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单词 Walsh transform
释义

Walsh transform

中文百科

阿达马变换 Hadamard transform

(重定向自Walsh transform)

阿达马变换Hadamard transform),或称沃尔什-阿达玛转换,是一种广义傅里叶变换(Fourier transforms),作为变换编码的一种在视频编码当中使用有很久的历史。在近来的视频编码标准中,阿达马变换多被用来计算SATD(一种视频残差信号大小的衡量)。

在数字信号处理大型集成电路算法的领域中,阿达马变换是一种简单且重要的算法之一,主要能针对频谱做快速的分析。

英语百科

Hadamard transform 阿达马变换

(重定向自Walsh transform)
The product of a Boolean function and a Walsh matrix is its Walsh spectrum:[1](1,0,1,0,0,1,1,0) * H(8) = (4,2,0,−2,0,2,0,2)
Fast Walsh–Hadamard transformThis is a faster way to calculate the Walsh spectrum of (1,0,1,0,0,1,1,0).
The original function can be expressed by means of its Walsh spectrum as an arithmetical polynomial.

The Hadamard transform (also known as the Walsh–Hadamard transform, Hadamard–Rademacher–Walsh transform, Walsh transform, or Walsh–Fourier transform) is an example of a generalized class of Fourier transforms. It performs an orthogonal, symmetric, involutive, linear operation on 2 real numbers (or complex numbers, although the Hadamard matrices themselves are purely real).

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