Skip to main content
Log in

Panorama des études sur les trajets multiples

An overview on multipath studies

  • Published:
Annales des Télécommunications Aims and scope Submit manuscript

Analyse

L’existence d’évanouissements rapides et très profonds sur les liaisons hertziennes en visibilité est connue depuis les années 40. On devait bientôt les attribuer à une propagation par trajets multiples et mettre en évidence leur propriété de sélectivité en fréquence. Depuis la fin de la dernière guerre, le phénomène n’a jamais vraiment cessé d’être étudié; ces études ont d’ailleurs connu un vif regain d’intérêt ces dernières années lorsqu’on s’est aperçu qu’il constituait la principale menace pour la qualité des liaisons numériques à grand débit. Cet article présente une revue critique des travaux publiés sur la propagation par trajets multiples en s’efforçant de souligner les lacunes qui subsistent et les axes d’études qui semblent les plus prometteurs. Cela a pour but de replacer les études du CNET, décrites dans les autres articles de ce numéro, dans un cadre plus général.

Abstract

Rapid and deep fadings affecting line of sight micro-wave links have been known since the fourties. They were soon attributed to multiple path propagation and their frequency selectivity was demonstrated. Since the end of second world war, this phenomenon has been a constant subject of work; it has even gained new interest in the last years, when it appeared it was the main cause of perturbations in high rate digital line of sight links. In this paper, we give a critical review of published work on multiple path propagation, trying to point out subsisting gaps in our knowledge, and studies which appear more promising. We thus intend to place CNET studies, described in other papers of this issue, in a more general perspective.

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

Bibliographie

  1. Sharpless (W. M.). Measurement of the angle of arrival of microwaves.Proc. IRE, USA (1946),34, pp. 837–845.

    Article  Google Scholar 

  2. Crawford (A. B.),Sharpless (W. M.). Further observations of the angle of arrival of microwaves.Proc. IRE, USA (1946),34, pp. 845–848.

    Article  Google Scholar 

  3. Crawford (A. B.),Jakes Jr (W. C.). Selective fading of microwaves.Bell. Syst. tech. J., USA (1952),31, n∘ 1, pp. 68–90.

    Google Scholar 

  4. De Lange (O. E.). Propagation studies at microwave frequencies by means of very short pulses.Bell. Syst. tech. J., USA (1952),31, n∘ 1, pp. 91–103.

    Google Scholar 

  5. Kaylor (R. L.). A statistical study of selective fading of super high frequency radio signals.Bell. Syst. tech. J., USA (1953),32, n∘ 9, pp. 1187–1202.

    Google Scholar 

  6. Giger (A. J.),Barnett (W. T.). Effects of multipath propagation on digital radio.IEEE Trans. COM, USA (1981),29, n∘ 9, pp. 1345–1352.

    Article  Google Scholar 

  7. Olsen (R. L.). Cross polarization during clear air conditions on terrestrial links: a review.Radio Science, USA (1981), n∘ 5, pp. 631–647.

  8. Leclert (A.),Vandamme (P.). Les dispositifs de lutte contre les effets des évanouissements sélectifs dans les faisceaux hertziens numériques. Etat de l’art et perspective.Ann. Télécom., Fr (1985),40, n∘ 11–12, pp. 634–650.

    Google Scholar 

  9. Sylvain (M.). Etude des trajets multiples sur les liaisons hertziennes en visibilité: synthèse bibliographique. Note Technique CNET/CRPE/133, Fr. (1984).

  10. Colavito (C.). A statistical study of fading in line of sight microwave radio links.Alta Frequenza, Ital. (1970),39, n∘ 11, pp. 964–973.

    Google Scholar 

  11. Gudmansen (P.),Larsen (B. F.). Statistical data for microwave propagation measurements on two oversea paths in Denmark.IRE Trans. AP, USA (1957),5, n∘ 3, pp. 255–59.

    Google Scholar 

  12. Lin (S. H.). Statistical behavior of a fading signal.Bell. Syst. tech. J., USA (1971),50, n∘ 10, pp. 3211–3270.

    MATH  Google Scholar 

  13. Sasaki (O.),Akiyama (T.). Characteristics of fadeout and fade speed in microwave radio links.Rev. Elec. Comm. Lab., Japon (1977),25, n∘ 3–4, pp. 315–323.

