[ibis-macro] Re: SATA: Why 14 sigma?

  • From: Mike Steinberger <msteinb@xxxxxxxxxx>
  • To: ibis-macro@xxxxxxxxxxxxx
  • Date: Wed, 18 Apr 2012 15:50:52 -0500

David-

You need to be looking at the Q function, not the erfc function. The two functions are closely related, but they're not the same. Q(7)=1e-12.

From Wozencraft and Jacobs, pg 83, Q is the area of the tail of a Gaussian function:

Q(a) = 1/sqrt(2pi) * integral from a to infinity exp( -b^2/2) db.

 and for relatively large values of a

Q(a) ~ 1/(sqrt(2*pi)*a) * exp( -a^2/2 )

Mike S.

On 04/18/2012 03:26 PM, David Banas wrote:

Hi experts,

Does anyone know why the SATA committee chose to add 14 sigma to Dj, in order to determine Tj at an effective BER of 1e-12?

I'm looking at a table of the erfc function, and it's telling me that erfc(14) = 3.0372e-87!

(I would've expected that they would've chosen `n', such that erfc(n) = 1e-12.)

Thanks!

*David Banas*

/Sr. Member Technical Staff/

Altera <http://www.altera.com/>

+1-408-544-7667 - desk

//

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