DocumentCode :
1474309
Title :
The effects of quantization noise and sensor nonideality on digital differentiator-based rate measurement
Author :
Kavanagh, Richard C. ; Murphy, John M.D.
Author_Institution :
Dept. of Electr. Eng., Univ. Coll. Cork, Ireland
Volume :
47
Issue :
6
fYear :
1998
fDate :
12/1/1998 12:00:00 AM
Firstpage :
1457
Lastpage :
1463
Abstract :
This paper focuses on the nature of the rate error which arises when a first-order digital differentiator is applied to the output of a uniform quantizer for the purpose of rate estimation. The quantizer input is assumed to be a constant-rate signal which is subject to a uniformly distributed noise source. New formulae are presented for the corresponding rms and spectral error characteristics. The results are applicable to the signal processing of sensor outputs, exemplified by the shaft encoder-based velocity estimation of an almost uniformly rotating mass. Both computer-generated finite data sets and experimental data derived from encoder-based shaft velocity measurements are utilized to verify the theoretical results. The results described are also applicable to a more general class of systems which involve the digital differentiation of quantized, noise-affected signals, such as first-order sigma-delta modulators with nominally constant input
Keywords :
data acquisition; differentiating circuits; optical sensors; quantisation (signal); sigma-delta modulation; tachometers; computer-generated finite data sets; constant-rate signal; differentiator-based rate measurement; digital differentiator; first-order sigma-delta modulators; noise-affected signals; quantization noise; rate error; rate estimation; sensor nonideality; sensor outputs; shaft encoder-based velocity estimation; signal processing; spectral error characteristics; uniformly distributed noise source; Digital modulation; Noise measurement; Optical filters; Optical modulation; Optical sensors; Optical signal processing; Quantization; Shafts; Transducers; Velocity measurement;
fLanguage :
English
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9456
Type :
jour
DOI :
10.1109/19.746711
Filename :
746711
Link To Document :
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