TELECOMMUNICATIONS AND RADIO ENGINEERING - 2009 Vol. 68,
No 18 		 

 

 

 

Signal Detection in Gaussian Noise by Using Third-Order Test Statistics

A.V. Totsky
National Aerospace University (Kharkiv Aviation Institute), 17, Chkalov St., Kharkiv, 61070, Ukraine

Abstract
The problem of detecting a deterministic signal embedded in the additive Gaussian noise is considered by using statistical decision theory, the Neyman-Pearson criterion and novel third-order test statistic (TS). Performances of signal detection for traditional energy second-order TS calculated as the peak value of the matched filter (MF) output and the third-order TS computed as the peak value of third-order moment function estimated for a random process observed at the MF output are investigated and compared between each other. The performance of signal detection is evaluated and studied by using binary hypothesis test, likelihood ratio and probability of detection curves calculated for the second- and third-order TSs. Results of computer simulation demonstrating the benefits of third-order test statistics comparing with conventional second-order statistics are represented.

References

  1. Sklar, B., (2003), Digital communications. Theoretical basis and practical application, Second Edition. Publishing House “Wiliams”, Moscow (in Russian).
  2. Shirman, Ya.D., and Manzhos, V.N., (1981 ), Theory and technique of radar data processing in interference environment. Radio and Sviaz, Moscow (in Russian).
  3. Nikias, C.L., and Raghuveer, M.R., (1987), Bispectral estimation: A digital signal processing framework, Proceeding IEEE, 75(7):869-891.
  4. Totsky, A.V., Kurbatov, I.V., Lukin, V.V., Egiazarian, K.O., and Astola, J.T., (2003), Combined bispectrum-filtering techniques for radar output signal reconstruction in ATR applications, Proc. of International Conference Automatic Target Recognition XIII/ Ed. Firooz A. Sadjadi. - Orlando (USA), pp. 301-312.
  5. Astola, J.T., Egiazarian, K.O., Khlopov, G.I., Khomenko, S.I., Kurbatov, I.V., Morozov, V.Ye., and Totsky, A.V.,(2008), Application of bispectrum estimation for time-frequency analysis of ground surveillance Doppler radar echo signals, IEEE Transactions on Instrumentation and Measurement, 57(9):1949-1957.
  6. Molchanov, P.A., and Totsky, A.V., (2008), Application of triple correlation and bispectrum for interference immunity improvement in telecommunications systems, International Journal of Applied Mathematics and Computer Science, 18(3):361-367.
  7. Tikhonov, V.I., (1983), Optimal receiving of signals, Radio and Sviaz, Moscow (in Russian).
  8. Sergienko, A.B., (2002), Digital signal processing, SPb., Piter, (in Russian).


pages 1601-1612

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