摘要
本文研究了a尺度正交小波的Mallat算法,利用a重多分辨分析,得到了正交小波的分解与重构算法,给出了Haar小波的Mallat算法的矩阵表示,并简化了计算.
In this paper, we study the Mallat algorithm of orthonormal wavelets with dilation factor α. Using the theory of a multiplicity a multiresolution analysis, we get the decomposition and reconstruction algorithm of orthonormal wavelets. The matrix representation of Mallat algorithm corresponding to Haar wavelet is given, which simplifies the computation.
出处
《数学杂志》
CSCD
北大核心
2007年第6期664-668,共5页
Journal of Mathematics
基金
国家自然科学基金资助项目(40571102)
