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Statistical Results for System Identification Based on Quantized Observations
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
NIRA Dynamics AB, Sweden.
2009 (English)In: Proceedings of the 15th IFAC Symposium on System Identification, 2009Conference paper (Refereed)
Abstract [en]

System identification based on quantized observations requires either approximations of the quantization noise, leading to suboptimal algorithms, or dedicated algorithms tailored to the quantization noise properties. This contribution studies fundamental issues in estimation that relate directly to the core methods in system identification. As a first contribution, results from statistical quantization theory are surveyed and applied to both moment calculations (mean, variance etc) and the likelihood function of the measured signal. In particular, the role of adding dithering noise at the sensor is studied. The overall message is that tailored dithering noise can considerably simplify the derivation of optimal estimators. The price for this is a decreased signal to noise ratio, and a second contribution is a detailed study of these effects in terms of the Cramér–Rao lower bound. The common additive uniform noise approximation of quantization is discussed, compared, and interpreted in light of the suggested approaches.

Place, publisher, year, edition, pages
Keyword [en]
System identification, Estimation, Quantization
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-95534ISBN: 978-3-902661-47-0OAI: diva2:635864
15th IFAC Symposium on System Identification, Saint-Malo, France, July, 2009
Available from: 2013-07-06 Created: 2013-07-06 Last updated: 2013-07-06

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Gustafsson, Fredrik
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Automatic ControlThe Institute of Technology
Control Engineering

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