    Google Scholar 

  14. Derennes (J.). Etudes statistiques relatives à la propagation par trajets multiples. Note Technique CNET TCR/APH/60, Fr (1979).

  15. Tattersall (R. L. O.),Cartwright (N. E.). Multipath propagation data collected from tests on line of sight radio paths at 11, 20 and 37 GHz during the period 1972–1975.Research Department Report 594.British Post Office Research Center, UK (1977).

    Google Scholar 

  16. Beckmann (P.). Rayleigh distribution and its generalizations.Radio Science, USA (1964),68 D, n∘ 9, pp. 927–932.

    MathSciNet  Google Scholar 

  17. Boithias (L.). Multipath propagation in line of sight links.Electron. Lett., UK (1979),15, n∘ 7, pp. 209–210.

    Article  Google Scholar 

  18. Boithias (L.). Distribution statistique des niveaux reçus en propagation par trajets multiples troposphériques.Ann. Télécommunic., Fr (1981),36, n∘ 5–6, pp. 329–337.

    Google Scholar 

  19. Barnett (W. T.). Multipath propagation at 4, 6 and 11 GHz.Bell. Syst. tech. J., USA (1972),51, n∘ 2, pp. 321–361.

    MathSciNet  Google Scholar 

  20. Stephansen (E. T.),Mogensen (G. E.). Experimental investigation of some effects of multipath propagation on line of sight path at 14 GHz.IEEE Trans. COM., USA (1979),27, n∘ 3, pp. 643–647.

    Article  Google Scholar 

  21. Bergmann (H. J.). An experimental study of the path length dépendance of multipath fading.IEEE International Conference on Communications, USA (1981), 68.4.1/68.4.4.

  22. Vigants (A.). Number and duration of fades at 6 and 4 GHzBell. Syst. tech. J., USA (1971),50, n∘ 3, pp. 815–841.

    Google Scholar 

  23. Rooryck (M.), Juy (M.). Résultats de 5 ans de mesures à 13 GHz sur un trajet de 53 km. Note Technique CNET TCR/APH/43, Fr (1977).

  24. Martin (L.). Rates of change of propagation medium transfer functions during selective fading. Proceedings ofursi.Commission F Symposium, Louvain, Belgique (9–15 juin 1983), ESA-SP-194, pp. 31–35.

  25. Staras (H.). Diversity reception with correlated signals.J. Appl. Phys., USA (1956),27, n∘ 1, pp. 93–94.

    Article  Google Scholar 

  26. Vigants (A.). Variations of space diversity performance on line of sight links.Proc. IEEE, USA (1967),55, pp. 595–596.

    Article  Google Scholar 

  27. Vigants (A.). Space diversity performance as a function of antenna separation.IEEE Trans. COM, USA (1968),16, n∘ 6, pp. 831–836.

    Article  Google Scholar 

  28. Vigants (A.). The number of fades in space diversity reception.Bell. Syst. tech. J., USA (1970),49, n∘ 7, pp. 1513–1530.

    Google Scholar 

  29. Barnett (W. T.). Microwave line of sight propagation with and without frequency diversity.Bell. Syst. tech. J., USA (1970),49, n∘ 8, pp. 1827–1871.

    Google Scholar 

  30. Mayrargue (S.). Caractérisation paramétrique de la fonction de transfert d’un canal radioélectrique en vue de l’évaluation du taux d’erreur.Ann. Télécommunic., Fr. (1985),40, n∘ 11–12, pp. 626–633.

    Google Scholar 

  31. Marino (H.),Morita (K.). Design of space diversity receiving and transmitting systems for line of sight micro-wave links.IEEE Trans. COM, USA (1967),15, n∘ 4, pp. 603–613.

    Article  Google Scholar 

  32. Lavergnat (J.),Sylvain (M.). Analyse théorique d’un canal de propagation en présence de trajets multiples.Ann. Télécommunic., Fr. (1985),40, n∘ 11–12, pp. 572–583.

