Nonlinear Blind Identification with Three‐Dimensional Tensor Analysis
Imen Cherif, Sabeur Abid, Farhat Fnaiech · Mathematical Problems in Engineering · 2012
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 ofAx+By=c. 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 matricesAandBare addressed. Comparison results with other existing algorithms are carried out to show the efficiency of the proposed algorithm.