一种信号多辨分析的新方法
New Method for Multi-resolution Analysis in Signal Processing
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摘要: 为了应用有限元方法对信号进行多分辨率分析,用群论方法将有限元正交化,构造出周期区域有限元的 正交函数·将所构造的正交函数用于函数逼近·给出了函数逼近时细剖分与粗剖分正交函数系数之间的递推 关系,并将所导出的递推的关系用于信号多分辨率分析和信号的压缩·Abstract: To apply finite element method in signal processing, the elements were orthogonalized based on group theory to form a series of orthogonal functions in a cyclic zone,and the orthogonal functions were applied in function approximation. The iterative relation between the coefficients of finely divided orthogonal functions and roughly divided ones in the function approximation was presented, and used in multi-resolution analysis and signal compression.
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