This paper is concerned with the blind identification of passband and baseband Hammerstein channels using cumulants of the received sequence. The channel is excited by common communication signals such as QAM, PSK and OFDM; sparseness of the higher order cumulant lags is exploited. Exact expressions and algorithms involving the output cumulants are developed. Performance is assessed by simulations.

Nonparametric identification of baseband and passband complex Volterra systems excited by communication inputs (PSK, QAM and OFDM) is considered. Closed form expressions are established using multidimensional orthogonal polynomials and higher order statistics. First multidimensional orthogonal polynomials are used for baseband and passband Volterra models driven by PSK and QAM inputs and closed form expressions are derived. Baseband Volterra models excited by IID circular Gaussian signals (OFDM) are identified using cross-cumulants. Performance is assessed by simulations.

This paper is concerned with symbolic computations in Volterra system identification using higher order cumulants. An efficient method that implements the Leonov-Shiryaev theorem is introduced. The proposed method relies on the exploitation of recursive relations between cumulants. The method is applied on the problem of blind identification of Volterra-Hammerstein systems excited by stationary higher order white noise. It solves previously intractable instances

This paper is concerned with the blind identification of bilinear systems excited by higher-order white noise. Unlike prior work that restricted the bilinear system model to simple forms and required the excitation to be Gaussian distributed, the results of this paper are applicable to a more general class of bilinear systems and for the case when the excitation is non-Gaussian. We describe an estimation procedure for the computation of the system parameters using output cumulants of order less than four.

This paper is concerned with third order Volterra system identification. It is shown that crosscumulant information can be converted into a Fredholm integral equation. Closed form expressions for the Volterra kernels are derived using the determinant theory. Finally, special emphasis is focused on i.i.d. inputs.