An FPGA Implementation of the Powering Function with Single Precision Floating-Point Arithm

Echeverría Aramendi, Pedro and López Vallejo, Marisa (2008). An FPGA Implementation of the Powering Function with Single Precision Floating-Point Arithm. In: "8th Conference on Real Numbers and Computers (RNC8)", 07/07/2008-09/07/2008, Santiago de Compostela, España. ISBN 978-84-691-4381-0.

Description

Title: An FPGA Implementation of the Powering Function with Single Precision Floating-Point Arithm
Author/s:
  • Echeverría Aramendi, Pedro
  • López Vallejo, Marisa
Item Type: Presentation at Congress or Conference (Article)
Event Title: 8th Conference on Real Numbers and Computers (RNC8)
Event Dates: 07/07/2008-09/07/2008
Event Location: Santiago de Compostela, España
Title of Book: Proceedings 8th Conference on Real Numbers and Computers (RNC8)
Date: 2008
ISBN: 978-84-691-4381-0
Subjects:
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Ingeniería Electrónica
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

n this work we present an FPGA implementation of a single-precision °oating-point arith- metic powering unit. Our powering unit is based on an indirect method that transforms xy into a chain of operations involving a logarithm, a multiplication, an exponential function and dedicated logic for the case of a negative base. This approach allows to use the full input range for the base and exponent without limiting the range of the exponent as in direct methods. A tailored hardware implementation is exploited to increase the accuracy of the unit reducing the relative errors of the operations while high performance is obtained taking advantage of the FPGA capabilities for parallel architectures. A careful design of the pipeline stages of the involved operators allows a clock cycle of 201.3 MHz on a Xilinx Virtex-4 FPGA

More information

Item ID: 4339
DC Identifier: http://oa.upm.es/4339/
OAI Identifier: oai:oa.upm.es:4339
Official URL: http://www.ac.usc.es/rnc8/
Deposited by: Memoria Investigacion
Deposited on: 24 Sep 2010 08:41
Last Modified: 20 Apr 2016 13:36
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