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单词 Box-Muller Transformation
释义

Box-Muller Transformation

A transformation which transforms from a 2-D continuous Uniform Distribution to a 2-D Gaussian BivariateDistribution (or Complex Gaussian Distribution). If and are uniformly andindependently distributed between 0 and 1, then and as defined below have a Gaussian Distribution withMean and Variance .

(1)
(2)

This can be verified by solving for and ,
(3)
(4)

Taking the Jacobian yields
 
 (5)


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更新时间:2025/2/22 17:00:07