    Google Scholar 

  33. Rummler (W. D.). Time-and frequency-domain representation of multipath fading on line of sight microwave paths.Bell Syst. tech. J., USA (1980),59, n∘ 5, pp. 763–796.

    Google Scholar 

  34. Babler (G. M.). A study of frequency selective fading for a microwave line of sight narrowband radio channel.Bell. Syst. tech. J., USA (1972),51, n∘ 3, pp. 731–757.

    Google Scholar 

  35. Subramanian (M.),O’Brien (K. C.),Puglis (P. J.). Phase dispersion characteristics during fade in a microwave line of sight radio-channel.Bell. Syst. tech. J., USA (1979),52, n∘ 10, pp. 1877–1902.

    Google Scholar 

  36. Liniger (M.). Sweep measurements of the transfer function of a R.F. channel and their representation by polynomials.IEEE International Conference on Communications, USA (1982), pp. 7 B.3.1–7 B.3.5.

  37. Liniger (M.). One year results of sweep measurements of a radio link.IEEE International Conference on Communications (1983), pp. C.2.3.1.–C.2.3.5.

  38. Greenstein (L. J.). A multipath fading model for terrestrial digital radio systems.IEEE Trans. COM, USA (1978),26, n∘ 8, pp. 1247–1250.

    Article  Google Scholar 

  39. Greenstein (L. J.),Czekaj (B. A.). A polynomial model for multipath fading channel responses.Bell Syst. tech. J., USA (1980),59, n∘ 7, pp. 1197–1225.

    Google Scholar 

  40. Rummler (W. D.). A multipath channel model for line of sight digital radio systems.IEEE International Conference on Communications, USA (1978), pp. 47.5.1/47.5.4.

  41. Rummler (W. D.). A new selective fading model: application to propagation data.Bell Syst. tech. J., USA (1979),58, n∘ 5, pp. 1037–1071.

    Google Scholar 

  42. Sakagami (S.),Hosoya (Y.). Some experimental results on in-band amplitude dispersion and a method for estimating in band linear amplitude dispersion.IEEE Trans. COM, USA (1982),30, n∘ 8, pp. 1875–1887.

    Article  Google Scholar 

  43. Sylvain (M.),Lavergnat (J.). Modelling the transfer function in medium bandwidth radio channels during multipath propagation.Ann. Télécommunic., Fr. (1985),40, n∘ 11–12, pp. 584–603.

    Google Scholar 

  44. Lavergnat (J.),Sylvain (M.). Statistiques de la fonction de transfert par trajets multiples pour les largeurs de bande moyenne. Application à la prévision de qualité.Ann. Télécommunic., Fr. (1985),40, n∘ 11–12, pp. 604–616.

    Google Scholar 

  45. Lundgren (C. W.),Rummler (W. D.). Digital radio outage due to selective fading. Observation vs prediction from laboratory simulation.Bell. Syst. tech. J., USA (1979),58, n∘ 5, pp. 1073–1100.

    Google Scholar 

  46. Emshwiller (M.). Characterization of the performance ofpsk digital radio transmission in the presence of multi-path fading.IEEE International Conference on Communications (1978), pp. 47.3.1/47.3.6.

  47. Levy (A.). Performances en probabilité des modulations à grand nombre d’états en période d’évanouissement sélectif.Ann. Télécommunic., Fr. (1985),40, n∘ 11–12, pp. 617–625.

    Google Scholar 

  48. Turner (D.),Easterbrook (B. J.),Golding (J. E.). Expérimental investigation of line of sight propagation at 11.0–11.5 Gc/s.Proc. 1EE, UK (1966),113, n∘ 9, pp. 1477–1489.

    Google Scholar 

  49. Meadows (R. W.),Lindgren (R. E.),Samuel (J. C.). Measurement of multipath propagation over a line of sight radio link at 4 Gc/s using frequency sweep technique.Proc. IEE, UK (1966),113, n∘ 1, pp. 41–48.

    Google Scholar 

  50. Inoue (T.),Akiyama (T.). Propagation characteristics on line of sight over-sea paths in Japan.IEEE Trans. AP, USA (1974),22, n∘ 4, pp. 557–565.

    Google Scholar 

  51. Christensen (E. L.). 13.5–15 GHz sweep amplitude and phase propagation measurements.ESA Publication (1975), SP 113, pp. 249–256.

