• DocumentCode
    914667
  • Title

    Estimation with finite memory

  • Author

    Roberts, Richard A. ; Tooley, John R.

  • Volume
    16
  • Issue
    6
  • fYear
    1970
  • fDate
    11/1/1970 12:00:00 AM
  • Firstpage
    685
  • Lastpage
    691
  • Abstract
    A finite-state model for sequential minimum-mean-square-error estimation of a random variable in additive noise is analyzed to determine the dependence of optimum performance and structure on the memory size of the estimator. Necessary conditions for determining the structure of the optimum finite-state estimator are derived for arbitrary statistics. Numerical results are presented for Gaussian statistics. The performance of several different estimators is used to show the trade-off one may obtain between memory size, observation quality, and number of observations.
  • Keywords
    Finite-memory methods; Sequential estimation; Additive noise; Constraint theory; Degradation; Estimation theory; Instruments; Memory management; Performance analysis; Random variables; Statistics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1970.1054536
  • Filename
    1054536