HIGHER-ORDER CYCLOSTATIONARITY-BASED METHODS FOR IDENTIFYING VOLTERRASYSTEMS BY INPUT-OUTPUT NOISY MEASUREMENTS

Identification methods of nonlinear Volterra systems of finite order N by input-output measurements are proposed. The input signal is assume d to be amplitude-modulated cyclostationary signal and the measures of the input and output signals are supposed to be corrupted by signal-i ndependent additive noise. Two identification methods are proposed: th e former assumes that the modulating sequence be white at least up to 2N-order; the latter considers a stationary Gaussian sequence. They ex ploit the higher-order cyclostationarity selectivity property of the i nput signal to reject noises and interferences. The performance analys is, carried out by computer simulations for a quadratic Volterra syste m, shows the capability of the proposed methods to operate satisfactor ily in severe noise environment. (C) 1998 Elsevier Science B.V. All ri ghts reserved.