  In this paper, we propose a new coding scheme for symmetric Gaussian
interference channels with feedback based on the ideas of time-varying coding
schemes. 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.
This improvement is more significant when the signal-to-noise ratio (SNR) is
not very high. It is shown theoretically and numerically that our coding scheme
can outperform the Kramer code. In addition, the generalized degrees-of-freedom
of our proposed coding scheme is equal to the Suh-Tse scheme in the strong
interference case. The numerical results show that our coding scheme can attain
better performance than the Suh-Tse coding scheme for all channel parameters.
Furthermore, the simplicity of the encoding/decoding algorithms is another
strong point of our proposed coding scheme compared with the Suh-Tse coding
scheme. More importantly, our results show that an optimal coding scheme for
the symmetric Gaussian interference channels with feedback can be achieved by
using only marginal posterior distributions under a better cooperation strategy
between transmitters.
