ON THE ACHIEVABLE UPPER LIMIT OF THE ELEVATION ANGLES OF EFFECTIVE DIRECTION FINDING OF TARGETS OVER THE SEA BY THE ROOT-MUSIC METHOD PROVIDED WITH ADEQUATE A PRIORI PARAMETERS
Abstract
Subject and Purpose. The paper investigates the accuracy of measurements of the elevation angles of targets located near the surface of a disturbed sea in the area from the upper limit of their extremely small values to the free space zone. The main part of the study concerns measurements using the root-MUSIC method based on the analysis of the eigenvalues of the autocorrelation matrix of signals received from the target. Under the same conditions, the accuracy of measurements using the amplitude sum-difference (monopulse) method was obtained. The purpose of the work was to determine the upper limit of the location angles up to which the accuracy of the root-MUSIC method exceeds the accuracy of the monopulse method measurements, and thereby determine the area of its eff ective use.
Methods and Methodology. The study was conducted using computer modeling of the measurement of elevation angles by two types of radio direction finders. The first one used the root-MUSIC measurement method, and the second one used the monopulse method. Both operated at a wave of 3.2 cm and had the same receiving antenna aperture of 2.5 m. The modeling was performed for sea waves from calm to heavy. In addition to interference from the sea, interference caused by internal noise of the direction finders’ receiving channels was taken into account. The modeling calculated the distance dependencies of the measurement errors of the target’s position angles moving at a constant height of 20 m at a distance from 2 to 0.5 km. This ensured the overlap of the position angles in the range of 0.57...2.28 of the width of the sum directional pattern of the monopulse direction finder.
Results. Under the same sea waves and using equal apertures of the receiving antennas, the values of the errors in measuring the target elevation angles by both methods were obtained. Recommendations for choice the a priori parameters of the root-MUSIC method have been developed, which ensure high measurement accuracy in diff erent interference conditions.
Conclusions. It was found that the root-MUSIC method has a higher accuracy of measuring the elevation angles of low-altitude targets over the sea compared to the widely used monopulse method up to position angles equal to twice the width of the sum directional pattern of the monopulse direction finder antenna.
Key words: root-MUSIC, monopulse method, a priori parameters, elevation angle, low-altitude target, measurement errors, sea waves, multipath propagation, thermal noise, computer modeling
Manuscript submitted 07.05.2024
Radio phys. radio astron. 2024, 29(4): 281-292
REFERENCES
1. Barton, D.K., 1974. Low-Angle Tracking. Proc. IEEE, 62(1), pp. 687—704. DOI: https://doi.org/10.1109/PROC.1974.9509
2. White, W.D., 1974. Low-Angle Radar Tracking in the Presence of Multipath. IEEE Trans. Aerosp. Electron. Syst., 10(6), pp. 835—852. DOI: https://doi.org/10.1109/TAES.1974.307892
3. Dax, P.R., 1976. Keep Track of that Low-Flying Attack. Microwaves, 15(4), pp. 36—53.
4. Mrstik, A.V., and Smith, P.G., 1978. Multipath Limitations on Low-Angle Radar Tracking. IEEE Trans. Aerosp. Electron. Syst., 14(1), pp. 85—102. DOI: https://doi.org/10.1109/TAES.1978.308582
5. Sherman, S.M., Barton, D.K., 2011. Monopulse Principles and Techniques. 2nd edition. Artech House, Incorporated.
6. Johnson, D.H., 1982. Th e Application of Spectral Estimation Methods in Bearing Estimation Problems. Proc. IEEE, 70, pp. 1018—1028. DOI: https://doi.org/10.1109/PROC.1982.12430
7. Marple, S.L., 1987. Digital spectral analysis: with applications. Prentice-Hall, Englewood Cliffs, NJ.
8. Van Trees, H.L., 2002. Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory. John Wiley & Sons, Inc. DOI: https://doi.org/10.1002/0471221104
9. Shakhtarin, B.I., and Kovrigin, V.A., 2005. Methods of spectral estimation of random processes: a training manual. Moscow: Gelios Publ. (in Russian).
10. Howell, R.K., 1999. d-MUSIC, a real time algorithm for estimating the DOA of coherent sources using a single array snapshot. In: 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP99): Proc. Phoenix, AZ, USA, 15—19 March 1999. IEEE, 1999, pp. 2881—2884. DOI: https://doi.org/10.1109/ICASSP.1999.761364
11. Hwang H.K., Zekeriya A., Marshall G., Yakovlev A., 2008. Direction of Arrival Estimation Using a Root-MUSIC Algorithm. In: Proc. of the International MultiConference of Engineers and Computer Scientists 2008. Hong Kong, 19—21 March 2008, 2, pp. 1507—1510. URL: https://www.iaeng.org/publication/IMECS2008/IMECS2008_pp15071510.pdf
12. Xuebing Han, Hao Zhang, Huadong Meng, and Xiqin Wang, 2010. Hybrid Method of DOA Estimation for Low-angle Target Tracking. In: 2010 International Conference on Electrical and Control Engineering. Wuhan, China, 25—27 June 2010. IEEE, 2010, pp. 4688—4690. DOI: https://doi.org/10.1109/iCECE.2010.1135
13. Pedenko, Yu.A., 2016. Radar elevation angle measurements of low-altitude targets over the sea by root-MUSIC method under interference from multipath and thermal noise оf direction finder. Telecommunications and Radio Engineering, 75(10), pp. 895—907. DOI: https://doi.org/10.1615/TelecomRadEng.v75.i10.40
14. Pedenko, Y., Reznichenko, N., Zuykov, V., and Labazov, S., 2020. The root-MUSIC method versus the amplitude sum-difference monopulse method in radar tracking of low-elevation targets over rough sea. In: 2020 IEEE Ukrainian Microwave Week. Kharkiv, Ukraine, 21—25 Sept. 2020. IEEE, 2020. DOI: https://doi.org/10.1109/UkrMW49653.2020.9252582
15. Pedenko, Y.O., 2022. Root-MUSIC measurements of target elevation angles with account of radio wave’s phase front sphericity. Radio Phys. Radio Astron., 27(2), pp. 110—122 (in Ukrainian). DOI: https://doi.org/10.15407/rpra27.02.110
16. Barton, D.K., and Ward, H.R., 1969. Handbook of Radar Measurement. Prentice-Hall.
17. Razskazovskiy, V.B., Pedenko, Yu.A., 2003. A model for millimeter- and centimeter-waves field over a sea surface designs for investigation the methods for low-flying targets elevation angle measurement. In: V.M. Yakovenko, ed. 2003. Radiofizika i elektronika. Kharkov: IRE NAS of Ukraine Publ. 8(1), pp. 22—33 (in Russian).
18. Becкman, P., and Spizzichino, A., 1963. The scattering of electromagnetic wavefrom rough surface. London: Pergamon Press.
19. Pedenko, Yu.A., 2013. The choice of root-MUSIC parameters for radar measurements of target elevation near sea surface. Telecommunications and Radio Engineering, 72(14), pp. 1279—1287. DOI: https://doi.org/10.1615/TelecomRadEng.v72.i14.20
Keywords
Full Text:
PDFCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)