Result: Second order function approximation using a single multiplication on FPGAs
Title:
Second order function approximation using a single multiplication on FPGAs
Authors:
Source:
FPL 2004 : field-programmable logic and applications (Antwerp, 30 August - 1 September 2004)Lecture notes in computer science. :221-230
Publisher Information:
Berlin: Springer, 2004.
Publication Year:
2004
Physical Description:
print, 15 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Logiciel, Software, Traitement des langages et microprogrammation, Language processing and microprogramming, Electronique, Electronics, Electronique des semiconducteurs. Microélectronique. Optoélectronique. Dispositifs à l'état solide, Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices, Circuits intégrés, Integrated circuits, Circuits intégrés par fonction (dont mémoires et processeurs), Integrated circuits by function (including memories and processors), Approximation fonction, Function approximation, Architecture reconfigurable, Reconfigurable architectures, Chemin critique, Critical path, Recorrido crítico, Conception circuit, Circuit design, Diseño circuito, Méthode minimax, Minimax method, Método minimax, Nouveauté, Novelty, Novedad, Problème minimax, Minimax problem, Problema minimax, Réseau porte programmable, Field programmable gate array, Red puerta programable, Synthèse fonction, Function synthesis, Síntesis función, Table conversion, Look up table, Tabla de consulta, Fonction élémentaire, Elementary function, Función elemental
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Laboratoire de l'Informatique du Parallélisme, École Normale Supérieure de Lyon, 46, allée d'Italie, 69364 Lyon, France
ISSN:
0302-9743
Rights:
Copyright 2004 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Electronics
Electronics
Accession Number:
edscal.16107518
Database:
PASCAL Archive
Further Information
This paper presents a new scheme for the hardware evaluation of elementary functions, based on a piecewise second order minimax approximation. The novelty is that this evaluation requires only one small rectangular multiplication. Therefore the resulting architecture combines a small table size, thanks to second-order evaluation, with a short critical path: Consisting of one table lookup, the rectangular multiplication, and one addition, the critical path is shorter than that of a plain first-order evaluation. Synthesis results for several functions show that this method outperforms all the previously published methods in both area and speed for precisions ranging from 12 to 24 bits and over.