Signed-Digit High Speed Transcendental Function Processor Architecture

Abstract

In support of the computation requirements of complex equations, a processor which can compute elementary transcendental functions with high throughput is becoming a hard requirement for many systems. In particular, the computation of components of the Vector Wave Equation are becoming bottlenecked by the reduced speed of the processor when computing the required elementary functions. To speed up the computation of these type of functions, a pipelined processor with high throughput is developed. This processor will compute Sine, Cosine, Tangent, Cotangent, Arctangent, Exponential, Natural Logarithm and Division as a minimum. The accuracy of the computations will be greater than IEEE double precision. The majority of the approximation algorithms are derived from Chebyshev Polynomials, due to their error characteristics and compatability with a pipelined processor. The only approximation algorithm not derived from Chebyshev Polynomials is the division algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1989
Accession Number
ADA209199

Entities

People

  • Robert A. Peterson

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Assimilation
  • Chebyshev Polynomials
  • Classification
  • Computations
  • Engineering
  • Frequency
  • Logarithm Functions
  • Numbers
  • Plastic Explosives
  • Prime Numbers
  • Real Numbers
  • Redundancy
  • Simulations
  • Standards
  • Time
  • Transcendental Functions

Readers

  • Approximation Theory.
  • Software Engineering