Title :
A performance comparison of the binary quadratic residue codes with the 1/2-rate convolutional codes
Author :
Chen, Xuemin ; Reed, Irving S. ; Truong, T.K.
Author_Institution :
Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
fDate :
1/1/1994 12:00:00 AM
Abstract :
The 1/2-rate binary quadratic residue (QR) codes, using binary phase-shift keyed (BPSK) modulation and hard decoding, are presented as an efficient system for reliable communication. Performance results of error correction are obtained both theoretically and by means of computer calculations for a number of binary QR codes. These results are compared with the commonly used 1/2-rate convolutional codes with constraint lengths from 3 to 7 for the hard-decision case. The binary QR codes of different lengths are shown to be equivalent in error-correction performance to some 1/2-rate convolutional codes, each of which has a constraint length K that corresponds to the error-control rate d/n and the minimum distance d of the QR codes
Keywords :
binary sequences; block codes; convolutional codes; cyclic codes; decoding; error correction codes; error statistics; phase shift keying; 1/2-rate convolutional codes; binary QR codes; binary phase-shift keyed modulation; binary quadratic residue codes; constraint lengths; error correction; error-control rate; hard decoding; hard-decision case; minimum distance; reliable communication; Binary phase shift keying; Block codes; Computer errors; Convolutional codes; Decoding; Error correction codes; Error probability; Modulation coding; Phase modulation; Signal to noise ratio;
Journal_Title :
Information Theory, IEEE Transactions on
