Tracking a Low-Angle Isolated Target via an Elevation-Angle Estimation Algorithm Based on Extended Kalman Filter with an Array Antenna

In a low-angle tracking situation, estimating the elevation angle is challenging due to the entrance of the multipath signals in the antenna’s main lobe. In this article, we propose two methods based on the extended Kalman filter (EKF) and frequency diversity (FD) process to estimate the elevation angle of a low-angle isolated target. In the first case, a simple weighting of the per-frequency estimates is obtained (termed WFD). Differently, in the second case, a matrix-based elaboration of the per-frequency estimates is proposed (termed MFD). The proposed methods are completely independent of prior knowledge of geometrical information and the physical parameters. The simulation results show that both methods have excellent performance and guarantee accurate elevation angle estimation in different multipath environments and even in very-low SNR conditions. Hence, they are both suitable for low-peak-power radars.

[1]  Peter Willett,et al.  Tracking the Tracker from its Passive Sonar ML-PDA Estimates , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[2]  S. Koteswara Rao,et al.  Modified Polar Extended Kalman Filter (MP-EKF) for Bearings - Only Target Tracking , 2016 .

[3]  Mohammad Mahdi Nayebi,et al.  Robust low-angle estimation by an array radar , 2010 .

[4]  Hongtao Su,et al.  Target and reflecting surface height joint estimation in low-angle radar , 2016 .

[5]  Zhaocheng Wang,et al.  EKF-Based Beam Tracking for mmWave MIMO Systems , 2019, IEEE Communications Letters.

[6]  Chongying Qi,et al.  DOA Estimation for Coherent Sources in Unknown Nonuniform Noise Fields , 2007, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Mohammad Ali Sebt,et al.  Low Elevation Angle Estimation Using an Iterative Array Processing Method , 2019 .

[8]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[9]  Mohammad Ali Sebt,et al.  Target and Image Elevation Angles Separation Algorithm for Low-Angle Tracking with Monopulse Antenna , 2020, 2020 28th Iranian Conference on Electrical Engineering (ICEE).

[10]  Michael D. Zoltowski,et al.  Maximum likelihood based sensor array signal processing in the beamspace domain for low angle radar tracking , 1991, IEEE Trans. Signal Process..

[11]  C. Beard,et al.  Coherent and incoherent scattering of microwaves from the ocean , 1961 .

[12]  Eloi Bosse,et al.  Model-based multifrequency array signal processing for low-angle tracking , 1995 .

[13]  Ilan Ziskind,et al.  Maximum likelihood localization of multiple sources by alternating projection , 1988, IEEE Trans. Acoust. Speech Signal Process..

[14]  Eloi Bosse,et al.  Tracking Swerling fluctuating targets at low altitude over the sea , 1991 .

[15]  Joohwan Chun,et al.  Adaptive beamforming for low-angle target tracking under multipath interference , 2014, IEEE Transactions on Aerospace and Electronic Systems.

[16]  S. M. Sherman,et al.  Complex Indicated Angles Applied to Unresolved Radar Targets and Multipath , 1971, IEEE Transactions on Aerospace and Electronic Systems.

[17]  M. Brandt-Pearce,et al.  Statistics of monopulse measurements of Rayleigh targets in the presence of specular and diffuse multipath , 2001, Proceedings of the 2001 IEEE Radar Conference (Cat. No.01CH37200).

[18]  D. Y. Northam A Stochastic Simulation of Low Grazing Angle, Forward Scatter, Over-Water Multipath Effects , 1983 .

[19]  R. Kumaresan,et al.  Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood , 1982, Proceedings of the IEEE.

[20]  Peng-Lang Shui,et al.  Low-angle target tracking using frequency-agile refined maximum likelihood algorithm , 2017 .

[21]  V. Mangulis Frequency Diversity in Low-Angle Radar Tracking , 1981, IEEE Transactions on Aerospace and Electronic Systems.

[22]  Shunping Xiao,et al.  Symmetrical difference pattern monopulse for low-angle tracking with array radar , 2016, IEEE Transactions on Aerospace and Electronic Systems.

[23]  Shunping Xiao,et al.  Low-angle tracking algorithm using polarisation sensitive array for very-high frequency radar , 2014 .

[24]  Paul Zarchan,et al.  Fundamentals of Kalman Filtering: A Practical Approach , 2001 .

[25]  W.D. White,et al.  Low-Angle Radar Tracking in the Presence of Multipath , 1974, IEEE Transactions on Aerospace and Electronic Systems.

[26]  Zheng Liu,et al.  Real-domain GMUSIC algorithm based on unitary-transform for low-angle estimation , 2014 .

[27]  Yaser Norouzi,et al.  Direction of arrival estimation using array of antennas for low-altitude targets in multi-path environment , 2016 .

[28]  Martin Vossiek,et al.  An Iterative Extended Kalman Filter for Coherent Measurements of Incoherent Network Nodes in Positioning Systems , 2020, IEEE Access.

[29]  R. Kumaresan,et al.  Estimating the Angles of Arrival of Multiple Plane Waves , 1983, IEEE Transactions on Aerospace and Electronic Systems.

[30]  H. Nagaoka Propagation of Short Radio Waves , 1926 .

[31]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[32]  Jun Tan,et al.  Polarization Smoothing Generalized MUSIC Algorithm with Polarization Sensitive Array for Low Angle Estimation , 2018, Sensors.

[33]  Mohammad Ali Sebt,et al.  Adaptive hybrid method for low‐angle target tracking in multipath , 2018, IET Radar, Sonar & Navigation.

[34]  Kazufumi Hirata,et al.  Altitude estimation of low elevation target over the sea for surface based phased array radar , 2010, 2010 IEEE Radar Conference.