Numerical Simulation of Robust Recursive Least-Squares Wiener Estimators for Observations with Random Delays and Packet Dropouts in Systems with Uncertainties

Authors

  • Seiichi Nakamori Department of Technology, Faculty of Education, Kagoshima University, Japan

Keywords:

packet dropout, autoregressive model, delayed observation, Robust filter, robust fixed-point smoother

Abstract

This paper investigates the numerical estimation characteristics of the robust recursive least-squares (RLS) Wiener estimators by using the observed values with random delays, packet dropouts, and out-of-order packets for the systems with or without the uncertain parameters in the system matrix and the observation vector. The estimation characteristics are compared with the existing estimators.

  • The estimation accuracy of the robust RLS Wiener filter is superior to the RLS Wiener filter and fixed-point smoother.
  • The estimation accuracy of the robust RLS Wiener filter is superior to the RLS Wiener filter and fixed-point smoother, which are designed for the delayed and uncertain observations, except for the observation noise , provided that the signal exists in the observed values.
  • In the case of the observations with random delays and without including the uncertain parameters in the system matrix and the observation vector, the estimation accuracies of the robust RLS Wiener filter and fixed-point smoother are superior to the RLS Wiener filter and fixed-point smoother, which are designed for the delayed and uncertain observations.

It should be noted that the robust RLS Wiener estimators do not assume any knowledges of the probabilities of the random delays, and the uncertain parameters.

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References

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Nakamori, S. (1995). Recursive estimation technique of signal from output measurement data in linear discrete-time systems. IEICE Trans. Fundamentals of Electronics, Communication and Computer Sciences, E78-A (5), 600–607. https://search.ieice.org/bin/summary.php?category=A&id=e78-a_5_600&lang=E&year=1995

Nakamori, S. (2018). RLS Wiener filter and fixed-point smoother with randomly delayed or uncertain observations in linear discrete-time stochastic systems. Computer Reviews Journal, 1(1), 115–135. https://purkh.com/index.php/tocomp/article/view/61

Nakamori, S. (2019a). Robust RLS Wiener signal estimators for discrete-time stochastic systems with uncertain parameters. Frontiers in Signal Processing, 3(1), 1–18. http://www.isaacpub.org/images/PaperPDF/FSP_100020_2018122715095732518.pdf

Nakamori, S. (2019b). Robust RLS Wiener state estimators in linear discrete-time stochastic systems with uncertain parameters. Computer Reviews Journal, 4, 18–33. https://purkh.com/index.php/tocomp/article/view/355

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Published

2020-08-30

How to Cite

Seiichi Nakamori. (2020). Numerical Simulation of Robust Recursive Least-Squares Wiener Estimators for Observations with Random Delays and Packet Dropouts in Systems with Uncertainties. Computer Reviews Journal, 7, 29-40. Retrieved from https://purkh.com/index.php/tocomp/article/view/822

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Section

Research Articles