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Daubechies小波双尺度方程系数(可看作FIR滤波器)在数字情号处理领域得到了广泛的应用,这说明了小波双尺度方程系数比小波函数本身更有吸引力.本文作者试图通过经典的付氏分析理论,应用与Daubechies不同的方法,从不同的角度,推导出一种新的对称小波双尺度方程系数(可看作对称FIR滤波器),力图浅显易懂,严格合理。
Daubechies DWT coefficients (which can be seen as FIR filters) are widely used in the field of digital signal processing, which shows that the DWT coefficient is more attractive than the wavelet function itself. The author attempts to derive a new symmetric wavelet coefficient of two-scale equation (which can be regarded as a symmetric FIR filter) from different perspectives by using the different methods of Daubechies through classical Fu’s analysis theory, Strict and reasonable.