Distribution of Inner Product of Complex Gaussian Random Vectors and its Applications

@article{Mallik2011DistributionOI,
  title={Distribution of Inner Product of Complex Gaussian Random Vectors and its Applications},
  author={Ranjan K. Mallik and Nikos C. Sagias},
  journal={IEEE Transactions on Communications},
  year={2011},
  volume={59},
  pages={3353-3362}
}
Let X and Y be two independent L x 1 complex Gaussian random vectors distributed as CN (m×, σ2× IL) and CN (mY, σY2 IL), respectively, where I_L denotes the L x L identity matrix. The joint characteristic function (c.f.) of the real and imaginary parts of the inner product YH X is derived in closed form, with (·)H denoting the conjugate transpose. Based on this joint c.f., a unified analytical framework for the derivation of the average symbol error probability (ASEP) of a multibranch diversity… CONTINUE READING

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