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Nonlinear Blind Identification with Three-Dimensional Tensor Analysis

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  • I. Cherif
  • S. Abid
  • F. Fnaiech

Abstract

This paper deals with the analysis of a third-order tensor composed of a fourth-order output cumulants used for blind identification of a second-order Volterra-Hammerstein series. It is demonstrated that this nonlinear identification problem can be converted in a multivariable system with multiequations having the form of ð ´ ð ‘¥ + ð µ ð ‘¦ = ð ‘ . The system may be solved using several methods. Simulation results with the Iterative Alternating Least Squares (IALS) algorithm provide good performances for different signal-to-noise ratio (SNR) levels. Convergence issues using the reversibility analysis of matrices ð ´ and ð µ are addressed. Comparison results with other existing algorithms are carried out to show the efficiency of the proposed algorithm.

Suggested Citation

  • I. Cherif & S. Abid & F. Fnaiech, 2012. "Nonlinear Blind Identification with Three-Dimensional Tensor Analysis," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-22, June.
    • Handle: RePEc:hin:jnlmpe:284815
    DOI: 10.1155/2012/284815
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