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The autoregressive moving average (ARMA) method is used to speed up the finite difference time domain (FDTD) simulation. Adaptive technique proposed as adaptive s- parameter method, is applied for the selection of ARMA model parameters, specifically the selection of training sequence. It is shown that the proposed method is more practically useful in that it is not model-dependent. It has made the signal predictor more stable and feasible for general-purpose use in combined FDTD simulation and signal processing.