a尺度二元最小能量多小波框架的构造
The Construction of Bivariate Minimum-Energy Multi-Wavelet Frames with Dilation Factor a
摘要:
在最小能量小波多小波框架的基础上，给出了a尺度二元最小能量多小波框架的概念，和满足二元最小能量多小波框架特性的充分以及必要条件，利用对尺度函数以及小波函数相应的面具符号进行多相位分解，给出了构造a尺度二元最小能量多小波框架的构造算法。
Abstract:
Based on the minimum-energy multi-wavelet frames, the concept of bivariate minimum-energy multi-wavelet frames with dilation factor a and the sufficient and necessary conditions for satisfying the characteristics of bivariate minimum energy multi-wavelet frames are given. Via using the polyphase decomposition that corresponds to the symbol functions for scaling function and wavelet function, the decomposition and reconstruction algorithms of bivariate minimum-energy multi-wavelet frames with dilation factor a are presented.
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