282 articles – 2121 Notices  [english version]
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A VLSI circuit for on-line polynomial computing: application to exponential, trigonometric and hyperbolic functions
Skaf A. et al
IFIP-Transactions-A-Computer-Science-and-Technology A-42 (1994) 93-100 - http://hal.archives-ouvertes.fr/hal-00014954
A. Skaf1, Jean-Claude Bajard ()2, A. Guyot1, Jean-Michel Muller2
1 :  TIMA - Techniques of Informatics and Microelectronics for integrated systems Architecture
http://tima.imag.fr/
CNRS : UMR5159 – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
46 Av Félix Viallet 38031 GRENOBLE CEDEX 1
France
2 :  LIP - Laboratoire de l'Informatique du Parallélisme
http://www.ens-lyon.fr/LIP/
PRES Université de Lyon – CNRS : UMR5668 – INRIA – École Normale Supérieure (ENS) - Lyon – Université Claude Bernard - Lyon I (UCBL)
46 Allée d'Italie 69364 LYON CEDEX 07
France
Sciences de l'ingénieur/Micro et nanotechnologies/Microélectronique
A VLSI circuit for on-line polynomial computing: application to exponential, trigonometric and hyperbolic functions
Presents a novel flexible architecture for the on-line computation of most real functions approximated by the first terms of their Taylor expansions. An example of a 64 digit VLSI implementation is given for some usual functions such as exponential, sh, ch, sin and cos of a real x (with |x|<0.5, represented in a radix-two fixed point signed digit system) using a built-in coefficient table. Furthermore, the circuit universality is guaranteed by enabling the introduction of external coefficients corresponding to any polynomial of degree less than or equal to 15. The result is obtained, at up to 40 MHz frequency, with an on-line delay of 11.
Anglais

IFIP-Transactions-A-Computer-Science-and-Technology
internationale
1994
A-42
93-100

exponential-functions – trigonometric-functions – on-line-polynomial-computing – hyperbolic-functions – flexible-architecture – real-functions – Taylor-expansions – radix-two-fixed-point-signed-digit-system – built-in-coefficient-table – external-coefficients – 40-MHz
PACS 85.42