On the Use of Chaotic Dynamical Systems to Generate Pseudorandom Bitstreams

Abstract

There exist a variety of coding applications that require the generation of pseudorandom bitstreams. Such as sequences must meet the conflicting requirements that they be reliably repeatable as well as unpredictable. That is, neither knowledge of a small-sequence nor an imperfect knowledge of the initial conditions (i.e. the key) will be sufficient to recover the entire sequence. In this thesis we exploit the inherent unpredictability of a chaotic discrete dynamical system. Specifically, we develop a mapping of the Henon horseshoe attractor into the binary domain and demonstrate that the sequences produced meet specified criteria of pseudorandomness.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1993
Accession Number
ADA265445

Entities

People

  • James E. Heyman

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Classification
  • Coding
  • Computer Programming
  • Computers
  • Generators
  • Global Positioning Systems
  • Identification
  • Mathematics
  • Notation
  • Numbers
  • Real Numbers
  • Schools
  • Shift Registers
  • Sine Waves
  • United States

Fields of Study

  • Computer science

Readers

  • Computer Programming and Software Development.
  • Control Systems Engineering.
  • Systems Analysis and Design