First-Order Statistics of a Non-Rayleigh Fading Signal and Its Detection

Proceedings of the IEEE

Volumn 66, Issue 7, 1978, Pages 781-789

  Jao, Jen King ^a   Elbaum, Marek ^a  

^a RIVERSIDE RESEARCH INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVES - PROPAGATION; INFORMATION THEORY - SIGNAL DETECTION; RADAR, OPTICAL - LASER APPLICATIONS;

RADIO TRANSMISSION;

EID: 0017995514     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/PROC.1978.11015     Document Type: Article

References (48)

1. H. L. Van Trees, Detection, Estimation, and Modulation Theory, Parts I and III. New York: Wiley and Sons, 1971, Part I p. 33, Part III p. 328 and p. 565.
2. J. C. Kluyver “A local probability problem,” Proc. Section of Sci., K. Akad. of Sci., D. Akad. van Wet. te Amsterdam, vol. 8, pp. 341–350, 1906.
3. W. J. Strutt, Lord Rayleigh “On the problem of random vibrations and of random flights in 1, 2, or 3 dimensions,” Phil. Mag., vol. 37, pp. 321–347, 1919.
4. M. Slack “The probability distributions of sinusoidal oscillations combined in random phase,” J. Inst. Elec. Eng. part 3, vol. 93, pp. 76–86, 1946.
5. W. R. Bennett “Distribution of the sum of randomly phased components,” Quart. J. Appl. Math., vol. 5, pp. 385–393, 1948.
6. J. A. Greenwood and D. Durand “The distribution of length and components of the sum of N random unit vectors,” Ann. Math. Stat., vol. 26, pp. 233–246, 1955.
7. S. O. Rice, “Mathematical analysis of random noise,” in Selected Papers on Noise and Stochastic Processes, N. Wax, Ed. New York: Dover, 1954.
8. R. Barakat “First-order statistics of combined random sinusoidal waves with applications to laser speckle patterns,” Opt. Acta., vol. 21, pp. 903–921, 1974.
9. R. Esposito and L. R. Wilson “Statistical properties of two sine waves in Gaussian noise,” IEEE Trans. Inform. Theory, vol. IT-19, pp. 176–183, 1973.
10. J. Goldman “Statistical properties of a sum of sinusoids and gaussian noise and its generalization to higher dimensions,” Bell Syst. Tech. J., vol. 53, pp. 557–580, 1974.
11. A. Norton, L. E. Vogler, W. V. Mansfield, and P. J. Short “The probability distribution of the amplitude of a constant vector plus a Rayleigh distributed vector,” Proc. IRE, vol. 43, pp. 1354–1361, 1955.
12. K. BuJiington “Radio propagation fundamentals,” Bell Syst. Tech. J., vol. 36, pp. 593–626, 1957.
13. S. H. Lin “Statistical behavior of a fading signal,” Bell Syst. Tech. J., vol. 50, pp. 3211–3271, 1971.
14. W. T. Barnett “Microwave line-of-sight propagation with and without frequency diversity,” Bell Syst. Tech. J., vol. 49, pp. 1827–1871, 1970.
15. A. Vigants “Number and duration of fades at 6 and 4 GHz,” Bell Syst. Tech. J., vol. 50, pp. 815–841, 1971.
16. W. T. Barnett “Multipath propagation at 4, 6, and 11 GHz,” Bell Syst. Tech. J., vol. 51, pp. 321–361, 1972.
17. S. H. Lin “Impact of microwave depolarization during multipath fading on digital radio performance,” Bell Syst. Tech. J., vol. 56, pp. 645–674, 1977.
18. T. O. Mottl “Dual-polarized channel outages during multipath fading,” Bell Syst. Tech. J., vol. 56, pp. 675–701, 1977.
19. T. Inoue and T. Akiyama “Propagation characteristics on line-of-sight over-sea paths in Japan,” IEEE Trans. Antennas Propagat., vol. AP-22, pp. 557–565, 1974.
20. J. M. Headrick and M. I. Skolnik “Over-the-horizon radar in the HF band,” Proc. IEEE, vol. 62, pp. 664–673, 1974.
21. K. L. Jordan, Jr. “Measurement of multipath effects in a satellite-aircraft UHF link,” Proc. IEEE, vol. 55, pp. 1117–1118, 1967.
22. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces. New York: Macmillan, 1963.
