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Altitude Measurement Based on Terrain Matching in VHF Array Radar

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Abstract

The multipath signal and direct signal lying within a beamwidth of a receiving antenna are highly correlated, which degrades the performance of DOA in a VHF array radar. Especially on rough terrain, the reflection centers of elements are not at the same horizontal plane; thus the variation of indirect wave path difference from each element with respect to the target’s depression angle is not linear. In this paper, we assume the two-path-component data model, with one direct component and one indirect component related to the ground reflection. This paper builds a highly deterministic multipath signal model which takes the curvature of the signal path and the terrain parameters of the reflection region into account based on the sphere model, gives calculation methods of the reflection coefficient and lengths of the direct path and indirect path, and proposes a synthetic steering vector super-resolution algorithm. The results for both simulated and measured data show that this method provides excellent performance in resolving the DOA problem in a multipath environment compared to the data model that only considers the flat-earth model.

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References

  1. L.V. Blake, Radar Range-Performance Analysis (Artech House, New York, 1986)

    Google Scholar 

  2. F. Gao, A.B. Gershman, A generalized ESPRIT approach to direction of arrival estimation. IEEE Signal Process. Lett. 12(3), 254–257 (2005)

    Article  Google Scholar 

  3. M. Haardt, J.A. Nossek, Unitary ESPRIT: how to obtain increased estimation accuracy with a reduced computational burden. IEEE Trans. Signal Process. 43(5), 1232–1242 (1995)

    Article  Google Scholar 

  4. X.Q. Hu, J.W. Chen, Y.L. Wang, Research on meter-wave radar height-finding multipath model. Chin. J. Radio Sci. 23(4), 651–657 (2008) (in Chinese)

    Google Scholar 

  5. J. Li, Improved angular resolution for spatial smoothing techniques. IEEE Trans. Signal Process. 40(12), 3078–3081 (1992)

    Article  Google Scholar 

  6. T. Lo, J. Litva, Use of a highly deterministic multipath signal model in low-angle tracking. IEE Proc. F 138(2), 163–171 (1991)

    Google Scholar 

  7. T. Lo, J. Litva, Low-angle tracking using a multifrequency sampled aperture radar. IEEE Trans. Aerosp. Electron. Syst. 27(5), 797–805 (1991)

    Article  Google Scholar 

  8. S.U. Pillai, B.H. Kwon, Forward/backward spatial smoothing techniques for coherent signal identification. IEEE Trans. Acoust. Speech Signal Process. 37(1), 8–15 (1989)

    Article  MATH  Google Scholar 

  9. S.M.I. Radar, Handbook, 2nd edn. (Publish House of Electronics Industry, Beijing, 2003)

    Google Scholar 

  10. R.O. Schmidt, Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 24(3), 276–280 (1986)

    Article  Google Scholar 

  11. J. Selva, Computation of spectral and root MUSIC through real polynomial rooting. IEEE Trans. Signal Process. 53(5), 1923–1927 (2005)

    Article  MathSciNet  Google Scholar 

  12. P. Stoica, B. Ottersten, M. Viberg et al., Maximum likelihood array processing for stochastic coherent sources. IEEE Trans. Signal Process. 44(1), 96–105 (1996)

    Article  Google Scholar 

  13. P. Surendra, C. Bindu, Direction-of-arrival estimation using rank revealing QR factorization. IEEE Trans. Signal Process. 39(5), 1224–1229 (1991)

    Article  Google Scholar 

  14. X.Y. Yang, Study on Array Super-resolution and Altitude Measurement in VHF Radar (Xidian University, Xi’an, 2011) (in Chinese)

    Google Scholar 

  15. G.H. Zhao, B.X. Chen, M. Dong, A new DOA estimator based on alternating projection and its application in VHF radar. J. Electron. Inf. Technol. 30(1), 224–227 (2008) (in Chinese)

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by the National Natural Science Foundation of China (61001209, 61101244), the Fundamental Research Funds for the Central Universities (JY10000902010), and the Aeronautical Science Fund (20100181010).

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Correspondence to Wei Zhu.

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Zhu, W., Chen, BX. Altitude Measurement Based on Terrain Matching in VHF Array Radar. Circuits Syst Signal Process 32, 647–662 (2013). https://doi.org/10.1007/s00034-012-9472-4

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