Title :
Performance of binary block codes at low signal-to-noise ratios
Author :
Chao, Chi-chao ; Mceliece, Robert J. ; Swanson, Laif ; Rodemich, Eugene R.
Author_Institution :
Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan
fDate :
11/1/1992 12:00:00 AM
Abstract :
The performance of general binary block codes on an unquantized additive white Gaussian noise (AWGN) channel at low signal-to-noise ratios is considered. Expressions are derived for both the block error and the bit error probabilities near the point where the bit signal-to-noise ratio is zero. These expressions depend on the global geometric structure of the code, although the minimum distance still seems to play a crucial role. Examples of codes such as orthogonal codes, biorthogonal codes, the (24,12) extended Golay code, and the (15,6) expurgated BCH code are discussed. The asymptotic coding gain at low signal-to-noise ratios is also studied
Keywords :
BCH codes; block codes; telecommunication channels; white noise; (15,6) expurgated BCH code; (24,12) extended Golay code; AWGN channel; asymptotic coding gain; binary block codes; biorthogonal codes; bit error probability; block error probability; global geometric structure; low signal-to-noise ratios; minimum distance; orthogonal codes; unquantized additive white Gaussian noise; AWGN channels; Additive white noise; Block codes; Chaos; Error probability; Maximum likelihood decoding; Phase shift keying; Propulsion; Signal to noise ratio; Space technology;
Journal_Title :
Information Theory, IEEE Transactions on
