Abstract:The extract of seismic wavelet is the base of wave impedance inversion and forward modeling. Some matters involved in extracting deterministic wavelet are discussed,which are the determination of wavelet length,effect of truncation error,the elimination of direct current component,random noise effect and so on. Then,a recent method for seismic wavelet estimation using a high-order cumulant of seismic data is analysed theoretically in detail. Combining deterministic method with statistical method forms a new method for seismic wavelet extrapolation with constraint of log elate. The trial result of real data shows that the seiismic waveles obtained with this new method are better than those produced with ordinary method.