DocumentCode :
1368109
Title :
Soft decoding of the (23, 12, 7) Golay-code up to five errors
Author :
Li, Yuhua ; Wang, Lingfeng ; Truong, Trieu-Kien
Author_Institution :
Dept. of Commun. Eng., Xiamen Univ., Xiamen, China
Volume :
5
Issue :
15
fYear :
2011
Firstpage :
2206
Lastpage :
2211
Abstract :
A new decoder is proposed to decode the (23, 12, 7) binary Golay-code up to five errors. It is based on the algorithm that can correct up to four errors for the (24, 12, 8) extended Golay-code proposed by Lin et al., thereby achieving the soft decoding in the real sense for the Golay-code. For a weight-2 or weight-3 error pattern decoded by the hard decoder for correcting up to three errors, one can find the corresponding 21 weight-4 or weight-5 error patterns and choose the one with the maximum emblematic probability value, which is defined as the product of individual bit-error probabilities corresponding to the non-zero locations of the error pattern as the ultimate choice. Finally, simulation results of this decoder over additive white Gaussian noise (AWGN) channels show that the proposed method provides 0.9 dB coding gain than that of Lin et al.´s algorithm at bit-error rate of 10-5.
Keywords :
AWGN channels; Golay codes; decoding; error statistics; Golay code; additive white Gaussian noise channels; bit error probabilities; bit error rate; hard decoder; maximum emblematic probability value; non zero locations; soft decoding;
fLanguage :
English
Journal_Title :
Communications, IET
Publisher :
iet
ISSN :
1751-8628
Type :
jour
DOI :
10.1049/iet-com.2011.0318
Filename :
6069643
Link To Document :
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