A simpler form of the Craig representation for the two-dimensional joint Gaussian Q-function

@article{Simon2002ASF,
  title={A simpler form of the Craig representation for the two-dimensional joint Gaussian Q-function},
  author={Marvin K. Simon},
  journal={IEEE Communications Letters},
  year={2002},
  volume={6},
  pages={49-51}
}
We derive a simpler form for the Craig (1991) representation of the two-dimensional joint Gaussian Q-function which dispenses with the trigonometric factor that precedes the exponentials in the integrands and furthermore results in an exponential argument that is precisely in the same simple form as that in the Craig representation of the one-dimensional Gaussian Q-function. As such, the entire dependence on the correlation parameter now appears only in the limits of integration. The resulting… CONTINUE READING
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