Skip to main content
Log in

On the user capacity for a multiple-access system in a vector disjunctive channel with errors

  • Coding Theory
  • Published:
Problems of Information Transmission Aims and scope Submit manuscript

Abstract

We consider a multiple-access system in which each user is given q out of Q available subchannels (q ≪ Q). We investigate capacities of two channels emerging in the system under consideration in the case of single-user reception. These channels can be considered as modifications of the A-channel. In the first case we assume that a signal transmitted by a certain user is always registered by the receiver. Thus, activity of other users is the only obstacle to correct reception of information transmitted by a certain user in the multiple-access system. In the second case we assume that the output of each subchannel is inverted with probability p. Analytical expressions (both asymptotic and nonasymptotic) are derived and investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Chang, S.-C. and Wolf, J.K., On the T-User M-Frequency Noiseless Multiple-Access Channels with and without Intensity Information, IEEE Trans. Inform. Theory, 1981, vol. 27, no. 1, pp. 41–48.

    Article  MATH  MathSciNet  Google Scholar 

  2. Tsang, T.K.K. and El-Gamal, M.N., Ultra-Wideband (UWB) Communications Systems: An Overview, in Proc. 3rd Int. IEEE-NEWCAS Conf., Quebec City, Canada, 2005, pp. 381–386.

  3. Witrisal, K., Leus, G., Janssen, G.J.M., Pausini, M., Troesch, F., Zasowski, T., and Romme, J., Noncoherent Ultra-Wideband Systems, IEEE Signal Process. Mag., 2009, vol. 26, no. 4, pp. 48–66.

    Article  Google Scholar 

  4. Zigangirov, K.Sh., Popov, S.A., and Chepyzhov, V.V., Nonbinary Convolutional Coding in Channels with Jamming, Probl. Peredachi Inf., 1995, vol. 31, no. 2, pp. 84–101 [Probl. Inf. Trans. (Engl. Transl.), 1995, vol. 31, no. 2, pp. 169–183].

    MathSciNet  Google Scholar 

  5. Wilhelmsson, L. and Zigangirov, K.Sh., On the Asymptotic Capacity of a Multiple-Access Channel, Probl. Peredachi Inf., 1997, vol. 33, no. 1, pp. 12–20 [Probl. Inf. Trans. (Engl. Transl.), 1997, vol. 33, no. 1, pp. 9–16].

    MathSciNet  Google Scholar 

  6. Bassalygo, L.A. and Pinsker, M.S., Evaluation of the Asymptotics of the Summarized Capacity of an M-Frequency T -User Noiseless Multiple-Access Channel, Probl. Peredachi Inf., 2000, vol. 36, no. 2, pp. 3–9 [Probl. Inf. Trans. (Engl. Transl.), 2000, vol. 36, no. 2, pp. 91–97].

    MathSciNet  Google Scholar 

  7. Gober, P. and Han Vinck, A.J., Note on “On the Asymptotic Capacity of a Multiple-Access Channel” by L. Wilhelmsson and K.Sh. Zigangirov, Probl. Peredachi Inf., 2000, vol. 36, no. 1, pp. 21–25 [Probl. Inf. Trans. (Engl. Transl.), 2000, vol. 36, no. 1, pp. 19–22].

    Google Scholar 

  8. Han Vinck, A.J. and Keuning, J., On the Capacity of the Asynchronous T -User M-Frequency Noiseless Multiple-Access Channel without Intensity Information, IEEE Trans. Inform. Theory, 1996, vol. 42, no. 6, pp. 2235–2238.

    Article  MATH  Google Scholar 

  9. Osipov, D.S., Frolov, A.A., and Zyablov, V.V., Multiple Access System for a Vector Disjunctive Channel, Probl. Peredachi Inf., 2012, vol. 48, no. 3, pp. 52–59 [Probl. Inf. Trans. (Engl. Transl.), 2012, vol. 48, no. 3, pp. 243–249].

    Google Scholar 

  10. Zigangirov, K.Sh., Theory of Code Division Multiple Access Communication, Piscataway: Wiley — IEEE Press, 2004.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. S. Osipov.

Additional information

Original Russian Text © D.S. Osipov, A.A. Frolov, V.V. Zyablov, 2013, published in Problemy Peredachi Informatsii, 2013, Vol. 49, No. 4, pp. 13–27.

Supported in part by the Russian Foundation for Basic Research, project no. 12-07-31035-mol a.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Osipov, D.S., Frolov, A.A. & Zyablov, V.V. On the user capacity for a multiple-access system in a vector disjunctive channel with errors. Probl Inf Transm 49, 308–321 (2013). https://doi.org/10.1134/S0032946013040029

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0032946013040029

Keywords

Navigation