NDLI: Sigma delta modulation of a chaotic time series: a non-linear signal in a non-linear system

Content Provider	IEEE Xplore Digital Library
Author	Ushaw, G. McLaughlin, S.
Copyright Year	1994
Description	Author affiliation: Dept. of Electr. Eng., Edinburgh Univ., UK (Ushaw, G.; McLaughlin, S.)
Abstract	Sigma delta modulators are a form of analogue to digital converter used in a broad range of signal processing environments. There has been speculation recently that such devices may be capable of chaotic modes of operation. The first section of this paper examines this possibility. There is also a greater concern that, due to the non-linear nature of these devices, sigma-delta modulation of a chaotic signal may affect the long-term predictability of that signal. This is examined by considering a range of invariant geometric properties of a signal before and after sigma delta modulation, including the Lyapunov exponents and the correlation dimension. It is shown that, although the sigma delta modulator is not in itself a chaotic system, it can affect these geometric properties and therefore the predictability of the signal being measured.<>
Starting Page	63
Ending Page	66
File Size	360004
Page Count	4
File Format	PDF
ISBN	0780319486
DOI	10.1109/DSP.1994.379867
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-10-02
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Delta-sigma modulation Chaos Delta modulation Delay Differential equations Digital modulation Digital signal processing Cams Computer aided manufacturing CADCAM
Content Type	Text
Resource Type	Article

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