SCIENCE CHINA Information Sciences, Volume 62 , Issue 5 : 052203(2019) https://doi.org/10.1007/s11432-018-9604-0

FIR system identification with set-valued and precise observations from multiple sensors

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  • ReceivedJun 6, 2018
  • AcceptedSep 5, 2018
  • PublishedApr 2, 2019



This work was supported by National Key Research and Development Program of China (Grant No. 2016YFB0901902), National Natural Science Foundation of China (Grant Nos. 61803370, 61622309), and National Key Basic Research Program of China (973 Program) (Grant No. 2014CB845301).


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  • Figure 1

    (Color online) Two FIR systems have same periodic inputs. (a) The estimation results of parameter $\theta$ including $\hat{\theta}_{N_1}$ (LS), $\hat{\theta}_{N_2}$ (set-value) and $\hat{\theta}_Q$ (QCCE); (b) the asymptotic efficiency of estimation error of the QCCE by the evaluation criterion $E(\hat{\theta}_Q-\theta)^{\rm~T}(\hat{\theta}_Q-\theta)$ with 500 replicated simulations.

  • Figure 2

    (Color online) Two FIR systems have different periodic inputs and the sample size of precise observations is fixed. (a) The estimation results of parameter $\theta$ including $\hat{\theta}_{N_2}$ (set-value) and $\hat{\theta}_Q$ (QCCE); (b) the asymptotic efficiency of estimation error of the QCCE by the evaluation criterion $E(\hat{\theta}_Q-\theta)^{\rm~T}(\hat{\theta}_Q-\theta)$ with 500 replicated simulations.