Multilevel Coset Codes on Lattices
This addresses the need for more efficient coding schemes in communication systems, representing a novel method rather than an incremental improvement.
This paper tackles the problem of improving error correction performance in communication systems by introducing coset Bombe codes, which combine dense lattice structures with polar codes, achieving up to 0.8 dB gain and halving block size latency while maintaining superior error rates on 16-QAM in AWGN channels.
This work introduces coset Bombe codes, a novel class of multilevel coset codes that generalize polar codes to dense lattice structures. By leveraging multilevel coding with non-binary codes designed for the lattice modulations and making use of Voronoi shaping, Bombe codes integrate the geometric strengths of dense lattices such as $D_4$ with the capacity-approaching properties of polar codes. Experimental results in additive white Gaussian noise (AWGN) channels demonstrate that coset Bombe codes significantly outperform both BICM and MLC state-of-the-art schemes on 16-QAM. The proposed scheme simulated on AWGN achieves up to 0.8 dB of gain and reduces block size latency by half while maintaining superior bit and block error rate (BER/BLER) performance on codewords of 256 and 1024 bits.