LDPC Code Design for Fast Fading Interference Channels

We focus on two-user Gaussian interference channels (ICs) with fast fading and study implementation of (explicit) all public and Han-Kobayashi (HK) coding schemes with low-density parity-check (LDPC) codes. Stability conditions for the studied coding schemes are derived, and a modified form of the EXIT chart analysis is implemented to estimate the decoding thresholds of LDPC code ensembles. The proposed code design is employed in several examples and the resulting rate pairs are compared with the achievable rate region (ARR) boundaries demonstrating that rate pairs very close to the ARR boundaries are attained. Performance of finite block length codes are also studied through simulations of specific codes picked from the optimized LDPC code ensembles in order to verify the analysis.