含参数4-进双对称小波的构造

Construction of 4-bank bi-symmetric wavelets bases with parameters

给出了一类具有滤波器对称和图像对称的4-进双正交小波的构造,该小波可以由它的低通滤波器确定,因此,其自由度能够运用到应用背景。构造具有较高消失矩的对称双正交多小波族,研究了变换矩阵的性质,为应用提供了大量选择。

In Empirical Mode Decomposition（EMD）,to suppress the ending effect,extending the data near the two end points is used by mathematics fitting usually.In practice,extending the sampling-time can also extend the end points and suppress the ending effect.Comparison has been made among the data extending method between the mathematics fitting（the mirror extending method as example） and terminal intercept near the two end points.To test the effect of EMD,the correlation coefficient between the practical results and ideal results are calculated.As a result of simulation and numerical experiment（periodic harmonic function as example）,it is shown that if the signal intercept around half the length of data signals,better results can be obtained than endpoint extending.More the interception of points approximates more ending effect can be effectively restrained.