[SI-LIST] Re: How do two Random (Gaussian) Jitter specs add?
- From: "Ihsan Erdin" <erdinih@xxxxxxxxx>
- To: tom_cip_11551@xxxxxxxxxxx
- Date: Fri, 14 Apr 2006 11:39:08 -0400
Hi Tom,
I don't call myself an SI expert but I guess I can answer your question.
You're correct in your assumtion that RMS values don't add linearly. A
vector addition applies instead, which is also known as root-sum-square
(RSS), i.e. sqrt( (rms_1)^2+(rms_2)^2+...+(rms_n)^2 )
Regards.
Ihsan
On 4/14/06, tom_cip_11551 <tom_cip_11551@xxxxxxxxxxx> wrote:
>
> Hi to sll signal integrity experts.
>
> I am just a little rusty on "probability and random variables".
>
> Lets say that I had a system with two or more elements that
> generated Gaussian distribution or, random jitter, or random jitter.
> Random jitter tends to be specifed in terms of the standard
> deviation of the distribution. Each generator would therefore have
> a "sigma", which is also an RMS value. If I knew the sigma of each
> of the distributions coming from the generators, then I could
> convert these sigma values to a peak to peak number by arbitrarily
> assigning a desired bit error rate. The peak to peak values, as far
> as I know, will add, linearly.
>
> However, if I wanted to stay in the statistical world, how could I
> add the two sigma values for the two jitter generators? In my way of
> thinking, they can not add linearly (sigma 1 plus sigma 2). Is this
> wrong?
>
> Thank You
> Tom
>
>
>
>
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