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Homework Help: 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

    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


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    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
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