Chaotic oscillations in dissipative and second‐order direct‐form II Digital Filters with a 2′s Complement Adder

Masayuki Kawamata, Shinji Sasaki, Tatsuo Higuchi

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1 Citation (Scopus)

Abstract

This paper studies the chaotic oscillations in a dissipative system generated by a second‐order directform II digital filter with a 2′s complement adder. the locus of this chaotic oscillation is absorbed into the parallel lines comprising the Cantor‐like set on the state space. In this paper, with respect to the chaotic oscillation, the initial value dependence of the locus, the output distribution, the power spectrum, the correlation function, and the fractal dimensions of the locus on the state space are investigated as the fundamental nature of the chaos. Also, by considering this filter as the two‐dimensional mapping, the mechanism generating the Cantorlike attractor is studied. From this study, it is shown that the 2′s complement adder characteristic has functions for stretching and folding of the state space causing the chaos. Also, the coefficient dependence of the Cantorlike attractor is studied and the relationship between the fractal dimensions of the locus and the coefficient are presented.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
Volume78
Issue number12
DOIs
Publication statusPublished - 1995 Dec

Keywords

  • 2′s complement adder
  • Cantor set
  • Chaotic oscillation
  • overflow oscillation
  • second‐order direct form II digital filter

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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