Reduced-Complexity Multiplicity Assignment Algorithm and Architecture for Low-Complexity Chase Decoder of Reed-Solomon Codes

A reduced-complexity multiplicity assignment (RCMA) algorithm for low-complexity chase (LCC) is proposed for decoding Reed-Solomon (RS) codes. The properties of bit-level received voltages over an additive white Gaussian noise (AWGN) channel with binary modulation are explored. By using the properti...

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Vydáno v:IEEE communications letters Ročník 19; číslo 11; s. 1865 - 1868
Hlavní autoři: Peng, Xingru, Zhang, Wei, Ji, Wenjie, Liang, Zhibin, Liu, Yanyan
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.11.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:1089-7798, 1558-2558
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Shrnutí:A reduced-complexity multiplicity assignment (RCMA) algorithm for low-complexity chase (LCC) is proposed for decoding Reed-Solomon (RS) codes. The properties of bit-level received voltages over an additive white Gaussian noise (AWGN) channel with binary modulation are explored. By using the properties, the hard-decision, secondary hard-decision, and unreliable positions can be easily determined, and hence, significantly reduce the computational complexity. Compared with the original multiplicity assignment (MA) algorithm, the RCMA eliminates n 2 log 2 n multiplication operations and reduces the number of comparison operations from 2n 2 to n log 2 n, where n is the code length of an RS code. Moreover, a hardware design for RCMA is proposed and applied in the unified syndrome computation (USC) based LCC decoder. Implementation results show the throughput of the proposed decoder can reach a Gbps order, which meets the requirements of high-speed communications.
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ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2015.2477495