Analog to digital conversion in physical measurements

T Kapitaniak, K Zyczkowski, U Feudel, C Grebogi

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

There exist measuring devices where an analog input is converted into a digital output. Such converters can have a nonlinear internal dynamics. We show how measurements with such converting devices can be understood using concepts from symbolic dynamics. Our approach is based on a nonlinear one-to-one mapping between the analog input and the digital output of the device. We analyze the Bernoulli shift and the lent map which are realized in specific analog/digital (A/D) converters. Furthermore, we discuss the sources of errors that are inevitable in physical realizations of such systems and suggest methods for error reduction. (C) 2000 Elsevier Science Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)1247-1251
Number of pages5
JournalChaos, Solitons & Fractals
Volume11
Issue number8
Publication statusPublished - Jun 2000

Keywords

  • DYNAMICS
  • CHAOS

Cite this

Kapitaniak, T., Zyczkowski, K., Feudel, U., & Grebogi, C. (2000). Analog to digital conversion in physical measurements. Chaos, Solitons & Fractals, 11(8), 1247-1251.

Analog to digital conversion in physical measurements. / Kapitaniak, T ; Zyczkowski, K ; Feudel, U ; Grebogi, C .

In: Chaos, Solitons & Fractals, Vol. 11, No. 8, 06.2000, p. 1247-1251.

Research output: Contribution to journalArticle

Kapitaniak, T, Zyczkowski, K, Feudel, U & Grebogi, C 2000, 'Analog to digital conversion in physical measurements', Chaos, Solitons & Fractals, vol. 11, no. 8, pp. 1247-1251.
Kapitaniak T, Zyczkowski K, Feudel U, Grebogi C. Analog to digital conversion in physical measurements. Chaos, Solitons & Fractals. 2000 Jun;11(8):1247-1251.
Kapitaniak, T ; Zyczkowski, K ; Feudel, U ; Grebogi, C . / Analog to digital conversion in physical measurements. In: Chaos, Solitons & Fractals. 2000 ; Vol. 11, No. 8. pp. 1247-1251.
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