mother wavelet meaning in English
母小波
Examples
- Wavelet discussed in this paper is a basis of l2 or other spaces created by a function ( mother wavelet ) expand and contract and shift
本文讨论的小波是指由一个函数(母小波)经过伸缩与平移所产生的l ~ 2或其它空间的基底。 - The writer analyzed mallat three criteria and introduced the optimized function based on these three criteria , at last found optimized mother wavelet for edge detection . at the end of this chapter single edge searching method based on local maximum is introduced and gained ideal edge image
分析mallat提出的评价边缘检测函数优劣的三个判别函数，利用这三个判别函数列出最优化方程，推导出边缘检测最优小波，最后创造性提出局部最大值单像素边缘搜索法，提取出单像素宽度边缘图像，图像效果达到了满意的效果。 - E there is one - to - one map between the mathematical formulation and circuit realization , and that the method is systematic and suited for designing the network function with zeros and high - order filter . at last , the limitation and applied fields of the methods for realizing one - dimension cwt based on state - space log - domain filter are pointed out , it is also proved by the theoretical analysis and calculation results that the methods are suited for synthesizing the wavelet functions with very small scale or the frequence - transloction version of the mother wavelet ( with much translocation in frequence - domain )
论文还给出了用状态空间对数域滤波器实现一维连续小波函数的限制条件，并指出了这种实现方法的应用范围，理论分析与计算结果表明该方法适合用于实现尺度很小的小波函数或由原基小波经频谱搬移(搬移程度较大)后的小波函数。