp.1-4
Colloque: MWCAS/NEWCAS'07: 50th Internationall Midwest Symposium on Circuits & Systems/5th International Northeast Workshop on Circuits & Systems (Montréal, Canada, 08/2007)
Identifiants: 9943851109311
Unité académique: Laboratoire d'Informatique de Robotique et de Microélectronique de Mtp - LIRMM
Langue: English
Type de ressource: Conference proceeding
Champs locaux: lirmm-00153370