Identification of Hammerstein systems using input amplitude multiplexing

An amplitude multiplexing technique for identifying Hammerstein systems with static nonlinearities is presented in this paper. The input signal to the Hammerstein system is amplitude multiplexed, and the output of the Hammerstein nonlinearity is approximated by a continuous piecewise affine function. The Hammerstein nonlinearity is assumed to pass through the origin. Using this identification technique, we show that, in the presence of zero-mean, colored output noise, the estimates of the Hammerstein nonlinearity and the impulse response of the linear plant are asymptotically correct up to a scalar factor.