Abstract
Long-time coherent integration can remarkably improve the detection and motion parameter estimation ability of radar for maneuvering targets. Unfortunately, the linear range migration, quadratic range migration (QRM), and Doppler frequency migration (DFM) within the coherent processing interval seriously degrade the target detection and parameter estimation performance. In this regard, a novel coherent integration approach based on frequency autocorrelation function (FAF) and Lv’s distribution (LVD), i.e., FAF–LVD, is proposed in this paper. The QRM is firstly removed by the second-order keystone transform. Then, the FAF with a variable delay is introduced to remove the DFM, followed by the scaled Fourier transform to achieve coherent integration. Finally, the acceleration and velocity are estimated simultaneously by LVD. Analysis demonstrates that FAF–LVD could be efficiently implemented via complex multiplications, the fast Fourier transform (FFT) and inverse FFT. Detailed comparisons with several representative methods indicate that FAF–LVD achieves a better balance among computational complexity, detection ability, and parameter estimation performance. Extensive simulations are presented to validate the effectiveness of FAF–LVD method.
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References
X.L. Chen, J. Guan, N.B. Liu, Y. He, Maneuvering target detection via radon-fractional Fourier transform-based long-time coherent integration. IEEE Trans. Signal Process. 62(4), 939–953 (2014)
M. Guida, M. Longo, M. Lops, Biparametric CFAR procedures for lognormal clutter. IEEE Trans. Aerosp. Electron. Syst. 29(3), 798–809 (1993)
X.P. He, G.S. Liao, S.Q. Zhu, J.W. Xu, Y.F. Guo, J.Q. Wei, Fast non-searching method for ground moving target refocusing and motion parameters estimation. Digit. Signal Proc. 79, 152–163 (2018)
P.H. Huang, G.S. Liao, Z.W. Yang, X.G. Xia, J.T. Ma, J.T. Ma, Long-time coherent integration for weak maneuvering target detection and high-order motion parameter estimation based on keystone transform. IEEE Trans. Signal Process. 64(15), 4013–4026 (2016)
X. Huang, S.Y. Tang, L.R. Zhang, S.Y. Li, Ground-based radar detection for high-speed maneuvering target via fast discrete Chirp-Fourier transform. IEEE Access 7, 12097–12113 (2019)
X. Huang, L.R. Zhang, S.Y. Li, Y.H. Zhao, Radar high speed small target detection based on keystone transform and linear canonical transform. Digit. Signal Proc. 82, 203–215 (2018)
K. Jin, T. Lai, Y.B. Wang, G.Q. Li, Y.J. Zhao, Coherent integration for radar high-speed maneuvering target based on frequency-domain second-order phase difference. Electronics 8, 287 (2019)
D. Kirkland, Imaging moving targets using the second-order keystone transform. IET Radar Sonar Navig. 5(8), 902–910 (2011)
G. Li, X.G. Xia, Y.N. Peng, Doppler keystone transform: an approach suitable for parallel implementation of SAR moving target imaging. IEEE Geosci. Remote Sens. Lett. 5(4), 573–577 (2008)
X.L. Li, G.L. Cui, L.J. Kong, W. Yi, Fast non-searching method for maneuvering target detection and motion parameters estimation. IEEE Trans. Signal Process. 64(9), 2232–2244 (2016)
X.L. Li, G.L. Cui, W. Yi, L.J. Kong, A fast maneuvering target motion parameters estimation algorithm based on ACCF. IEEE Signal Process. Lett. 22(3), 270–274 (2015)
X.L. Li, G.L. Cui, W. Yi, L.J. Kong, Coherent Integration for maneuvering target detection based on radon-Lv’s distribution. IEEE Signal Process. Lett. 22(9), 1467–1471 (2015)
