Research on the high-efficiency ARMA model applied in seismic wavelet estimation

On the assumption that the seismic wavelet is causal and nonminimum phase, an ARMA model is introduced to fit the seismic trace. The SVD method based on autocorrelation is used to determine AR order; and the author proposes a new MA model order determination method via combining the information theoretic criteria method with the method based on higher-order cumulant in order to improve the accuracy of MA order determination. The autocorrelation-based SVD-TLS method and cumulant-based method are used to obtain AR parameters and MA parameters respectively. Theoretical analysis and numerical simulations demonstrate the feasibility of the wavelet extraction approach.