Vol. 138
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2013-04-01
Statistical Characteristics of the Multi-Path Time Delay and Doppler Shift of a Radar Wave Propagating through the Ionosphere
By
Progress In Electromagnetics Research, Vol. 138, 479-497, 2013
Abstract
Multi-path time delay spread is a very important factor in the bit error rate of high-frequency ionospheric communication channels and in the target detection performance of over-the-horizon radars. In this study, the probability density distribution of multi-path time delay and Doppler shift of ionospheric radio signal are derived using Rayleigh fading. Moreover, the probability density distribution of time delay, average power of the received signal, and received signal variance are discussed in detail. Using a designed experimental circuit, the measured value of the multi-path time delay spread is obtained from three given radio paths by the sweep-frequency pulse sounding technique. The average value of the multi-path time delay spread that changes with the ratio K, which is the operating frequency of the basic maximum usable frequency, is also analyzed and fitted using the least-squares fitting method. Theoretical and statistical research shows that for a given radio path and specific frequency, the multi-path time delay spread approximately follows a normal distribution. The average time delay spread decreases with the increase in the ratio K; however, it eventually approaches a steady value. The results of this research provide an empirical reference for further prediction and estimation of the time delay spread of a radar wave propagating through the ionosphere.
Citation
Bao-Ke Ma, Li-Xin Guo, and Hongtao Su, "Statistical Characteristics of the Multi-Path Time Delay and Doppler Shift of a Radar Wave Propagating through the Ionosphere," Progress In Electromagnetics Research, Vol. 138, 479-497, 2013.
doi:10.2528/PIER13012506
References

1. Kandic, , M., G. E. Bridges, and , "Limits of negative group delay phenomenon in linear causal media," Progress In Electromagnetics Research, Vol. 134, 227-246, 2013.

2. Bello, , P. A., "Characterization of randomly time-variant linear channels," IEEE Transactions on Communications Systems,, Vol. 11, No. 4, 360- 393, 1963.
doi:10.1109/TCOM.1963.1088793

3. Maresca, , J. W., T. M. Georges, and , "Measuring rms wave height and the scalar ocean wave spectrum with HF skywave radar," J. Geophys. Res., Vol. 85, No. 26, 2759-2771, 1980.
doi:10.1029/JC085iC05p02759

4. Bell, , B. M., T. E. Ewart, and , "Separating multipaths by global optimization of multidimensional matched filter," IEEE Transaction on Acoustics, Speech, and Signal Processing, Vol. 34, No. 5, 1029-1037, 1986.
doi:10.1109/TASSP.1986.1164940

5. Zhang, , W., A. Hoorfar, and L. Li, "Through-the-wall target location with time reversal MUSIC method," Progress In Electromagnetics Research, Vol. 106, 75-89, 2010.
doi:10.2528/PIER10052408

6. Zhang, , X., G. Feng, and D. Xu, "Blind direction of angle and time delay estimation algorithm for uniform linear array employing multi-invariance MUSIC," Progress In Electromagnetics Research Letters, Vol. 13, 11-20, 2010.
doi:10.2528/PIERL09102611

7. Lizzi, L., F. Viani, M. Benedetti, P. Rocca, and A. Massa, "The M-DSO-ESPRIT method for maximum likelihood DOA estimation," ress In Electromagnetics Research, Vol. 80, 477-497, 2008.
doi:10.2528/PIER07121106

8. Ching, , P. C., H. C. So, and , "Two adaptive algorithms for multipath time delay estimation," IEEE Journal of Oceanic Symposium on Circuits and Systems, Vol. 19, No. 3, 458-463, 1994.

9. Qi, , C., Z. Zhao, W. Yang, Z.-P. Nie, and G. Chen, "Electromagnetic scattering and Doppler analysis of three-dimensional breaking wave crests at low-grazing angles," Progress In Electromagnetics Research, Vol. 119, 239-252, 2011.
doi:10.2528/PIER11062401

10. Zhang, , G. G., J. Wang, H. W. Li, and H. Huang, "Improved blind source extraction for time delay estimate in passive coherent location system," Progress In Electromagnetics Research B, Vol. 37, 257-274, 2012.
doi:10.2528/PIERB11102202

11. Shin, D. C., C. L. Nikias, and , "Estimation of frequency-delay of arrival (FDOA) using fourth-order statistics in unknown correlated Gaussian noise source," IEEE Transactions on Signal Processing, Vol. 42, No. 10, 2771-2780, 1994.
doi:10.1109/78.324742

12. Cheng, J., G. Gao, W. Ding, X. Ku, and J. Sun, "An improved scheme for parameter estimation of G± distribution model in high-resolution SAR images," Progress In Electromagnetics Research, Vol. 134, 23-46, 2013.

