Optimized low-density parity-check codes for partial response channels

N Varnica, A Kavcic - IEEE Communications Letters, 2003 - ieeexplore.ieee.org
N Varnica, A Kavcic
IEEE Communications Letters, 2003ieeexplore.ieee.org
We optimize irregular low-density parity-check (LDPC) codes to closely approach the
independent and uniformly distributed (iud) capacities of partial response channels. In our
approach, we use the degree sequences optimization method for memoryless channels
proposed by Richardson, Shokrollahi, and Urbanke and appropriately modify it for channels
with memory. With this optimization algorithm we construct codes whose noise tolerance
thresholds are within 0.15 dB of the iud channel capacities. Our simulation results show that …
We optimize irregular low-density parity-check (LDPC) codes to closely approach the independent and uniformly distributed (i.u.d.) capacities of partial response channels. In our approach, we use the degree sequences optimization method for memoryless channels proposed by Richardson, Shokrollahi, and Urbanke and appropriately modify it for channels with memory. With this optimization algorithm we construct codes whose noise tolerance thresholds are within 0.15 dB of the i.u.d. channel capacities. Our simulation results show that irregular LDPC codes with block lengths 10/sup 6/ bits yield bit error rates 10/sup -6/ at signal-to-noise ratios 0.22 dB away from the channel capacities.
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