【摘要】 为确定提升格式的预测系数及更新系数,该文以小波分解的细节信号的平方和为目标函数,采用一组正交多项式确定预测系数,使预测系数能够反映分析数据的特征。根据分析数据的相关性来确定最优预测系数和更新系数,使小波能够较好地适应信号特征的变化。理论和仿真结果表明:正交多项式的自适应提升格式的滤波性能明显优于一般拟合方法的提升格式以及传统小波db5,尤其在低信噪比的情况更为明显。更多还原

【Abstract】 To determine the prediction and updated parameters of lifting scheme,this paper takes the sum of squared detail components as an objective function,and designs predictors based on orthogonal polynomial,so that the prediction parameter can represent the features of the given data.An optimal predictor and an optimal updater are chosen for the transforming sample according to the magnitude of the correlation factors,so the lifting scheme can fit the change of original signal better.The theory and simulation results demonstrate that the filtering performance of adaptive lifting scheme based on orthogonal polynomials is better than that based on general fitting method and traditional wavelet db5,especially with low signal-to-noise ratio.更多还原