SYNTHESIS AND EFFECTIVITY ANALYSIS OF ROBUST ALGORITHMS FOR RANDOM SIGNAL DETECTION IN NON-GAUSSIAN INTERFERENCES

Authors

  • I. G. Prokopenko National Aviation University, Kyiv
  • I. P. Omelchuk National Aviation University, Kyiv
  • K. I. Prokopenko National Aviation University, Kyiv
  • A. A. Osipchuk National Aviation University, Kyiv

DOI:

https://doi.org/10.18372/1990-5548.61.14206

Keywords:

Signal processing, robust algorithms, radar signal detection, haotick puls interference, aproristick uncertainity

Abstract

The article deals with the problem of synthesis of robust post-detection algorithms of random radar signal on the background of uncorrelated noise and сhaotic pulse interference. Two cases of aprioristic uncertainty are considered: 1) random modulated harmonic radar signal with random amplitude, distributed by Gaussian law with known parameters; 2) random modulated harmonic radar signal with unknown law of amplitude distribution. The problem is solved with the use of Wald’s reduction approach. Synthesis of the robust signal detection algorithm on background of chaotic pulse interference was don using Tukey model of "pollution". The effectiveness and robustness of the several synthesized robust detection algorithms is investigated by Monte–Carlo method.

Author Biographies

I. G. Prokopenko, National Aviation University, Kyiv

Aviation Radioelectronic Complexes Department

Doctor of Engineering Science. Professor

orcid.org/0000-0003-4169-3774

 

I. P. Omelchuk, National Aviation University, Kyiv

Aviation Radioelectronic Complexes Department

Candidate of Science (Engineering). Associate Professor

K. I. Prokopenko, National Aviation University, Kyiv

Air Navigation Systems Department

Candidate of Science (Engineering). Postdoctoral student

A. A. Osipchuk, National Aviation University, Kyiv

Aviation Radioelectronic Complexes Department

Assistant Professor

References

K. Lukin, “Contributions to Electromagnetic Theory, Radar and Communication Technologies,” (by Dr. Henning F. Harmuth). 9-th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS 2018), Proceedings.

N. Bhatta and M. Priya, “RADAR and its Applications,” International Conference on Novel Issues and Challenges in Science & Engineering, (NICSE-16), at: Noorul Islam University, Kumaracoil, Thuckalay, Tamilnadu, India, vol. IJCTA, 9(28), 2016, pp. 1–9, © International Science Press.

T. Thayaparan and C. Wernik, Noise Radar Technology Basics Defence, R&D Canada–Ottawa, Technical Memorandum DRDC Ottawa TM, December 2006, 266 p.

A. Ershov, “Stable methods for estimating parameters. Overview,” Automation and Telemechanics, no. 8, pp. 66–100, 1978.

I. Omelchuk and Iu. Chyrka, “A Closed-Form ARMA-Based ML-Estimator of a Single-Tone Frequency,” Circuits, Systems, and Signal Processing, 2018, vol. 37, no. 8, pp. 3441–3456.

S. Sinharay, G. Puhan, and S. Haberman, Reporting Diagnostic Scores: Temptations, Pitfalls, and Some Solutions. ETS Princeton, New Jersey, 2009, 41 p.

P. Huber and E. Ronchetti, Robust Statistics. 2nd Edition, A John Wiley and Sons, Inc., Publication, 2009, 380 p.

F. Hampel, “A general qualitative definition of robustness,” Ann. Math. Stat., vol. 42, pp. 1887–1896, 1971.

R. Hogg, Introduction to noise-immune estimation, in: Stable statistical methods of data evaluation. Moscow, Mechanical Engineering, 1984.

E. Korniliev, “Nonparametric methods for detecting radar signals against a background of Gaussian noise with unknown dispersion,” Questions of aviation radio engineering, no. 6, pp. 28–30, 1971. [In Russian].

E. Korniliev, I. Prokopenko, and V. Chuprin, Stable algorithms in automated information processing systems. Kyiv, Technika, 1989, 223 p. [In Russian] .

