求解双正交小波提升格式系数的新方法

为获得快速提升小波变换的系数,根据双正交小波提升格式的特点,给出求解提升系数的解方程组方法.该方法基于前向提升小波变换的预测和更新过程组合成的多项式矩阵表示形式判断提升的级数,联立方程求解,得到双正交小波变换的提升系数.将此方法与双正交小波滤波器构造方法相结合,对照滤波器的系数值,得到提升小波变换的尺度因子.结果表明无论先预测后更新或先更新后预测的提升格式,都可采用该方法求解它们的提升系数.

New method for calculating lifting coefficients of biorthogonal wavelet

s: To make out the coefficients of the fast lifting wavelet transform, a new method for calculating the coefficients of lifting scheme was presented. According to the polyphase representation of forward lifting with the prediction and update stages combined into one matrix, the number of lifting stage was obtained using this method. The lifting coefficients of the biorthogonal wavelet transform were available from solving the simultaneous equations.Combined with the construction methods of the biorthogonal wavelet filters, the proposed method contrasted the coefficients of the filters and obtained the scale factors of the lifting wavelet transform. The results indicate that the lifting coefficients can be solved using the proposed method no matter that the lifting scheme is the prediction process first or the update process first.