An Information Theoretic Scheme for Sensor Allocation of Linear Least-Squares Estimation

説明

We consider a sensor allocation problem for the Kalman-Bucy filter within an information theoretic framework. For the signal and the observation of Kalman-Bucy filter, the mutual information between them is determined by the power of the signal component in the innovations process, and we cannot make the mutual information larger without increasing the power of this term in the innovations process. Under a constraint that the mean square power of the term takes a preassigned value, we consider the problem of finding the optimal gain matrix for the sensors that minimizes the least-squares estimation error. A set of equations which were derived in our previous paper is applied to obtain a recursive algorithm by which we can compute the optimal gain matrix. Numerical examples are given to illustrate the applicability of the proposed algorithm.

収録刊行物

詳細情報 詳細情報について

  • CRID
    1390001205584491520
  • NII論文ID
    130006960204
  • DOI
    10.11499/sicep.2002.0.119.0
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

問題の指摘

ページトップへ