H. Rohling, “Radar CFAR Thresholding in Clutter and Multiple Target Situations,”. IEEE Transactions on Aerospace and Electronic Systems, vol. Aes-19, no. 4, July 1983, pp. 608–621.

I Omelchuk, I Prokopenko, and I Chyrka, “Multichannel target speed estimation by a colocated Doppler-pulse MIMO radar,” International Conference Radio Electronics & Info Communications (UkrMiCo), 11-16 Sept., 2016.

I. Prokopenko and A. Osipchuk, “Robust algorithm for estimation the phase of a harmonic signal on the background of Gaussian noise and impulse noise,” Problems of development of the global system of communication, navigation, surveillance and air traffic management, CNS/ATM, November 21-23, 2016, 68 p. [in Ukrainian].

I. Prokopenko, I. Omelchuk, J. Chirka, and F. Yanovsky, “Detection of Markovian signals on the background of Markovian interferences. Prior uncertainty case,” The International Society for Optical Engineering (SPIE), 2009, Proceedings, pp. 1–4.

I. Prokopenko, “Detection of a harmonic signal in a mixture with narrowband interference,” 22nd International Microwave and Radar Conference (MIKON-2018), May 15-17, 2018, Poznań, Poland, Proceedings, pp. 614–617.

I. Prokopenko, “Robust methods and algorithms of signal processing,” IEEE Microwaves, Radar and Remote Sensing Symposium (MRRS-2017), 29-31 Aug. 2017, Kyiv, Ukraine, Proceedings, pp. 71–74.

I. Prokopenko, “Statistical Synthesis of Robust Signal Detection Algorithms under Conditions of Aprioristic Uncertainty,” Cybernetics And Information Technologies, vol. 15, no. 7, 2015, Special Issue on Information Fusion, Sofia.

V. Lukin, V. Melnik, A. Pogrebniak, A. Zelensky, K. Saarinen, and J. Astola, “Digital adaptive robust algorithms for radar image filtering,” Journal of Electronic Imaging, 5(3), pp. 410–421, 1996.

O. Solomentsev, M. Zaliskyi, O. Kozhokhina, and T. Herasymenko, “Efficiency of Data Processing for UAV Operation System,” IEEE 4th International Conference on Actual Problems of UAV Developments (APUAVD), October 17-19, 2017, (Kyiv, Ukraine), Proceedings, 2017, pp. 27 31.

O. Solomentsev, M. Zaliskyi, O. Kozhokhina, and T. Herasymenko, “Reliability Parameters Estimation for Radioelectronic Equipment in Case of Change-point,” Signal Processing Symposium (SPS-2017), Sept. 12-14, 2017, (Jachranka Village, Poland), Proceedings, pp. 1–4.

A. Wald, “Contributions to the theory of statistical estimation and testing hypotheses”. The Annals of Mathematical Statistics, no.10(4), pp. 299–326, 1939.

A. Wald and J. Wolfowitz, “Two methods of randomization in statistics and the theory of games,” Ann.Math., vol. 53, pp. 581–586. 1951,

J. Marcum, A Statistical Theory of Target Detection by Pulsed Radar: Mathematical Appendix. The RAND Corporation, Research Memorandumm-753, July 1, 1948.

P. Swerling, “Probability of Detection for Fluctuating Targets”. RM-1217, March, 1954.

F. Hampel, “Robust Estimation: A Condensed Partial Survey,” Z. Wahr. Verw. Geb., vol. 27, pp. 87–104, 1973.

S. Kassam, H. Poor, “Robust Signal Processing for Communication Systems,” IEEE Commun. Mag., Jan. 1983, vol. 21, pp. 20–28.

I. Gradshteyn, Ryzhik. Table of Integrals, Series, and Products. Academic Press, Elsevir, 2007, 1171 p.

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Issue

Vol. 3 No. 61 (2019)

Section

THEORY AND METHODS OF SIGNAL PROCESSING

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