摘要On the assumption that the wavelet is causal and nonminimum phase, an autoregressive moving average (ARMA) model is introduced to fit the seismic trace. Seismic wavelet extraction is converted to parameters estimation of the ARMA model. Singular value decomposition (SVD) of an appropriate matrix formed by autocorrelation is exploited to determine the autoregressive (AR) order, and the cumulant-based SVD-TLS (total least squares) approach is proposed to obtain the AR parameters. The author proposes a new moving average (MA) model order determination method via combining the information theoretic criteria method and higher-order cumulant method. The cumulant approach is used to achieve the MA parameters. Theoretical analysis and numerical simulations demonstrate the feasibility of the wavelet extraction approach.
Abstract：On the assumption that the wavelet is causal and nonminimum phase, an autoregressive moving average (ARMA) model is introduced to fit the seismic trace. Seismic wavelet extraction is converted to parameters estimation of the ARMA model. Singular value decomposition (SVD) of an appropriate matrix formed by autocorrelation is exploited to determine the autoregressive (AR) order, and the cumulant-based SVD-TLS (total least squares) approach is proposed to obtain the AR parameters. The author proposes a new moving average (MA) model order determination method via combining the information theoretic criteria method and higher-order cumulant method. The cumulant approach is used to achieve the MA parameters. Theoretical analysis and numerical simulations demonstrate the feasibility of the wavelet extraction approach.
基金资助:the National High Technology Research and Development Program of China (863 Program, No. 2007AA09Z301), the Graduate Innovation Fund of China University of Petroleum and National Natural Science Foundation of China (40974072)
通讯作者:
Shaoshui Wang
E-mail: wss.2008@163.com
引用本文:
Shaoshui Wang, Yongshou Dai, Fang Wang. Seismic wavelet estimation via a system identification method[J]. 《地震学报》英文版, 2009, 22(5): 487-492.
Shaoshui Wang, Yongshou Dai, Fang Wang. Seismic wavelet estimation via a system identification method. Earthquake Science, 2009, 22(5): 487-492.
