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

Volume

2

fYear

2000

fDate

2000

Firstpage

816

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Global Telecommunications Conference, 2000. GLOBECOM '00. IEEE

Conference_Location

San Francisco, CA

Print_ISBN

0-7803-6451-1

Type

conf

DOI

10.1109/GLOCOM.2000.891252

Filename

891252