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

Author:

Yue Bi, Yue Wu, Cunqing Hua

Keyword:

Computer Science, Information Theory, Information Theory (cs.IT), Signal Processing (eess.SP)

journal:

date:

2024-02-03 00:00:00

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.

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