Adaptive Kalman filtering deconvolution based on dyadic wavelet transform

作者：Dong E Q^*; Liu G Z; Zhang Z P

来源：Acta Electronica Sinica, 2001, 29(1): 64-67.

• Adaptive Kalman filtering
• Deconvolution
• Dyadic wavelet transforms
• False reflections
• Noise tolerance

A new approach of adaptive Kalman filtering deconvolution (AKFD) is developed based on dyadic wavelet transforms. The technique discards the assumption of signals stationarity in predictive deconvolution, and overcomes the problem of improving resolution at the price of substantially decreasing signal-to-noise rate (SNR). The technique can well compress the reflection waveforms, but the noises are not lifted in substance. So it has a better ability of noise tolerance. Suppressing false reflections in dyadic wavelet transform domain is better than by applying AKFD in the time domain. In addition, since the technique also has the characteristic of adaptive Kalman filtering in every band for a signal respectively, it enhances the adaptation of Kalman filtering, and the resolution is obvious higher than that in the time domain. At the same time, the technique also overcomes the drawback of increasing the low-frequency component of AKFD in the time domain. Numerical models and real seismic data indicate that the technique has obvious effect.

• 出版日期2001