Title :
On the Error Exponents of Improved Tangential-Sphere Bounds
Author :
Twitto, Moshe ; Sason, Igal
Author_Institution :
Department of Electrical Engineering, Technion - Israel Institute of Technology, Haifa 32000, Israel. Email: tmoshe@tx.technion.ac.il
Abstract :
The performance of maximum-likelihood (ML) decoded binary linear block codes over the AWGN channel is addressed via the tangential-sphere bound (TSB) and two of its recent improved versions. Although it was exemplified that some recent improvements of the TSB tighten this bound for finite-length codes, it is demonstrated in this paper that their error exponents coincide. For an arbitrary ensemble of binary linear block codes, the common value of these error exponents is explicitly expressed in terms of the asymptotic growth rate of the average distance spectrum.
Keywords :
AWGN channels; Additive white noise; Binary phase shift keying; Block codes; Error probability; Linear code; Maximum likelihood decoding; Modulation coding; Pairwise error probability; Upper bound;
Conference_Titel :
Electrical and Electronics Engineers in Israel, 2006 IEEE 24th Convention of
Conference_Location :
Eilat, Israel
Print_ISBN :
1-4244-0229-8
Electronic_ISBN :
1-4244-0230-1
DOI :
10.1109/EEEI.2006.321119
