Skip to main content
SpringerLink
Log in

MQAM Performance over Nakagami channels with diversity

performances de la Modulation D’amplitude en Quadrature Maire sur des Canaux D’Évanouissement de Nakagami Avec RÉception en DiversitÉ

  • Published:
Annales Des Télécommunications Aims and scope Submit manuscript

Abstract

This paper presents the error probability performance for M-ary quadrature amplitude modulation (mqam) signalling with L-branch diversity receiver over Nakagami fading channel. Both maximal ratio combining (mrc) and selection diversity combining (sdc) techniques are considered with reference to predetection diversity architecture, in the case of integer values of fading severity and independent fading. Average symbol error probability is analitycally derived in terms of finite sum of Gauss hypergeometric functions for balanced branches with identical values of the fading severity. In particular, performance analysis of sdc for mqam in Nakagami fading is new since it has not been presented in any previous work. Numerical results are presented allowing to identify those operational conditions in which diversity techniques can aid successfully in counteracting the effects of slow and nonselective short-term fading.

Résumé

Ľarticle étudie la probabilité ďerreur du maq m-aire qui est obtenue avec une diversité à l branches. Il analyse les combinaisons de signaux à rapport maximal (mrc) et à sélection (sdc) avant détection, pour des valeurs entières de la sévérité ďévanouissement et des évanouissements indépendants. La probabilité ďerreur majeure par symbole est exprimée analytiquement par une somme finie de fonctions hypergéométriques gaussiennes pour des branches équilibrées ayant des valeurs identiques de sévérité ďévanouissement. Ľanalyse est originale dans le cas sdc. Des résultats numériques permettent ďidentifier dans quelles conditions opérationnelles les techniques de diversité sont efficaces contre les effets ďévanouissements lents non sélectifs.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Nakagami (M.), Them-distribution — A general formula of intensity distribution of rapid fading,Statistical Methods in Radio Wave Propagation,Hoffman (W.G.) Editor,Pergamon Press (1960), pp. 3–36.

  2. Charash (U.), Reception through Nakagami fading multipath channels with random delay,IEEE Trans. on Communications (1979),COM-27, pp. 657–670.

    Article  Google Scholar 

  3. Miyagaki (Y.), Morinaga (N.), Namekawa (T.), Error probability characteristics for cpsk signal throughm-distributed fading channel,IEEE Trans. on Communications (1978),COM-26, pp. 88–100.

    Article  Google Scholar 

  4. Turin (G.L.), Jewell (W.S.), Johnston (T.L.), Simulation of urban vehicle monitoring systems,IEEE Trans. on Vehicular Technology (1972),VT-21, pp. 9–16.

    Article  Google Scholar 

  5. Suzuki (H.), A statistical model for urban radio propagation.IEEE Trans. on Communications (1977),COM-25, pp. 673–680.

    Article  Google Scholar 

  6. Al-Hussaini (E.K.), Al-Bassiouni (A. A. M.), Performance of mrc diversity systems for the detection of signals with Nakagami fading,IEEE Trans. on Communications (1985),COM-33, pp. 1315–1319.

    Article  MathSciNet  Google Scholar 

  7. Fontan (F.P.), Castro (M.A.V.), Kunisch (J.), Pamp (P.), Zollinger (E.), Buonomo (S.), Baptista (P.), Arbesser (B.), A versatile framework for a narrow and wide-band statistical propagation model for the LMS channel,IEEE Trans. on Broadcasting (1997),43, pp. 431–458.

    Article  Google Scholar 

  8. Lu (J.), Tjhung (T.T.), Chai (C.C.), Error probability performance ofL-branch diversity reception of mqam in Rayleigh fading,IEEE Trans. on Communications (1998),46, pp. 179–181.

    Article  Google Scholar 

  9. Annamalai (A.), Tellambura (C.), Bhargava (V.K.), Exact evaluation of maximal-ratio and equal-gain diversity receivers for M-ary QAM on Nakagami fading channels,IEEE Trans. on Communications (1999),47, pp. 1335–1344.

    Article  Google Scholar 

  10. Proakis (J.),Digital Communications, 2nd Ed., McGraw-Hill (1989).

  11. Abramowitz (M.),Stegun (I.), Handbook of Mathematical Functions, Dover (1970).

  12. Fedele (G.), N-Branch diversity reception of M-ary dpsk signals in slow and nonselective Nakagami fading,ETT — European Transactions on Telecommunication (1996),7, pp. 119–123.

    Article  Google Scholar 

  13. Gradshteyn (I.),Ryzhik (I.),Tables of Integrals, Series and Products, 5th Ed., Academic Press (1994).

Download references

Author information

Authors and Affiliations

  1. INFO-COM Dpt., Universita’ di Roma “La Sapienza”, Via Eudossiana, 18, 00184, Roma, Italy

    Gennaro Fedele

Authors
  1. Gennaro Fedele
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gennaro Fedele.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fedele, G. MQAM Performance over Nakagami channels with diversity. Ann. Télécommun. 56, 78–84 (2001). https://doi.org/10.1007/BF03002988

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03002988

Key words

Mots-clés

Search

Navigation