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On the Performance of High-Rate TPC/SPC Codes and
LDPC Codes over Partial Response Channels
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IEEE Trans Commun
accepted
2000
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J.Li,
K.R.Narayanan, E.Kurtas, C.N.Georghades
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[pdf]
Abstract --
This paper evaluates two-dimensional turbo product codes based on
single-parity check codes (TPC/SPC) and low density parity check
(LDPC) codes for use in digital magnetic recording systems. It is
first shown that the combination of a TPC/SPC code and a precoded
partial response (PR) channel results in good distance spectrum
due to the interleaving gain. Then, density evolution is used to
compute the thresholds for TPC/SPC codes and LDPC codes over PR
channels. Analysis shows that TPC/SPC codes have a performance
close to that of LDPC codes for large codeword lengths. Simulation
results for practical block lengths show that TPC/SPC codes
perform as well as LDPC codes in terms of bit error rate, but
possess better burst error statistics which is important in the
presence of an outer Reed-Solomon code. Further, the encoding
complexity of TPC/SPC codes is only linear in the codeword length
and the generator matrix does not have to be stored explicitly.
Based on the results in the paper and these advantages, TPC/SPC
codes seem like a viable alternative to LDPC codes.
Keywords --
turbo product codes (TPC), low density parity check (LDPC)
codes, iterative decoding, message-passing decoding,
iterative decoding and equalization (IDE),density
evolution, partial response (PR) channels, interleaving gain,
precoding, data storage system
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