  52. Mogensen (G.). Analysis of 13.5–15 GHz amplitude and phase propagation data.ESA Publication (1975), SP 113, pp. 257–263.

  53. Sandberg (J.). Multipath parameters from swept measurements.Proc. of URSI comm. F. Symposium, La Baule (avril–mai 1977), pp. 441–446.

  54. Sandberg (J.). Multipath parameters and multipath propagation related to PSKCommunication.Ph. D Thesis. Technical University of Denmark. Electromagnetics Institute. Rapport LD 34 (1978).

  55. Sandberg (J.). Extraction of multipath parameters from swept measurements on a line of sight path.IEEE Trans. AP, USA (1980),28, n∘ 6, pp. 743–750.

    Google Scholar 

  56. Martin (L.). Etude de la sélectivité des évanouissements dus aux trajets multiples.Ann. Télécommunic., Fr. (1980),35, n∘ 11–12, pp. 482–487.

    Google Scholar 

  57. Martin (L.). Relative amplitudes and delays of rays during multipath fadings.Proc. of IEE International Conf. on Ant. and Propag., York, UK (avril 1981).

  58. Martin (L.). Statistical results on selective fadings.IEEE International conference on Communications, Philadelphie, USA (juin 1982).

  59. Sylvain (M.), Baudin (F.), Klapisz (C.), Lavergnat (J.), Mayrargue (S.), Mon (J. P.), Nutten (B.), Rooryck (M.), Martin (L.). Thepacem experiment on line of sight multipath propagation.Proceedings of URSI. Commission F Symposium, Louvain, Belgique (9–15 juin 1983), ESA-SP-194, pp. 13–23.

  60. Tattersall (R. L. O.), Barnes (B. C.), Cartwright (N. E.). Multipath transmission tests at 11, 20 and 37 GHz.IEE Conference publication, 98, UK (1973), pp. 65–69.

  61. Ugai (S.). Characteristics of fading due to ducts and quantitative estimation of fading.Rev. Electric. Com. Lab., Japon (1961),9, n∘ 56, pp. 319–360.

    Google Scholar 

  62. Ikegami (F.). Influence of an atmospheric duct on micro-wave fading.IRE Trans. AP, USA (1959),7, n∘ 3, pp. 252–257.

    Google Scholar 

  63. Ikegami (F.),Haga (M.),Fukuda (T.),Yoshida (H.). Expsrimental studies on atmospheric ducts and micro-wave fading.Rev. Electric. Com. Lab., Jap. (1966),14, n∘ 7–8, pp. 503–533.

    Google Scholar 

  64. Ikegami (F.). Analyses of microwave fading due to laminar structure of the atmospheric refractive index.Rev. Electric Com. Lab., Japon (1967),15, n∘ 7–8, pp. 483–506.

    Google Scholar 

  65. Sasaki (O.),Akiyama (T.). Studies on radio duct occurrence and properties.IEEE Trans. AP, USA (1982),30, n∘ 5, pp. 853–858.

    Google Scholar 

  66. Chavance (P.),Boithias (L.),Blassel (P.). Etude de propagation d’ondes centimétriques dans la région méditerranéenne.Ann. Télécommunic., Fr. (1954),9, n∘ 6, pp. 158–185.

    Google Scholar 

  67. Schiavone (J. A.). Meteorological parameters affecting line of sight microwave fading.IEEE International Conference on Communications, USA (1981), pp. 68.5.1/68.5.3.

  68. Claverie (J.),Klapisz (C.). Meteorological features leading to multipath propagation observed in thePacem experiment.Ann. Télécommunic., Fr. (1985),40, n∘ 11–12, pp. 660–671.

    Google Scholar 

  69. Klapisz (C.),Weill (A.). Modélisation de la couche limite nocturne. Application au calcul de l’évolution du profil d’indice.Ann. Télécommunic., Fr. (1985),40, n∘ 11–12, pp. 672–679.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sylvain, M. Panorama des études sur les trajets multiples. Ann. Telecommun. 40, 547–564 (1985). https://doi.org/10.1007/BF02997451

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02997451

Mots clés

Key words

Navigation