Bounds of E-capacity Region for Multiple-access Channel With Random Parameter

Authors

  • Mariam E. Haroutunian Institute for Informatics and Automation Problems of NAS RA

Abstract

The discrete memoryless multiple-access channel with random parameter is investigated. Various situations, when the state of the channel is known or unknown on the encoders and decoder, are considered. Some bounds of E-capacity and capacity regions for average error probability are obtained.

References

R.F.Ahlswede,"Multy-way communication channels",2nd Intern. Sympos. Inform. Theory. Tsahkadsor,Armenia, 1971, Budapest: Akad. Kiado, pp.23-52,1973.

R.F.Ahlswede," The capacity region of a channel with two senders and two receivers",AnnalsP robability, vol.2.no.2. pp.805-814,1974.

E.A.Haroutunian, M. E. Haroutunian and A .E.Avetissian,"Multiple-access channel achievable rates region and reliability",Izvestiya Akademii Nauk Armenii, Matematika, vol. 27,no.5, pp. 51-68,1992.

M. E. Haroutunian,"On E-capacity region of multiple-access channel",(in Russian) Izvestiya Akademii Nauk Armenii, Matematika, vol.38, no.1,pp.3-22,2003.

R.G.Gallager,"Aperspective on multiaccess channels" ,IEEE Trans. Inform. Theory, vol.31,no.1,pp. 124-142,1985.

A.G.Dyachkov,"Random constant composition codes for multiple access channels",Problems of Control and Inform. Theory, vol.13, no.6, pp.357-369,1984.

J.Pokorny and H.M.Wallmeier, "Random coding bound and codes produced by permutations for the multiple-access channel",IEEE Trans. Inform. Theory, vol.IT-31,pp.741-750,1985.

Y .S.Liu and B. L. Hughes, " A new universal coding bound for the multiple-access channel" ,IEEE Trans. Inform. Theory, vol.IT-42, pp.376{386,1996.

S.I. Gelfand, M. S.Pinsker, " Coding for channel with random parameters",Problems of Control and Inform. Theory, vol.8, no. 1, pp. 19{31,1980.

E. A .Haroutunian and M. E.Haroutunian, "E-capacity upper bound for channel with random parameter",Problems of Control and Information Theory, vol.17,no.2,pp.99{105,1988.

M. E.Haroutunian, " Bounds of E-capacity for the channel with random parameter" ,Problemi Peredachi Informatsii,( in Russian) , vol.27, no.1 , pp.14{23,1991 .

M. E.Haroutunian, " New bounds for E-capacities of arbitrarily varying channel and channel with random parameter" , Trans.IIAP NAS RA and YSU, Mathematical Problems of Computer sciences, v.22, p. 44{59,2001 .

J.Jahn, "Coding of arbitrarily varying multiuser channels" , IEEE Trans. Inform. Theory, vol. IT-27,no. 2, pp. 212{226, 1981 .

R. F. Ahlswede, Arbitrarily varying channels with states sequence known to the sender, IEEE Trans. Inform. Theory, vol. IT-32, no. 5, pp. 621{629,1986.

R. F.Ahlswede and N . Cai, " Arbitrarily varying multiple access channels" , Part 1 , IEEE Trans. Inform. Theory, vol. IT-45, no. 2, pp. 742{749,1999.

R. F.Ahlswede and N .Cai, " Arbitrarily varying multiple access channels" , Part 2, IEEE Trans.Inform. Theory, vol. IT-45, no. 2, pp. 749{756,1999.

A. Das and P. Narayan, " Capacities of time-varying multiple-access channels with side information" , IEEE Transactions on Information Theory, vol. 48,no. 1 ,pp.4{25, 2002.

M. S.Pinsker, " Multi-user channels" , II Joint Swedish-Soviet Intern. workshop on Inform. Theory, Granna, Sweden, pp. 160-165, 1985.

I.Csiszar and J. Korner, Information Theory. Coding Theorems for Discrete Memoryless Systems, Budapest: Akad. Kiado,1981 .

I.Csiszar, " The method of types" ,IEEE Trans. Inform. Theory, vol. IT-44, pp.2505- 2523,1998.

Downloads

Published

2021-12-10

How to Cite

Haroutunian, M. E. . (2021). Bounds of E-capacity Region for Multiple-access Channel With Random Parameter. Mathematical Problems of Computer Science, 24, 42–61. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/568