Optimum quantizer design for the weighted erasure decoding algorithm

Author

Chen, Wu-Hsiang Jonas ; Fossorier, Marc P C ; Lin, Shu

Author_Institution

Dept. of Electr. Eng., Washington Univ., Seattle, WA, USA

Volume

2

fYear

1999

fDate

1999

Firstpage

838

Abstract

In this study, error performance analysis and simulation results are provided for the weighted erasure decoding (WED) of binary linear block codes on Q-ary output channel. In particular, the optimum channel quantizer for WED is derived and compared with WED designed based on the cutoff rate criterion, as traditionally proposed. Simulations are conducted for the (64, 42, 8) Reed-Muller (RM) code on 4-ary and 8-ary output channels. For Q=8 and the bit error rate (BER) 10^-4, the WED with optimum quantizer has a 0.65 dB coding gain over the WED with cutoff rate quantizer and a 1.0 dB coding gain over algebraic decoding

Keywords

binary codes; block codes; decoding; error statistics; linear codes; optimisation; quantisation (signal); 4-ary output channel; 8-ary output channel; BER; Q-ary output channel; Reed-Muller code; algebraic decoding; binary linear block codes; bit error rate; coding gain; cutoff rate criterion; error performance analysis; optimum channel quantizer; optimum quantizer design; simulation results; simulations; weighted erasure decoding algorithm; AWGN; Algorithm design and analysis; Analytical models; Binary phase shift keying; Bit error rate; Block codes; Decoding; Gain; Performance analysis; Quantization;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, 1999. ICC '99. 1999 IEEE International Conference on

Conference_Location

Vancouver, BC

Print_ISBN

0-7803-5284-X

Type

conf

DOI

10.1109/ICC.1999.765391

Filename

765391