TELECOMMUNICATIONS AND RADIO ENGINEERING - 2012 Vol. 71,
No 7
 

 

 

 

OPTIMUM RECEPTION OF THE STOCHASTIC PROBING SIGNALS UNDER CONDITIONS OF FULL A PRIORI INFORMATION


À.À. Ìîgyla
A. Usikov Institute of Radio Physics and Electronics,
National Academy of Sciences of Ukraine
12, Academician Proskura St., Kharkiv 61085, Ukraine
E-mail: E-mail: moganat10@gmail.com

Abstract
The stochastic models of interference, sounding and reflected signals are considered, their probability densities are estimated, likelihood function and ratio are deduced. Analog and digital algorithms of detection of signals in the conditions of a priori complete information at the use as soundings stochastic signals are built, basic properties of these algorithms are examined.
KEY WORDS: stochastic sounding signal with finite energy, optimum receiver, radar system, the Hilbert space, scalar product, the Gaussian interference, likelihood function and ratio, scalar receiver, signal-to-interference ratio, detection performance

References

  1. Peterson, W.W., Birdsall, T.G., and Fox, W.C., (1954), The Theory of Signal Detectability, IRE Trans. on Information Theory. PGIT-4(4):171–212.
  2. Helstrom, C.W., (1960), Statistical Theory of Signal Detection, Pergamon Press, N. Y. – 364 p.
  3. Middleton, D., (1960), An Introduction to Statistical Communication Theory, N.Y.: McGraw-Hill.
    – 1184 p.
  4. Shirman, Ya.D., (2007), Radio electronic systems: Basics of development and theory: Reference book, Radiotekhnika, Moscow: 512 p. (in Russian).
  5. Bakut, P.À., Bolshakov, I.À., Gerasimov, B.Ì. et al., (1963), Aspects of Statistical Theory of Signal Detection, Sov. Radio, Moscow: 424 p. (in Russian).
  6. Kulemin, G.P. and Razskazovsky, V.B., (1987), The scattering of millimeter radiowaves by Earth’s surface for small grazing angles, Naukova dumka, Kyiv: 232 p. (in Russian).
  7. Khlopov, G.I., (1996), Reflection of mm-band waves from high-voltage power line wires, Radio Physics and Electronics, (1):125–128 (in Russian).
  8. Razskazovsky, V.B. and Logvinov, yu.F., (2007), Microwave propagation factor at small grazing angles over sea: transient domain, Telecommunications and Radio Engineering. 66(18):1635-1651.
  9. Lutsenko, V.I., (2007), Detection against the background of non-Gaussian clutter from underlying surface, Electromagnetic waves and electronic systems. Mathematical modelling of physical processes. 12:41–57 (in Russian).
  10. Mogyla, A.A., Lukin, K.A., and Shyian, Yu.A., (2002), Relay-Type Noise Correlation Radar for the Measurement of Range and Vector Range Rate, Telecommunications and Radio Engineering.
    57(2-3):175–183.
  11. Mogyla, A.A., Lukin, K.A., and Kulyk, V.V., (2001), Statistical Errors of Ranging in the Spectral Interferometry Technique, Telecommunications and Radio Engineering. 55(1):10–11.
  12. Garmatyuk, D.S. and Narayanan, R.M., (2002), Ultra-Wideband Continuous Random Noise Arc-SAR, IEEE Trans. on Geosciences & Remote Sensing. 40(12):745–752.
  13. Lukin, Ê.À., (2001), Noise radar technology, Telecommunications and Radio Engineering. 55(12):8-16.
  14. Êalinin, V.I., (2005), Ultra-wideband data transmission with double spectral processing of noise waveforms, Radiotekhnika. 3:25–35 (in Russian).
  15. Lukin, K.A., Mogyla, A.A., Palamarchuk, V.P. et al., (2008), Ka-band bistatic ground-based noise waveform SAR for short-range applications, IET Radar, Sonar and Navigation. 2(4):233–243.
  16. Lukin, Ê.À., Ìîgyla, À.À., and Suprun, D.Yu., (2008), Modeling of a pulse noise SAR, Radiotekhnika. 152:184–192 (in Russian).
  17. Lukin, K.A., Mogila, A.A., Vyplavin, L, Galati, G., and Pavan, G., (2009), Novel concepts for surface movement radar design, International Journal of Microwave and Wireless Technologies, Cambridge University Press. 1:163–169.
  18. Kulpa, K., Lukin, K., Misiurewicz, J., Gajo, Z., Mogila, A., and Vyplavin, P., (2008), Quality Enhancement of Image Generated with Bistatic Ground Based Noise Waveform SAR, IET Radar, Sonar & Navigation. 2(4):263–273.
  19. Lukin, K.A., Mogyla, A.A., Palamarchuk, V.P., Kravchuk, À.V., and Cherniy, B.S., (2011), Noise radar with synthesizing a spectrum of sounding signal, Telecommunications and Radio Engineering. 70(10):883-898.
  20. Îmelchenko, V.À., (1991), Probabilistic and deterministic models of signals in communication, UMK VO Publishers, Êyiv: 184 p. (in Russian).
  21. Dragan, Ya.P., (1980), Structure and representation of stochastic signal models, Nauk. dumka,
    Êyiv: 381 p. (in Russian).
  22. Mogila, A.A. and Lukin, K.A., (1997), Two-Parametric Representation of Non-stationary Random Signals with Finite Weighted-Mean Energy, Telecommunications and Radio Engineering, 51(8):27–31.
  23. Mogyla, À.À., (2002), Interrelation between two-parametric modes of random signals with limited energy in different orthonormal bases, Telecommunications and Radio Engineering. 57(2-3):52-63.
  24. Ìogyla, À.À. and Lukin, Ê.À., (2002), Interrelation between one- and two-parametric representations of random signals of finite energy, Telecommunications and Radio Engineering. 58(7-8):1-11.
  25. Levin, B.R., (1989), Theoretical backgrounds of statistical radio equipment. Sov. Radio,
    Moscow: 656 p. (in Russian).
  26. Cramer, H., (1945), Mathematical methods of statistics, Uppsala: Almquist & Wiksells. – 575 p.


pages 637-652

Back