RLS wiener smoother from randomly delayed observations in linear discrete-time systems

著者

    • Nakamori, Seiichi

書誌事項

RLS wiener smoother from randomly delayed observations in linear discrete-time systems

Seiichi Nakamori

(Mathematics research developments series)

Nova Science Publishers, c2013

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注記

Includes bibliographical references (p. [89]-90) and index

内容説明・目次

内容説明

In this book, the new recursive least-squares (RLS) Wiener filter and fixed-point smoother are designed from randomly delayed observed values by one sampling time in linear discrete-time stochastic systems. The probability is given as a function of time. If the conditional probability is not a function of time, the length of the derivation for the RLS Wiener estimators becomes shorter than the current RLS Wiener algorithms for the fixed-point smoothing and filtering estimates. The proof for deriving the RLS Wiener fixed-point smoother and filter is shown in the case of the conditional probability as a function of time k. A numerical simulation example in Chapter 4 shows that the fixed-point smoothing and filtering algorithms, proposed in this book, are feasible. The RLS Wiener estimators do not use the information of the variance of the input noise and the input matrix in the state equation, in comparison with the estimation technique by the Kalman filter. Hence, the RLS Wiener estimation technique has an advantage that the estimation accuracy of the RLS Wiener estimators is not influenced by the estimation errors for the input noise variance and the input matrix.

目次

  • Summary
  • Introduction
  • Least-Squares Fixed-Point Smoothing Problem
  • RLS Wiener Estimation Algorithms
  • A Numerical Simulation Example
  • Conclusions
  • Appendix
  • References
  • Index.

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詳細情報

  • NII書誌ID(NCID)
    BB1251668X
  • ISBN
    • 9781624178184
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    92 p.
  • 大きさ
    23 cm
  • 件名
  • 親書誌ID
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