Journal Article Smooth Output Reconstruction for Linear Systems with Quantized Measurements

Zhu, Hongzhong  ,  Sugie, Toshiharu  ,  Fujimoto, Hiroshi

17 ( 3 )  , pp.1039 - 1049 , 2015-05 , wiley
Article first published online: 31 JUL 2014
This paper presents a novel approach to reconstruct the output of linear systems in the case where the measured output is uniformly quantized. By fitting the quantized measurements with polynomials in a moving horizon manner, a smooth signal is reconstructed by solving a convex optimization problem with ℓ1-norm regularization. The quantization feature and the system models are taken into account in the optimization. A numerical example is given to show the excellent reconstruction performance of the proposed method. In addition, the proposed method is implemented in a high-precision linear stage through DSP, and its effectiveness is verified through experiments using a real positioning system.

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