X.L. Li, G.L. Cui, W. Yi, L.J. Kong, Fast coherent integration for maneuvering target with high-order range migration via TRT-SKT-LVD. IEEE Trans. Aerosp. Electron. Syst. 52(6), 2803–2814 (2016)
X.L. Li, G.L. Cui, W. Yi, L.J. Kong, Manoeuvring target detection based on keystone transform and Lv’s distribution. IET Radar Sonar Navig. 10(7), 1234–1242 (2016)
X.L. Li, G.L. Cui, W. Yi, L.J. Kong, Radar maneuvering target detection and motion parameter estimation based on TRT-SGRFT. Signal Process. 133, 107–116 (2017)
X.L. Li, L.J. Kong, G.L. Cui, W. Yi, A low complexity coherent integration method for maneuvering target detection. Digit. Signal Proc. 49, 137–147 (2016)
X.L. Li, Z. Sun, W. Yi, G.L. Cui, L.J. Kong, Radar detection and parameter estimation of high-speed target based on MART-LVT. IEEE Sens. J. 19(4), 1478–1486 (2019)
X.L. Li, Z. Sun, T.S. Yeo, T.X. Zhang, W. Yi et al., STGRFT for detection of maneuvering weak target with multiple motion models. IEEE Trans. Signal Process. 67(7), 1902–1917 (2019)
A. Ludloff, M. Minker, Reliability of velocity measurement by MTD radar. IEEE Trans. Aerosp. Electron. Syst. AES 21(4), 522–528 (1985)
S. Luo, G.A. Bi, X.L. Lv, F.Y. Hu, Performance analysis on Lv distribution and its applications. Digit. Signal Proc. 23, 797–807 (2013)
X.L. Lv, G.A. Bi, C.R. Wan, M.D. Xing, Lv’s distribution: principle, implementation, properties, and performance. IEEE Trans. Signal Process. 59(8), 3576–3591 (2011)
X.L. Lv, M.D. Xing, S.H. Zhang, Z. Bao, Keystone transformation of the Wigner-Ville distribution for analysis of multicomponent LFM signals. Signal Process. 89, 791–806 (2009)
Z.Y. Niu, J.B. Zheng, T. Su, J.C. Zhang, Fast implementation of scaled inverse Fourier transform for high-speed radar target detection. Electron. Lett. 53(16), 1142–1144 (2017)
R.P. Perry, F. Dipietro, R.L. Fante, Coherent integration with range migration using keystone formatting. IEEE Radar Conf. (2007). https://doi.org/10.1109/RADAR.2007.374333
R.P. Perry, R.C. Dipietro, R.L. Fante, SAR imaging of moving targets. IEEE Trans. Aerosp. Electron. Syst. 35(1), 188–200 (1999)
F. Pignol, F. Colone, T. Martelli, Lagrange polynomial interpolation based keystone transform for a passive radar. IEEE Trans. Aerosp. Electron. Syst. 54(3), 1151–1167 (2018)
X. Rao, H.H. Tao, J. Su, X.L. Guo, J.Z. Zhang, Axis rotation MTD algorithm for weak target detection. Digit. Signal Proc. 26, 81–86 (2014)
X. Rao, H.H. Tao, J. Su, J. Xie, X.Y. Zhang, Detection of constant radial acceleration weak target via IAR-FRFT. IEEE Trans. Aerosp. Electron. Syst. 51(4), 3242–3253 (2015)
S. Scherr, S. Ayhan, B. Fischbach, A. Bhutani, M. Pauli, T. Zwick, An efficient frequency and phase estimation algorithm with CRB performance for FMCW radar applications. IEEE Trans. Instrum. Meas. 64(7), 1868–1875 (2015)
J. Su, M. Xing, G. Wang, Z. Bao, High-speed multi-target detection with narrowband radar. IET Radar Sonar Navig. 4(4), 595–603 (2010)
Z. Sun, X.L. Li, W. Yi, G.L. Cui, L.J. Kong, A coherent detection and velocity estimation algorithm for the high-speed target based on the modified location rotation transform. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(7), 2346–2361 (2018)
P.C. Suo, S. Tao, R. Tao, Z. Nan, Detection of high-speed and accelerated target based on the linear frequency modulation radar. IET Radar Sonar Navig. 8(1), 37–47 (2014)
