2015/11/10 by Yi Wang, Alister G. Burr, Wang, Yi +7
Computer Science · Engineering · Mathematics · Medicine · #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Full-Duplex Wireless Communications #Information Theory (cs.IT) #Polyomavirus and related diseases #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1511.03297
Submitted to Transactions on Information Theory
arxiv created 2015/11/10 · openalex publication_date 2015/11/10 · arxiv updated 2015/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a general framework for studying the multilevel structure of lattice network coding (LNC), which serves as the theoretical fundamental for solving the ring-based LNC problem in practice, with greatly reduced decoding complexity. Building on the framework developed, we propose a novel lattice-based network coding solution, termed layered integer forcing (LIF), which applies to any lattices having multilevel structure. The theoretic foundations of the developed multilevel framework lead to a new general lattice construction approach, the elementary divisor construction (EDC), which shows its strength in improving the overall rate over multiple access channels (MAC) with low computational cost. We prove that the EDC lattices subsume the traditional complex construction approaches. Then a soft detector is developed for lattice network relaying, based on the multilevel structure of EDC. This makes it possible to employ iterative decoding in lattice network coding, and simulation results show the large potential of using iterative multistage decoding to approach the capacity.