Title :
Exact analysis of bit error rate of maximum-distance-separable codes
Author :
Zhang, Lijun ; Gao, Chunyan ; Cao, Zhigang
Author_Institution :
Dept. of Electron. Eng., Tsinghua Univ., Beijing, China
Abstract :
We present a formula to calculate the bit error rate (BER) of maximum-distance-separable (MDS) codes based on the weight distributions of the codes. Because of the exact number of a certain weight of the codes, the probabilities of decoding error and decoding failure can be achieved for an incomplete decoder. The proposed formula is built by summing up all the probabilities of decoding error and decoding failure properly. Two MDS codes, RS (7,5) and RS (63,45) codes, with a 8PSK modulation scheme in the AWGN channel are chosen to verify the formula. Compared with the conventional upper bound formula, our proposed formula is more consistent with the simulated results, no matter short codes or long codes. The formula can be used widely to calculate the accurate BER of MDS codes
Keywords :
AWGN channels; Reed-Solomon codes; channel coding; decoding; error correction codes; error statistics; modulation coding; phase shift keying; 8PSK modulation scheme; AWGN channel; BER; MDS codes; RS (63,45) codes; RS (7,5); bit error rate; decoding error; decoding failure; exact analysis; incomplete decoder; long codes; maximum-distance-separable codes; short codes; upper bound; weight distributions; AWGN channels; Bit error rate; Decoding; Digital communication; Error analysis; Error correction; Error correction codes; Linear code; Modulation coding; Upper bound;
Conference_Titel :
Global Telecommunications Conference, 2000. GLOBECOM '00. IEEE
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-6451-1
DOI :
10.1109/GLOCOM.2000.891252