13. Booker, , H. G., J. A. Rateliffe, and D. H. Shinn, "Diffraction from an irregular screen with application to ionosphere problem," Phil. Trans. Roy. Soc., Vol. 242, No. 856, 579-607, 1950.
doi:10.1098/rsta.1950.0011

14. Essex, , E. A., F. H. Hibberd, and , "Auto-correlation of the fading of multiple echoes from the ionosphere," J. Atmos. Terr. Phys., Vol. 29, No. 8, 1025-1027, 1967.
doi:10.1016/0021-9169(67)90253-X

15. Baussard, , A., M. Rochdi, and A. Khenchaf, "PO/MEC-based scattering model for complex objects on a sea surface," Progress In Electromagnetics Research, Vol. 111, 229-251, 2011.
doi:10.2528/PIER10083005

16. Wang, , Y., Y.-M. Zhang, and L.-X. Guo, "Microwave Doppler spectra of sea echoes at high incidence angles: Influences of large-scale waves," Progress In Electromagnetics Research B, Vol. 48, 99-113, 2013.

17. Nie, D., M. Zhang, X. Geng, and P. Zhou, "Investigation on Doppler spectral characteristics of electromagnetic backscattered echoes from dynamic nonlinear surfaces of finite-depth sea," Progress In Electromagnetics Research, Vol. 130, 169-186, 2012.

18. From, , W. R., D. H. Meehan, and , "Mid-latitude spread-F structure," J. Atmos. Terr. Phys., Vol. 50, , No. 7, 629-638, 1988.
doi:10.1016/0021-9169(88)90061-X

19. Cornelius, , D. W., E. A. Essex, and , "HF Doppler observations associated with spread F," J. Geophys. Res., , Vol. 84, No. 4, 1361-1368, 1979.
doi:10.1029/JA084iA04p01361

20. Long, , X. L. and J. C. Hou, "On the frequency variation of radio waves reflected from the ionosphere," Acta Geophysica Sinica, Vol. 22, No. 4, 388-395, 1979 .

21. Ma, , L., Z.-F. Li, and G. Liao, "System error analysis and calibration methods for multi-channel SAR," Progress In Electromagnetics Research, Vol. 112, 309-327, 2011.

22. Davies, K., D. M. Baker, and , "On frequency variations of ionospherically propagated HF radio signals," Radio Science, Vol. 1, No. 5, 545-556, 1966.

23. Lee, , J.-H., S.-W. Cho, S.-H. Park, and K.-T. Kim, "Performance analysis of radar target recognition using natural frequency: Frequency domain approach," Progress In Electromagnetics Research, , Vol. 132, 315-345, 2012.

24. Liu, , Z.-Y., L.-X. Guo, and , "A quasi three-dimensional ray tracing method based on the virtual source tree in urban microcellular environments," Progress In Electromagnetics Research, Vol. 118, 397-414, 2011.
doi:10.2528/PIER11041602

25. Bennet, , J. A., "The calculation of Doppler shifts due to a changing ionosphere," J. Atmos. Terr. Phys., Vol. 29, No. 887--891, 1967.

26. Papoulis, , A., , Probability, Random Variables and Stochastic Processes,, 4th Ed., January 2002.

27. Ma, , X. Y., C. L. Nikias, and , "Joint estimation of time delay and frequency delay in impulsive noise using fractional lower-order statistics," IEEE Transactions on Signal Processing, Vol. 44, No. 11, 2669-2686, 1996.
doi:10.1109/78.542175

28. Davies, , K., , Ionospheric Radio Wave, , Peter Peregrinus Ltd., 1990.
doi:10.1049/PBEW031E

29. Stein, , S., , "Statistical characterization of fading multipath channels," Report No. 321, Sylvania Applied Research Lab.,, 1963.

30. CCIR, "Ionospheric propagation and noise characteristics perti nent to terrestrial radio communication systems design and serice planning (Fading)," Reports of the CCIR, Vol. VI, No. 266-7, 298-316, 1990.

31. Zhong, , X.-M, C. Liao, and W. Lin, "Time-delay-based multi-target detection and power delivering," Progress In Electromagnetics Research M, Vol. 19, 25-28, 2011.
doi:10.2528/PIERM11042502

32. Asiyo, M. O., T. J. O. Afullo, and , "Statistical estimation of fade depth and outage probability due to multipath propagation on southern Africa," Progress In Electromagnetics Research B,, Vol. 46, 251-274, 2013.

33. Daly, , R. F., K. D. Felperin, T. I. Dayharsh, et al., "Curts phase II automatic frequency selection system-signal processing," Application and Evaluation. Final Report, AD-815884/2, , 1967.

34. CCIR, "Ionospheric sounding at oblique incidence, propagation in ionized media ," Recommendations and Reports of the CCIR, Vol. VI, 1986.

35. CCIR, "Propagation predication Method for HF Broadcasting Propagation in ionized Media," Recommendations and Reports of the CCIR , Vol. VI, 1986.

36. Guier, , W. H., , "Ionospheric contributions to the Doppler shift at VHF from near-earth satellites," Proc. IRE, Vol. 49, No. 11, 1680-1681, 1961.

37. Ignatenko, , M. V. and M. V. Tinin, "Infoluence of ionospheric irregularities on the form of radio signal scattering spectrum in over-the-horizon radar sounding of the rough sea surface," Waves in Random Media, Vol. 13, No. 3, 151-164, 2003..
doi:10.1088/0959-7174/13/3/301

38. Willman, , J. F., "Frequency-dependent ionospheric refraction effects on the Doppler shift of satellite signals," IEEE Trans. Aerospace and Electronic Systems, Vol. 1, No. 3, 283-289, 1965.
doi:10.1109/TAES.1965.4501697