DoF Analysis for (M, N)-Channels through a Number-Filling Puzzle
<|reference_start|>DoF Analysis for (M, N)-Channels through a Number-Filling Puzzle: We consider a $\sf K$ user interference network with general connectivity, described by a matrix $\mat{N}$, and general message flows, described by a matrix $\mat{M}$. Previous studies have demonstrated that the standard interference scheme (IA) might not be optimal for networks with sparse connectivity. In this paper, we formalize a general IA coding scheme and an intuitive number-filling puzzle for given $\mat{M}$ and $\mat{N}$ in a way that the score of the solution to the puzzle determines the optimum sum degrees that can be achieved by the IA scheme. A solution to the puzzle is proposed for a general class of symmetric channels, and it is shown that this solution leads to significantly higher $\SDoF$ than the standard IA scheme.<|reference_end|>
@article{bi2024dof,
    title={DoF Analysis for (M, N)-Channels through a Number-Filling Puzzle},
    author={Yue Bi, Yue Wu and Cunqing Hua},
    journal={arXiv preprint arXiv:2402.02189},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.02189},
    primaryClass={cs.IT eess.SP math.IT}
}