Multi-channel optimal adaptive filtering for time-delay measurement systems

This paper is concerned with the multi-channel optimal adaptive filtering issues for time-delay measurements systems with unknown noise statistics. Firstly, the multi-channel time-delay system is reconstructed as an equivalent delay-free one by means of the measurement reorganization technique. Based on the altered system model, two adaptive filtering algorithms are developed by applying the projection theorem and two different noise estimation methods. Finally, an example is presented to illustrate the efficiency of proposed estimators.

[1]  Y.C. Soh,et al.  A reorganized innovation approach to linear estimation , 2004, IEEE Transactions on Automatic Control.

[2]  An Dong.  Study of Application of Adaptive Kalman Filter Technology in Integrated Navigation System , 2011 .

[3]  Vladimír Kucera.  New results in state estimation and regulation , 1981, Autom..

[4]  Jorma Rissanen.  Optimal Estimation , 2011, ALT.

[5]  Norbert Wiener,et al.  Extrapolation, Interpolation, and Smoothing of Stationary Time Series , 1964 .

[6]  T. Sudhakar,et al.  Adaptive filtering based on least mean square algorithm , 2013, 2013 Ocean Electronics (SYMPOL).

[7]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[8]  Norbert Wiener,et al.  Extrapolation, Interpolation, and Smoothing of Stationary Time Series, with Engineering Applications , 1949 .

[9]  Wen-an Zhang,et al.  Hinfinity filtering of network-based systems with random delay , 2009, Signal Process..

[10]  V. Rajamani,et al.  Least-squares state estimation in time-delay systems with colored observation noise: An innovations approach , 1975 .

[11]  Zidong Wang,et al.  H∞ filtering for nonlinear discrete-time stochastic systems with randomly varying sensor delays , 2009, Autom..

[12]  Jianqiu Zhang,et al.  An optimal adaptive filtering algorithm with a polynomial prediction model , 2010, Science China Information Sciences.

[13]  Chen Chen,et al.  Performance bounds of distributed adaptive filters with cooperative correlated signals , 2016, Science China Information Sciences.

[14]  Vladimír Kuera,et al.  Brief papers: New results in state estimation and regulation , 1981 .

[15]  M. Grimble.  Generalised Wiener and Kalman filters for uncertain systems , 1982, 1982 21st IEEE Conference on Decision and Control.

[16]  Qin Bin.  A Self-Tuning Kalman Filter with Input Estimation and Its Application , 1992 .

[17]  Anthony Tzes,et al.  Robust output feedback control of networked systems , 2007, 2007 European Control Conference (ECC).

[18]  Wei Shu-ping.  Research to RLS Algorithm of Adaptive Filter and Its DSP Realization , 2010 .