R. Tao, N. Zhang, Y. Wang, Analysing and compensating the effects of range and Doppler frequency migrations in linear frequency modulation pulse compression radar. IET Radar Sonar Navig. 5(1), 12–22 (2011)
J. Tian, W. Cui, Q. Shen, Z.X. Wei, S.L. Wu, High-speed maneuvering target detection approach based on joint RFT and keystone transform. Sci. China Inf. Sci. 56(6), 1–13 (2013)
J. Tian, W. Cui, S. Wu, A novel method for parameter estimation of space moving targets. IEEE Geosci. Remote Sens. Lett. 11(2), 389–393 (2014)
W. Wu, G.H. Wang, J.P. Sun, Polynomial radon-polynomial Fourier transform for near space hypersonic maneuvering target detection. IEEE Trans. Aerosp. Electron. Syst. 54(3), 1306–1322 (2018)
X.B. Xiao, F.C. Guo, Joint estimation of time delay, Doppler velocity and Doppler rate of unknown wideband signals. Circuits Syst. Signal Proc. 38(1), 85–104 (2019)
M.D. Xing, J.H. Su, G.Y. Wang, Z. Bao, New parameter estimation and detection algorithm for high speed small target. IEEE Trans. Aerosp. Electron. Syst. 47(1), 214–224 (2011)
J. Xu, X.G. Xia, S.B. Peng, J. Yu, Y.N. Peng, L.C. Qian, Radar maneuvering target motion estimation based on generalized radon-Fourier transform. IEEE Trans. Signal Process. 60(12), 6190–6201 (2012)
J. Xu, J. Yu, Y.N. Peng, X.G. Xia, Radon-Fourier transform for radar target detection (II): blind speed sidelobe suppression. IEEE Trans. Aerosp. Electron. Syst. 47(4), 2473–2489 (2011)
J. Xu, J. Yu, Y.N. Peng, X.G. Xia, Radon-Fourier transform for radar target detection, I: generalized Doppler filter bank. IEEE Trans. Aerosp. Electron. Syst. 47(2), 1186–1202 (2011)
J. Yu, J. Xu, Y.N. Peng, X.G. Xia, Radon-Fourier transform for radar target detection (III): optimality and fast implementations. IEEE Trans. Aerosp. Electron. Syst. 48(2), 991–1004 (2012)
J.C. Zhang, T. Su, J.B. Zheng, X.H. He, Novel fast coherent detection algorithm for radar maneuvering target with jerk motion. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 10(5), 1792–1803 (2017)
J.B. Zheng, H.W. Liu, J. Liu, X.L. Du, Q.H. Liu, Radar high-speed maneuvering target detection based on three-dimensional scaled transform. IEEE J. Sel. Topics Appl. Earth Obs. Remote Sens. 11(8), 2821–2833 (2018)
J.B. Zheng, T. Su, H.W. Liu, G.S. Liao, Z. Liu, Q.H. Liu, Radar high-speed target detection based on the frequency-domain deramp-keystone transform. IEEE J. Sel. Topics Appl. Earth Obs. Remote Sens. 9(1), 285–294 (2016)
J.B. Zheng, T. Su, W.T. Zhu, X.H. He, Q.H. Liu, Radar high-speed target detection based on the scaled inverse Fourier transform. IEEE J. Sel. Topics Appl. Earth Obs. Remote Sens. 8(3), 1108–1119 (2015)
D.Y. Zhu, Y. Li, Z.D. Zhu, A keystone transform without interpolation for SAR ground moving-target imaging. IEEE Geosci. Remote Sens. Lett. 4(1), 18–22 (2007)
S.Q. Zhu, G.S. Liao, D. Yang, H.H. Tao, A new method for radar high-speed maneuvering weak target detection and imaging. IEEE Geosci. Remote Sens. Lett. 11(7), 1175–1179 (2014)
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Jin, K., Lai, T., Zhu, S. et al. Coherent Detection and Parameter Estimation for Radar High-Speed Maneuvering Target Based on FAF–LVD. Circuits Syst Signal Process 39, 2600–2622 (2020). https://doi.org/10.1007/s00034-019-01280-1
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DOI: https://doi.org/10.1007/s00034-019-01280-1