Nonlinear system identification using higher order statistics

Celebi M.

IEEE-EURASIP Workshop on Nonlinear Signal and Image Prcessing (NSIP 99), Antalya, Turkey, 20 - 23 June 1999, pp.656-658 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Antalya
  • Country: Turkey
  • Page Numbers: pp.656-658
  • Istanbul Technical University Affiliated: No


A general formula is given for the conditional mean in terms of higher order statistics. Using this formula, a general scheme for nonlinear system identification is introduced including a broad range of nonlinearities which depends on the probability density function of the input. As a special case of that general scheme, the polynomial system identification problem is treated. It is shown that our general scheme yields straightforward theoretical results in the case of polynomial discrete-time system identification.