[SI-LIST] Re: How do two Random (Gaussian) Jitter specs add?

  • From: "tom_cip_11551" <tom_cip_11551@xxxxxxxxxxx>
  • To: si-list@xxxxxxxxxxxxx
  • Date: Fri, 14 Apr 2006 16:27:29 -0000

>If two variables have a Gaussian pdf, the standard deviation of the  
>combination should be the square root of the sums of the squares of 
>the standard deviations of the individual variables. For example if I 
> combine two noise sources, each having a Gaussian noise with 1 mV =3D
> standard deviation, the sum will have a standard deviation of 1.414 
>mV. 
> So, sure enough, the "P-P" value will be only 1.4 times the "P-P" of 
> either original signal.
> 


Thank you very much for the reply.

As you said, 

"if each noise source had a Gaussian distribution with a standard 
deviation of 1 mV, the sum will have a standard deviation of 1.414 mV, 
and the "P-P" value will be 1.4 times the "P-P" of either original 
signal."

But, what if the standard deviations are not equal? The P-P value 
would not be the root mean square times either of the original.

Tom





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