Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Capacity of Symmetric $M$-user Gaussian Interference Channels
  with Feedback   A general time-varying feedback coding scheme is proposed for $M$-user fully
connected symmetric Gaussian interference channels. Based on the analysis of
the general coding scheme, we prove a theorem which gives a criterion for
designing good time-varying feedback codes for Gaussian interference channels.
The proposed scheme improves the Suh-Tse and Kramer inner bounds of the channel
capacity for the cases of weak and not very strong interference when $M=2$.
This capacity improvement is more significant when the signal-to-noise ratio
(SNR) is not very high. In addition, our coding scheme can be proved
mathematically and numerically to outperform the Kramer code for $M\geq 2$ when
Signal to Noise Ratio (SNR) is equal to Interference to Noise Ratio (INR).
Besides, the generalized degrees-of-freedom (GDoF) of our proposed coding
scheme can be proved to be optimal in the all network situations (very weak,
weak, strong, very strong) for any $M$. The numerical results show that our
coding scheme can attain better performance than the Suh-Tse coding scheme for
$M=2$ or the Mohajer-Tandon-Poor lattice coding scheme for $M>2$. Furthermore,
the simplicity of the encoding/decoding algorithms is another strong point of
our proposed coding scheme compared with the Suh-Tse coding scheme when $M=2$
and the Mohajer-Tandon-Poor lattice coding scheme when $M>2$. More importantly,
our results show that an optimal coding scheme for the symmetric Gaussian
interference channels with feedback can be achieved by only using marginal
posterior distributions under a better cooperation strategy between
transmitters.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int