关键词: 提升方案, 更新算子, 预测算子, 最小二乘法

Abstract: When construct the lifting wavelet，the methods choosing predicting operator and updating operator are different.In this paper，we make a new criteria how to choose the updating operator in order to decompose signal into low frequency components and high frequency components more accurately，which is that the sum of the updating operator’s components is 1/2，and then we choose predicting operator according to the least square theory.Some examples of lifting wavelet are applied to signal de-noising.We search the law of choosing predicting and updating operator，and get a good de-noising result.It proves that this method is valid.

Key words: lifting scheme, updating operator, predicting operator, least square theory