Polar Coding Strategies for the Interference Channel With Partial-Joint Decoding

Abstract

Existing polar coding schemes for the two-user interference channel follow the original idea of Han and Kobayashi, in which component messages are encoded independently and then mapped by some deterministic functions (i.e., homogeneous superposition coding). In this paper, we propose a new polar coding scheme for the interference channel based on the heterogeneous superposition coding approach of Chong, Motani and Garg. We prove that fully-joint decoding (the receivers simultaneously decode both senders' common messages and the intended sender's private message) in the Han-Kobayashi strategy can be simplified to two types of partially-joint decoding, which are friendly to polar coding with practical decoding algorithms. The proposed coding scheme requires less auxiliary random variables and no deterministic functions, and can be efficiently constructed. Further, we extend this result to interference networks and show that the proposed partially-joint decoding scheme is a general method for designing heterogeneous superposition polar coding schemes in interference networks.

Polar coded cooperative with Plotkin construction and quasi‐uniform puncturing based on MIMO antennas in half duplex wireless relay network

“…Polar code is an errorcorrecting code proposed that can theoretically achieve the Shannon limit. Polar codes are suitable for arbitrary binary discrete memoryless channels and have a better performance on continuous additive white Gaussian noise channels [10][11][12]. Besides, polar code is used in some communication systems.…”

LDPC Code Design for Fading Interference Channels

“…Implementation of the HK coding scheme for a general GIC based on LDPC codes is studied in [5] where the authors perform decoding threshold analysis by utilizing Monte Carlo simulations, and show that with their proposed code design method, rate pairs close to the HK inner bounds can be attained. Furthermore, the authors in [6] propose a polar coding scheme for ICs, and show theoretically that fully joint decoder for the HK coding scheme can be simplified by employing partial joint decoders at the receivers, which is more favorable to polar coding. However, all of these studies are restricted to the case of fixed channel gains, and to the best of our knowledge, there is no work on code design for fading ICs in the literature.…”