小波是一类函数，用于在空间和尺度上定位给定函数。一族小波可以从一个函数 
构建，有时称为“母小波”，它被限制在有限区间内。然后通过平移 (
) 和伸缩 (
) 形成“子小波” 
。小波特别适用于压缩图像数据，因为小波变换在某些方面优于传统的傅里叶变换。
一个单独的小波可以定义为
 |
(1)
|
那么
 |
(2)
|
且 Calderón 公式给出
 |
(3)
|
一种常见的小波类型是使用 Haar 函数定义的。
电视剧犯罪剧集 数字追凶 第一季剧集 “Counterfeit Reality” (2005) 以小波为特色。
另请参阅
傅里叶变换,
Haar 函数,
Lemarié 小波,
小波变换
使用 Wolfram|Alpha 探索
参考文献
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小波
请引用为
韦斯坦因，埃里克·W. "小波。" 来自 MathWorld--Wolfram Web 资源。 https://mathworld.net.cn/Wavelet.html
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