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How to convert a gaussian distributed rnd sequence to uniform dist and viceversa 
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#1
Dec1112, 08:26 AM

P: 191

Hi PF,
I have a device (with a microcontroller) which generates random numbers. when I analyzed those numbers using Matlab software I found that it is following a uniform distribution. How can I mathematically (any algorithm?) convert this random output to a gaussian one. Also I would like to know the reverse case ie gaussian to uniform one. Devanand T 


#2
Dec1112, 01:11 PM

Sci Advisor
P: 3,593

If F is the cdf of the Gaussian distribution, and x is a point from your uniform distribution 0<=x<=1, then [itex]y= F^{1} (x) [/itex] has a Gaussian distribution.



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