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

A VLSI circuit for on-line polynomial computing: application to exponential, trigonometric and hyperbolic functions

A. Skaf 1, Jean-Claude Bajard 2, A. Guyot 1, Jean-Michel Muller 2

(1994)

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.

1 :	Techniques of Informatics and Microelectronics for integrated systems Architecture (TIMA)
	CNRS : UMR5159 – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
2 :	Laboratoire de l'Informatique du Parallélisme (LIP)
	Université de Lyon – CNRS : UMR5668 – INRIA – École Normale Supérieure - Lyon – Université Claude Bernard - Lyon I

Domaine

:

Sciences de l'ingénieur/Micro et nanotechnologies/Microélectronique

Mots Clés : 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

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Contributeur : Lucie Torella <>

Soumis le : Mercredi 30 Novembre 2005, 16:08:40

Dernière modification le : Mercredi 23 Septembre 2009, 10:42:45