• DocumentCode
    2097259
  • Title

    The classification of low dimensional estimation algebras

  • Author

    Chen, Jie ; Leung, Chi-Wah ; Yau, Stephen

  • Author_Institution
    Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA
  • fYear
    1993
  • fDate
    15-17 Dec 1993
  • Firstpage
    732
  • Abstract
    In this paper we prove the Mitter (1979) conjecture that if the estimation algebra is finite dimensional with maximal rank, then all the observation terms h1(x),···,hm(x) are necessarily polynomials of degree at most one. We also continue the previous project and study the case for state space dimension at most 4. In particular we give a classification of all possible quadratic forms that can appear in the finite dimensional estimation algebras
  • Keywords
    algebra; estimation theory; classification; finite-dimensional maximal-rank algebra; low dimensional estimation algebras; polynomials; state space dimension; Algebra; Information filtering; Information filters; Mathematics; Nonlinear equations; Polynomials; Robustness; Signal processing; State-space methods; Telephony;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
  • Conference_Location
    San Antonio, TX
  • Print_ISBN
    0-7803-1298-8
  • Type

    conf

  • DOI
    10.1109/CDC.1993.325053
  • Filename
    325053
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2097259