Numeric Function Generators

Abstract

We show the architecture and design of a numeric function generator that realizes, at high speed, arithmetic functions, like log x, sin x, 1 x , etc.. This approach is general; different circuits are not needed for different functions. Further, composite functions, like log (sin ( 1 x )) can be realized as easily as individual functions. A tutorial description of the method is presented, followed by descriptions of the design considerations that must be made. For example, we discuss how circuit complexity increases as the desired approximation error decreases. Also, we discuss enhancements of the basic numeric function generator approach, including higher order polynomial approximations, floating point, and multi-variable implementations.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2009
Accession Number
ADA548355

Entities

People

  • J. T. Butler
  • S. Nagayama
  • T. Sasao

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Algorithms
  • Calculators
  • Coders
  • Coding
  • Computations
  • Computer Vision
  • Computers
  • Errors
  • Generators
  • Information Operations
  • Mathematics
  • Polynomials
  • Precision
  • Standards

Readers

  • Approximation Theory.
  • Computer Programming and Software Development.
  • Computer Science.