Computer ScienceEngineeringMathematics

On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit

Sae-Young Chung, G. Forney, T. Richardson, R. Urbanke

2001.2.1IEEE COMMUNICATIONS LETTERS

DOI: 10.1109/4234.905935

tlooto Summary

Improved algorithms are developed to construct good low-density parity-check codes that approach the Shannon limit very closely, especially for rate 1/2.

Abstract

We develop improved algorithms to construct good low-density parity-check codes that approach the Shannon limit very closely. For rate 1/2, the best code found has a threshold within 0.0045 dB of the Shannon limit of the binary-input additive white Gaussian noise channel. Simulation results with a somewhat simpler code show that we can achieve within 0.04 dB of the Shannon limit at a bit error rate of 10/sup -6/ using a block length of 10/sup 7/.

Citation format

CHUNG, Sae-Young, et al. On the design of low-density parity-check codes within 0.0045 db of the shannon limit. IEEE COMMUNICATIONS LETTERS, 2001, 5: 58–60.