Error exponents for the two-user Poisson multiple-access channel

被引:17
作者
Bross, SI [1 ]
Burnashev, MV
Shamai, S
机构
[1] Technion Israel Inst Technol, Dept Elect Engn, IL-32000 Haifa, Israel
[2] Russian Acad Sci, Inst Problems Informat Transmiss, Moscow 101447, Russia
关键词
error exponents; multiple-access channels; optical code division multiple access (CDMA); Poisson channels;
D O I
10.1109/18.930933
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The error exponent of the two-user Poisson multiple-access channel under peak and average power constraints, but unlimited in bandwidth, is considered. First, a random coding lower bound on the error exponent is obtained, and an extension of Wyner's single-user codes [1] is shown to be exponentially optimum for this case as well, Second, the sphere-packing bounding technique suggested in [3] is generalized to the case at hand and an upper bound on the error exponent, which coincides with the lower bound, is derived. Thus, this channel joins its single-user partner as one of very few for which the reliability function is known.
引用
收藏
页码:1999 / 2016
页数:18
相关论文
共 23 条
[1]   LIMITATIONS OF THE CAPACITY OF THE M-USER BINARY ADDER CHANNEL DUE TO PHYSICAL CONSIDERATIONS [J].
BARDAVID, I ;
PLOTNIK, E ;
ROM, R .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (03) :662-673
[2]  
Burnashev M.V., 1999, PROBL INFORM TRANSM, V5, p[3, 95]
[3]  
Cover T. M., 2005, ELEM INF THEORY, DOI 10.1002/047174882X
[4]   CAPACITY AND CUTOFF RATE FOR POISSON-TYPE CHANNELS [J].
DAVIS, MHA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1980, 26 (06) :710-715
[5]   A PERSPECTIVE ON MULTIACCESS CHANNELS [J].
GALLAGER, RG .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1985, 31 (02) :124-142
[6]  
GALLAGER RG, 1988, PROCEEDINGS OF THE 22ND CONFERENCE ON INFORMATION SCIENCES AND SYSTEMS, VOLS 1 & 2, P372
[7]  
GALLAGER RG, 1968, INFORMATION THEORY R
[8]  
GALLAGER RG, 1988, LIDSP1714 MIT
[9]   Error exponents for the Gaussian Multiple-Access Channel [J].
Guess, T ;
Varanasi, MK .
1998 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 1998, :214-214
[10]   CAPACITY OF A CHANNEL OF THE POISSON TYPE [J].
KABANOV, YM .
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1978, 23 (01) :143-147