Optimal Design of a Gallager B Noisy Decoder for Irregular LDPC Codes

In this letter, we study the performance of a noisy Gallager B decoder used to decode irregular low-density parity-check (LDPC) codes. We derive the final bit error rate (BER) as a function of both the transmission noise and processing errors. We allow different components of the decoder associated...

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Bibliographic Details
Published in:IEEE communications letters 2012-12, Vol.16 (12), p.2052-2055
Main Authors: Yazdi, S. M. S. T., Chu-Hsiang Huang, Dolecek, L.
Format: Article
Language:English
Subjects:
Applied sciences
Bit error rate
Coding, codes
Decoding
density evolution
Exact sciences and technology
Gallager B algorithm
Hardware
Information, signal and communications theory
irregular codes
LDPC decoder
Noise measurement
noisy hardware
Parity check codes
Program processors
Signal and communications theory
Telecommunications and information theory
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Summary:In this letter, we study the performance of a noisy Gallager B decoder used to decode irregular low-density parity-check (LDPC) codes. We derive the final bit error rate (BER) as a function of both the transmission noise and processing errors. We allow different components of the decoder associated with certain computational units (i.e., bit and check nodes of varying degrees) to have different processing errors. We formulate an optimization problem to distribute available processing resources across different components of a noisy decoder to achieve minimal BER. Simulations demonstrate that the optimal resource allocation derived from our analysis outperforms uninformed (random) resource assignment.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2012.101712.121953