Title :
A Construction of lattices from polar codes
Author :
Yanfei Yan ; Cong Ling
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK
Abstract :
We employ polar codes as the building blocks of Construction D to construct lattices for the additive white Gaussian noise (AWGN) channel. The construction of these component polar codes is based on the idea of Pedarsani et al. for binary-input memoryless symmetric (BMS) channels. Our lattice construction takes the advantage of the performance gain of polar codes over Reed-Muller codes. Simulation results show the lattices constructed from polar codes outperform the benchmark Barnes-Wall lattices, which are constructed from Reed-Muller codes.
Keywords :
AWGN channels; Reed-Muller codes; channel coding; AWGN channel; BMS channels; Reed-Muller codes; additive white Gaussian noise channel; benchmark Barnes-Wall lattices; binary-input memoryless symmetric channels; component polar codes; lattice construction; polar codes; Channel capacity; Decoding; Generators; Lattices; Noise; Vectors;
Conference_Titel :
Information Theory Workshop (ITW), 2012 IEEE
Conference_Location :
Lausanne
Print_ISBN :
978-1-4673-0224-1
Electronic_ISBN :
978-1-4673-0222-7
DOI :
10.1109/ITW.2012.6404640
