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Computer Science > Information Theory

arXiv:2402.02189 (cs)
[Submitted on 3 Feb 2024]

Title:DoF Analysis for (M, N)-Channels through a Number-Filling Puzzle

Authors:Yue Bi, Yue Wu, Cunqing Hua
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Abstract: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.
Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)
Cite as: arXiv:2402.02189 [cs.IT]
  (or arXiv:2402.02189v1 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.2402.02189

Submission history

From: Yue Bi [view email]
[v1] Sat, 3 Feb 2024 15:30:57 UTC (75 KB)
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