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ISSN 2415-3400 (Online)
ISSN 1028-821X (Print)

HOMOMORPHIC SIGNAL PROCESSING ALGORITHM OF GROUND PENETRATION RADAR

heading: 
STATISTICAL RADIOPHYSICS
Sytnik, OV, Masalov, SA, Pochanin, GP
Organization: 

O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine
12, Proskura st., Kharkov, 61085, Ukraine
E-mail: ssvp11@ire.kharkov.ua
https://doi.org/10.15407/rej2015.04.039
Language: russian
Abstract: 

The actual problem of measuring the thickness of the surface layers of the soil using GPR radar systems under stringent restrictions on the minimum length of a video pulse and under the presence of the noise caused by resonance effects in antenna and multiple reflections of the sounding signal from the boundaries between media has been studied. Traditional extreme correlation signal processing methods do not provide the resolution less than half of the total duration of the pulse. To overcome this limitation is possible by using nonlinear methods, for example the homomorphic signal processing. The possibility of high resolution of subsurface stratified media boundaries by using non-linear homomorphic digital signal processing of reflections is proved theoretically and experimentally. The proposed method has used the non-linear spectrum transformation of ultra wideband sounding signals. It allows getting resolution approximately to 5 % of pulse duration instead of limitation of the traditional correlation method of signal processing. The FFT algorithm is used to calculate the amplitude spectrum of the signal, the result is subjected to logarithms and then the inverse Fourier transform is computed, to get a signal's cepstrum containing the probe signal and digital signal delay. The analysis of cepstrum at a relatively high signal to noise ratio allows one to calculate the estimate of the thickness of the layer. The results of simulations and experimental data processing are also shown. 
Keywords: amplitude spectrum, boundary between the media, cepstrum, fast Fourier transformation, ground penetrating radar, identification, pulse, spectrum, ultra-wideband signal

Manuscript submitted  27.10.2015 г.
PACS     05.45.Tp
Radiofiz. elektron. 2015, 20(4): 39-44
Full text  (PDF)

References: 
  1. Grinev, А. Yu., ed., 2005. Problems of subsurface radiolocation. Moscow: Radiotehnika Publ. (in Russian).
  2. Finkelshtein, М. I., Mendelson, V. L. and Kutev, V. А., 1977. Layered ground surface radiolocation. Moscow: Sov. radio Publ. (in Russian).
  3. Bugaev, А. S., Ivashov, S. I. and Immoreev, I. Ya., 2010. Bioradiolocation. Moscow: Bauman MSTU Publ. (in Russian).
  4. Masalov, S. A., Sytnik, O. V. and Ruban, V. P., 2012. Wavelet UWB signal processing for underground sounding systems. In: 6th Int. Conf. Ultrawideband and Ultrashort Impulse Signals (UWBUSIS): proc. Sevastopol, Ukraine, 17–21 Sept. 2012. pp. 123–125 (in Russian).
  5. Batrakov, D. О., Batrakova, А. G., Golovin, D. V., Kravchenko, O. V. and Pochanin G. P., 2014. Determination of thicknesses of pavement layers with GPR probing. Fizicheskie osnovy priborostroeniya, 3(2), pp. 46–56 (in Russian).
  6. Pochanin, G. P., Ruban, V. P., Kholod, P. V., Shuba, A. A., Pochanin, A. G., Orlenko, A. A., Usikov, O. Ya., Batrakov, D. O., Batrakova A., G., 2013. GPR for pavement monitoring. (1). [pdf]. J. of Radio Electron. Avialable at: http://jre.cplire.ru/alt/jan13/8/text.pdf
  7. Ulaby, F. T., Moor, R. K. and Fung, A. K., 1982. Microwave Remote Sensing Active and Passive. Vol. II. Radar Remote Sensing and Surface Scattering End Emission Theory. Reading, Massachusetts: Addison-Wesley.
  8. Соок, J. C., 1960. Proposed monocycle-pulse very high frequency radar for airborne ice and snow measurement. Trans. AIEE Commun. Electron. 79, pp. 588–594.
  9. Noll, A. M., 1967. Cepstrupm Pitch Determination. J. Acoust Soc. Am., 41(2), pp. 287–293.
  10. Kemerait, R. C. and Childers, D. G., 1972. Signal detection and extraction by Cepstrum techniques. IEEE Trans. Inf. Theory, 18(1), pp. 745–759.
  11. Hassah, J. C., 1994. Time delay processing near the ocean surface. J. Sound Vib., 35(4), pp. 489–501.
  12. Sytnik, O. V., 2011. Textural Analysis of Cepstrum Images of Subsurface Structure. Telecommunications and Radio Engineering, 70(1), pp. 87–94.
  13. Levin, B. R., 1974–1976. Theoretical foundations of the statistical radio engineering. Moscow: Sov. radio Publ. (in Russian).
  14. Repin, V. G. and Tartakovsky, G. P., 1977. Statistical synthesis with a priori indeterminacy and adaptation of informational systems. Moscow: Sov. Radio Publ. (in Russian).
  15. Van Trees, H., 1972-1977. Detection estimation and modulation theory. Translated from English. Moscow: Sov. radio Publ. (in Russian).
  16. Bronshtein, I. N. and Semendyayev, К. А., 1980. Handbook of mathematics. Moscow: Nauka Publ. (in Russian).