A Proof of the Strong Converse Theorem for Gaussian Broadcast Channels via the Gaussian Poincaré Inequality

@article{Fong2016APO,
  title={A Proof of the Strong Converse Theorem for Gaussian Broadcast Channels via the Gaussian Poincar{\'e} Inequality},
  author={Silas L. Fong and Vincent Y. F. Tan},
  journal={IEEE Transactions on Information Theory},
  year={2016},
  volume={63},
  pages={7737-7746}
}
We prove that the Gaussian broadcast channel with two destinations admits the strong converse property. This implies that for every sequence of block codes operated at a common rate pair with an asymptotic average error probability < 1, the rate pair must lie within the capacity region derived by Cover and Bergmans. The main mathematical tool required for… CONTINUE READING