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Nonlinear Blind Identification with Three-Dimensional Tensor Analysis

I. Cherif, S. Abid and F. Fnaiech

Mathematical Problems in Engineering, 2012, vol. 2012, 1-22

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:284815

DOI: 10.1155/2012/284815

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