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

SY Chung, GD Forney, TJ Richardson… - IEEE …, 2001 - ieeexplore.ieee.org
SY Chung, GD Forney, TJ Richardson, R Urbanke
IEEE Communications letters, 2001ieeexplore.ieee.org
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/.
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/.
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