On the ergodic strong interference channel under lattice coding and decoding

The capacity region of the ergodic fading interference channel remains unknown. Moreover, most achievable rate regions known to date for fading interference channels are based on Gaussian codes, whose encoding and decoding complexity is too high. In this paper, we study the two-user ergodic interference channel with channel knowledge only at the receiver side. First, we establish the capacity region for the case where interference (cross) link gains are statistically stronger than forward link gains, denoted the ergodic strong interference channel. Additionally, we establish the rate region for this channel under lattice coding and decoding, whose complexity is significantly less than Gaussian codes. We show that the sum rate achieved using lattice codes is very close to sum capacity.