Smooth output reconstruction for linear systems with quantized measurements

Hongzhong Zhu, Toshiharu Sugie, Hiroshi Fujimoto

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1039-1049
Number of pages11
JournalAsian Journal of Control
Issue number3
Publication statusPublished - May 1 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


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