23. G. V. Trunk “Radar properties of non-Rayleigh sea clutter.” IEEE Trans. Aerospace and Electron. Syst., vol. AES-8, pp. 196–204, 1972.
24. D. E. Barrick, J. M. Headrick, R. W. Bogle, and D. D. Crombie “Sea backscatter at HF: Interpretation and utilization of the echo,” Proc. IEEE, vol. 62, pp. 673–680, 1974.
25. F. G. Bass, S. Ya Brande, I. M. Fuks, A. I. Kalmyko, A. V. Megn, I. E. Ostrovsky, and A. D. Rosenberg “Radiophysical investigations of the sea roughness (radio-oceanography) at the Ukrainian Academy of Sciences,” IEEE Trans. Antennas Propagat., vol. AP-25, pp. 43–52, 1977.
26. M. W. Long “On a two-scatterer theory of sea echo,” IEEE Trans. Antennas Propagat., vol. AP-22, pp. 667–672, 1974.
27. A. I. Kalmyko and V. V. P. Pustovoytenki “On polarization features of radio signals scattered from the sea surface at small grazing angles,” J. Geophys. Res., vol. 81, pp. 1960–1964, 1976.
28. D. E. Barrick and J. B. Snider “The statistics of HF sea-echo doppler spectra,” IEEE Trans. Antennas Propagat., vol. AP-25, pp. 19–28, 1977.
29. E. Jakeman and P. N. Pusey “A model for non-Rayleigh sea echo,” IEEE Trans. Antennas Propagat., vol. AP-24, pp. 806–814, 1976.
30. J. K. Marcum “A statistical theory of target detection by pulsed radar,” IRE Trans. Inform. Theory, vol. IT-6, pp. 59–268, 1960.
31. P. Swerling “Probability of detection for fluctuating targets,” IRE Trans. Inform. Theory, vol. IT-6, pp. 269–308, 1960.
32. R. L. Mitchell “Models of extended targets and their coherent radar images,” Proc. IEEE, vol. 62, pp. 754–758, 1974.
33. J. K. Jao and M. Elbaum “Probability distribution of optical amplitude scattered from a rough object containing multiple glints,” J. Opt. Soc. Amer., vol. 67, pp. 1266–1269, 1977.
34. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, Ed. New York: Springer-Verlag, 1975.
35. D. L. Fried “Statistics of the laser radar cross section of a randomly rough target,” J. Opt. Soc. Amer., vol. 66, pp. 1150–1160, 1976.
36. J. Goldman “Multiple error performance of PSK systems with cochannel interference and noise,” IEEE Trans. Commun., vol. Com-19, pp. 420–430, 1971.
37. H. Hodara “Statistics of thermal and laser radiation,” Proc. IEEE, vol. 53, pp. 696–704, 1965.
38. E. Jakeman, J. G. McWhirter, and P. N. Pusey “Enhanced fluctuations in radiation scattered by a moving random phase screen,” J. Opt. Soc. Amer., vol. 66, pp. 1175–1182, 1976.
39. E. Jakeman and P. N. Pusey, “The statistics of light scattered by a random phase screen,” J. Phys. A: Math. Nucl. Gen., vol. 6, pp. L88–L92, 1973.
40. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Function of Mathematical Physics. New York: Springer-Verlag, 1966, pp. 242–243.
41. J. V. DiFranco and W. L. Rubin, Radar Detection. Englewood Cliffs, NJ: Prentice-Hall, 1968, p. 310.
42. J. W. Goodman “Some effects of target-induced scintillation on optical radar performance,” Proc. IEEE, vol. 53, pp. 1688–1700, 1965.
43. M. Elbaum and P. Diament “SNR in photocounting images of rough objects in partially coherent light,” Appl. Opt., vol. 15, pp. 2268–2274, 1976.
44. M. Elbaum, P. Diament, M. King, and W. Edelson “Maximum angular accuracy of pulsed laser radar in photocounting limit,” Appl. Opt., vol. 16, pp. 1982–1992, 1977.
45. D. K. Barton “Low-angle radar tracking,” Proc. IEEE, vol. 62, pp. 687–704, 1974.
46. Comment of one of the anonymous reviewers of this paper.
47. L. J. Porcello, N. G. Nassey, R. B. Innes, and J. M. Marks “Speckle reduction in synthetic aperture radars,” J. Opt. Soc. Amer., vol. 66, pp. 1305–1311, 1976.
48. R. Courant and F. John, Introduction to Calculus and Analysis, vol. 1. New York: Wiley, 1968, p. 616.