• Corpus ID: 229156476

Optimality of Gaussian in Enlarging HK Rate Region, and its Overlap with the Capacity Region of 2-users GIC

@article{Khandani2020OptimalityOG,
  title={Optimality of Gaussian in Enlarging HK Rate Region, and its Overlap with the Capacity Region of 2-users GIC},
  author={Amir Keyvan Khandani},
  journal={ArXiv},
  year={2020},
  volume={abs/2012.07820}
}
  • A. Khandani
  • Published 14 December 2020
  • Computer Science
  • ArXiv
This article shows that the set of HK constraints correspond to projecting the intersection of two multiple access channels on its sup-spaces. A key property of HK constraints is that the private message of user 1 (or of user 2) is the last layer in superposition coding for the MAC formed at receiver 2 (or at receiver 1) and will be treated as noise in the decoding operations at receiver 2 (or at receiver 1). This property is used in this article to show that, in a HK rate region based on an… 

Figures from this paper

Achieving Capacity Region of 2-users Weak GIC by Enlarging the Core in a Nested Set of Polymatroids (continuation of arXiv: 2012.07820 "Optimality of Gaussian in Enlarging HK Rate Region, and its Overlap with ...")
TLDR
It is shown that achieving capacity region of a 2-users weak Gaussian Interference Channel (GIC) is equivalent to enlarging the core in a nested set of polymatroids through maximizing a minimum rate, then projecting along its orthogonal span and continuing recursively.

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