Study on Optimal Adaptive Update Filter Based on Lifting Scheme Wavelet Transform

Wavelet transforms via lifting scheme provides a general and an adaptive flexible tool for the construction of wavelet decompositions and perfect reconstruction filter banks. In this paper, according to the construction of the lifting wavelet transforms, the optimal filter design method for the adaptive update wavelet transform is proposed by the authors. The optimal filter coefficients can be acquired based on the minimum mean square error criteria (MMSE) in the algorithm. Compare with other wavelet transform filter, simulation results show that the optimal wavelet update filter presented by this paper can achieve the better linear approximation for the ECG data obtained from the MIT/BIH database.