... 傅立叶级数 Forrier series 周期延拓 periodic prolongation 正弦级数 sine series ...
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对称周期延拓 Symmetric Periodic Extension
First of all, one-dimensional wavelet transform, Multi-Resolution Analysis and Mallat algorithm are briefly introduced, and then the boundary extension problem in Mallat algorithm’s realization is also discussed, moreover, an illustration of Mallat algorithm is given with periodic extension methods.
文中首先简要地介绍了一维小波变换、多分辨分析和Mallat算法,讨论了Mallat算法实现中的边界延拓问题,并以周期延拓方式为例给出了Mallat算法实例。
参考来源 - 提升小波二叉树编码算法研究The main research contributions and conclusions are summarized as follows. (1)obtain better reconstruct image choosing the bi-orthogonal (9,7) wavelet basis and symmetric periodic extension.
本论文的主要研究成果和结论有：(1) 对一般自然图像作小波变换时，采用(9，7)双正交小波并对图像作对称周期延拓能获得较好的重构质量。
参考来源 - 基于小波零树的嵌入式图像编码技术的研究与改进·2,447,543篇论文数据，部分数据来源于NoteExpress
为此采用全样本对称周期延拓的方法进行边界延拓。
Therefore, full-sampled symmetric periodic extension method is adopted here in order to alleviate boundary effect.
在此基础上我们研究讨论了时延周期延拓相对瞬时能量聚类，但发现存在相位模糊的问题。
Based on the method we study the phase of the cycle to cluster the power in each frequency point. Through clustering we find it has the phase ambiguity.
测量取值的有限时宽效应，可以采用时间累积或周期延拓方法，把测量方法误差降到足够小。
The measurement error caused by finite intervals effect of measured value can be decreased using time cumulation or periodic expansion.
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