Analog to Digital Conversion in Physical Measurements

Details Analog to Digital Conversion in Physical Measurements Analog to Digital Conversion in Physical Measurements

1999-01-26

arxiv.org/abs/chao-dyn/9901028v1

Chaos Sol.Fract. 11 (2000) 1247-1252

Nonlinear Sciences

Chaotic Dynamics

9 pages in LATEX, 4 figures in ps.; submitted to 'Chaos, Solitons & Fractals"

Scientific paper

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 tent map which are realized in specific analog/digital converters. Furthermore, we discuss the sources of errors that are inevitable in physical realizations of such systems and suggest methods for error reduction.

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