System identification using frequency domain methodology

A method for using the frequency domain methodology to identify a linear meta-model is proposed. This involves multiple frequency domain runs to eliminate the effect of gain. The method uses the Fourier transform of the output process, rather than the periodogram or smoothed periodgram estimators. The identification focuses on estimating the coefficients of the model, and is therefore similar in spirit to response surface methodology. The method is tested on two models, one with known structure and the other with unknown structure. The procedure does well as fitting the coefficients, including obtaining the correct sign