A solution to linear estimation problems using approximate Karhunen-Loeve expansions

  • Authors:
  • J. Navarro-Moreno;J. C. Ruiz-Molina;M. J. Valderrama

  • Affiliations:
  • Dept. of Stat. & Oper. Res., Univ. of Jaen;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

An explicit and efficiently calculable solution is presented to the problem of linear least-mean-squared-error estimation of a signal process based upon noisy observations that is valid for finite intervals. This approach is based on approximate Karhunen-Loeve expansions of a stochastic process and can be extended to estimate a linear operation, in the sense of the quadratic mean, of the signal process