1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Expressing probability of bit error

  1. May 6, 2013 #1
    1. The problem statement, all variables and given/known data
    I need to the probability of bit error in terms of integrals and terms of conditional probabilities.

    Its a bipolar system using threshold detection
    https://www.physicsforums.com/attachment.php?attachmentid=58542&stc=1&d=1367888259


    2. Relevant equations
    probability of bit error → ##P_e=Q(\rho)##
    ##\rho = \frac{A_p}{\sigma_n}##


    3. The attempt at a solution
    Im not sure I understand whats going on in the figure for this question. I would think that the bit error would be the shaded regions correct? I might be able to figure something out for expressing it in terms of conditional probability but I don't think it would be 100% correct. On top of that I have no idea how to express them in terms of integrals.

    Im kind of guessing here but would it be something like $$P_e=p(r|-a) \ + \ p(r|a)$$

    Im thinking no...

    Any help or hints are greatly appreciated!
     
  2. jcsd
  3. May 6, 2013 #2

    rcgldr

    User Avatar
    Homework Helper

    I've normally seen error rates based on bit error rate in this fashion:

    bit error rate = p
    probability of a good bit = 1 - p
    probability of a good byte (8 good bits) = (1-p)^8
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted