Exploitation of cyclostationarity for identifying nonlinear Volterra systems by input-output noisy measurements

An identification method of nonlinear Volterra systems of finite order N by input-output measurements is proposed. The input signal is assumed to be a cyclostationary signal of the form s(k)=z(k) cos(2/spl pi//spl nu//sub 0/k) and the measures of the input and output signals are supposed to be corrupted by signal-independent additive noise. Two cases are considered for the modulating signal z(k): white at least up to 2N-order and colored Gaussian. The proposed method exploits the higher-order cyclostationarity selectivity property to reject noise and interference. Its performance analysis is carried out by computer simulations for a quadratic Volterra system.