How to calculate the integration equation?












0














I am newbie in this forum, thus I have not been allowed to paste image in this question. Hopefully the readers can click to the link to view the equations.
I have a few of integration equations.
The first equation is the error probability of authentication in normal operation, $P_{e}^{Auth,normal}$:



normal operation



The $P_{e}^{Auth,normal}$ can be calculated using the equation:



Error probability in normal equation



The second equation is the error probability of authentication under MIM attack, $P_{e}^{Auth,MIM}$:



MIM attack



My question is how to calculate $P_{e}^{Auth,MIM}$ since the calculation of error probability in MIM attack was not given. The only equation that I have is error probability in normal equation.



Supposedly, the graph of the integration equation will be shown like this:



Graph of normal & MIM attack



$P_{e}^{Auth,normal}$ - blue line



$P_{e}^{Auth,MIM}$ - red line



Differences between two error probabilities - green line



I hope that anyone may help me to solve this problem.



Thank you.










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    0














    I am newbie in this forum, thus I have not been allowed to paste image in this question. Hopefully the readers can click to the link to view the equations.
    I have a few of integration equations.
    The first equation is the error probability of authentication in normal operation, $P_{e}^{Auth,normal}$:



    normal operation



    The $P_{e}^{Auth,normal}$ can be calculated using the equation:



    Error probability in normal equation



    The second equation is the error probability of authentication under MIM attack, $P_{e}^{Auth,MIM}$:



    MIM attack



    My question is how to calculate $P_{e}^{Auth,MIM}$ since the calculation of error probability in MIM attack was not given. The only equation that I have is error probability in normal equation.



    Supposedly, the graph of the integration equation will be shown like this:



    Graph of normal & MIM attack



    $P_{e}^{Auth,normal}$ - blue line



    $P_{e}^{Auth,MIM}$ - red line



    Differences between two error probabilities - green line



    I hope that anyone may help me to solve this problem.



    Thank you.










    share|cite|improve this question

























      0












      0








      0







      I am newbie in this forum, thus I have not been allowed to paste image in this question. Hopefully the readers can click to the link to view the equations.
      I have a few of integration equations.
      The first equation is the error probability of authentication in normal operation, $P_{e}^{Auth,normal}$:



      normal operation



      The $P_{e}^{Auth,normal}$ can be calculated using the equation:



      Error probability in normal equation



      The second equation is the error probability of authentication under MIM attack, $P_{e}^{Auth,MIM}$:



      MIM attack



      My question is how to calculate $P_{e}^{Auth,MIM}$ since the calculation of error probability in MIM attack was not given. The only equation that I have is error probability in normal equation.



      Supposedly, the graph of the integration equation will be shown like this:



      Graph of normal & MIM attack



      $P_{e}^{Auth,normal}$ - blue line



      $P_{e}^{Auth,MIM}$ - red line



      Differences between two error probabilities - green line



      I hope that anyone may help me to solve this problem.



      Thank you.










      share|cite|improve this question













      I am newbie in this forum, thus I have not been allowed to paste image in this question. Hopefully the readers can click to the link to view the equations.
      I have a few of integration equations.
      The first equation is the error probability of authentication in normal operation, $P_{e}^{Auth,normal}$:



      normal operation



      The $P_{e}^{Auth,normal}$ can be calculated using the equation:



      Error probability in normal equation



      The second equation is the error probability of authentication under MIM attack, $P_{e}^{Auth,MIM}$:



      MIM attack



      My question is how to calculate $P_{e}^{Auth,MIM}$ since the calculation of error probability in MIM attack was not given. The only equation that I have is error probability in normal equation.



      Supposedly, the graph of the integration equation will be shown like this:



      Graph of normal & MIM attack



      $P_{e}^{Auth,normal}$ - blue line



      $P_{e}^{Auth,MIM}$ - red line



      Differences between two error probabilities - green line



      I hope that anyone may help me to solve this problem.



      Thank you.







      integration






      share|cite|improve this question













      share|cite|improve this question











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      share|cite|improve this question










      asked Dec 28 '18 at 14:17









      Afir Afir

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