Single parity check product codes

This paper considers the performance of iteratively decoded single parity check (SPC) multidimensional product codes in an additive white Gaussian noise channel. Asymptotic performance bounds are compared to simulation results. A new code structure based on SPC product codes is introduced. This stru...

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Bibliographic Details
Published in:IEEE transactions on communications 2001-08, Vol.49 (8), p.1354-1362
Main Authors: Rankin, D.M., Gulliver, T.A.
Format: Article
Language:English
Subjects:
Additive white noise
Additives
Asymptotic properties
Bit error rate
Channels
Gaussian
H infinity control
Hypercubes
Interleaved codes
Iterative decoding
Multidimensional systems
Noise
Parity
Parity check codes
Performance analysis
Product codes
Simulation
Statistical process control
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Summary:This paper considers the performance of iteratively decoded single parity check (SPC) multidimensional product codes in an additive white Gaussian noise channel. Asymptotic performance bounds are compared to simulation results. A new code structure based on SPC product codes is introduced. This structure involves interleaving between the encoding of each dimension in the product code. An analysis of the weight distribution is used to explain the good performance results for these randomly interleaved SPC product codes.
ISSN:0090-6778
1558-0857
DOI:10.1109/26.939851