为了获取无源雷达中微弱目标回波的角度信息, 现有研究主要采用基于时延-Doppler域二维相关处理的估计算法, 其基本思想是通过参考信号和监视信号的互模糊函数来获得积累增益, 提升回波信号信噪比, 而后进行角度估计。该文针对高速多目标场景, 提出了一种更加高效稳健的时延-Doppler域角度估计算法。根据目标运动和外辐射源信号参数, 对参考信号和监视信号进行分段处理, 段内为快时间, 段间为慢时间; 考虑到目标高速运动可能引发距离徙动问题, 利用Keystone变换对各频率的时间轴进行尺度变换, 校正高速目标的距离徙动, 继而将目标回波信号能量积累至同一时延-Doppler域; 检测并提取目标回波所在时延单元的阵元慢时间采样信号, 并转化为慢时间维度的多快拍信号测角问题; 针对多目标场景下可能存在的相干信号, 利用均匀圆阵轴向虚拟平移解相干和多信号分类(MUSIC)算法对信号处理得到目标方位角和俯仰角估计。仿真实验结果表明: 所提出的算法可以以较低的计算复杂度实现无源雷达微弱目标回波信号的角度估计, 特别是在高速多目标场景下, 具有明显的性能优势。
Abstract
[Objective] The passive radar systems for urban aerial target surveillance highlight the importance of accurately determining the angle of arrival (AOA) of weak target echoes. The AOA information is crucial for locating targets using passive radars, considerably impacting the detection capabilities of the system. Traditionally, research on AOA estimation has focused on algorithms utilizing two-dimensional correlation processing in the delay-Doppler domain. These methods enhance the signal-to-noise ratio of the echo signal, leveraging the accumulated gain from the mutual ambiguity function between the reference signal and monitoring signals and subsequently facilitating angle estimation. However, existing algorithms face notable challenges. For instance, they are particularly prone to the distance migration effect when tracking weak targets moving at high speeds, adversely affecting the accumulation gain and the accuracy of parameter estimations. In addition, the computational requiremens of the mutual ambiguity function are high, complicating real-time implementation. Although certain rapid implementation methods for the mutual ambiguity function can reduce the computational requiremens, they are unsuitable for platforms with limited processing power. Additionally, current algorithms struggle to differentiate between multiple targets within the same range-Doppler unit owing to their inability to refine target distinction along the angle dimension. Considerably, this paper proposes a more efficient algorithm for delay-Doppler angle estimation tailored to high-speed, multitarget scenarios. [Methods] The proposed algorithm is divided into three steps. (1) The reference and monitoring signals undergo segmented processing; this division is based on the target movement and the signal parameters of the external radiation source, distinguishing between the fast time within each segment and the slow time across segments. (2) The second step addresses distance migration, which can occur owing to the high-speed movement of the target. Thus, the Keystone transform is used to adjust the time axis of each frequency, effectively correcting the distance migration for high-speed targets. Next, the energy of the target echo signal is aggregated into a singular delay-Doppler unit. The process continues with the detection and extraction of the slow time-sampling signal from the delay unit containing the target echo. This extracted signal forms the basis for converting the problem into one of the angle measurements, focusing on the multifast beat signal within the slow time dimension. (3) The target azimuth and pitch angles are estimated by employing axial virtual shift coherence within a uniform circular array. The multiple signal classification (MUSIC) algorithm is applied to these coherent signals for efficient processing in scenarios involving multiple targets. [Results] The algorithm can distinguish multiple targets in the same delay-Doppler cell. This differentiation is facilitated by the array axial virtual translation method, which improves the capability of the algorithm to process multiple-target signals. [Conclusions] Simulation results have demonstrated the effectiveness of the proposed method for the delay-Doppler processing, particularly its segmented processing combined with the Keystone transform, which corrects the distance migration of the target and greatly reduces the computational complexity. Consequently, the stability and the real-time performance of the algorithm are markedly improved. The algorithm exhibits obvious performance advantages, especially in scenarios characterized by high-speed movements and the presence of multiple targets.
关键词
无源雷达 /
均匀圆阵 /
高速目标 /
相干信号 /
角度估计 /
Keystone变换
Key words
passive radar /
uniform circular array /
high-speed target /
coherent signals /
angle estimation /
Keystone transform
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参考文献
[1] COLONE F, FILIPPINI F, PASTINA D. Passive radar: Past, present, and future challenges [J]. IEEE Aerospace and Electronic Systems Magazine, 2023, 38(1): 54-69.
[2] LI Y, HE Q, BLUM R S. Illuminator of opportunity selection for passive radar [C]//Proceedings of 2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP). Curaçao: IEEE, 2017: 1-5.
[3] NOROOZI A, SEBT M A. Weighted least squares target location estimation in multi-transmitter multi-receiver passive radar using bistatic range measurements [J]. IET Radar, Sonar & Navigation, 2016, 10(6): 1088-1097.
[4] KRIM H, VIBERG M. Two decades of array signal processing research: The parametric approach [J]. IEEE Signal Processing Magazine, 1996, 13(4): 67-94.
[5] CAPON J. High-resolution frequency-wavenumber spectrum analysis [J]. Proceedings of the IEEE, 1969, 57(8): 1408-1418.
[6] SCHMIDT R. Multiple emitter location and signal parameter estimation [J]. IEEE Transactions on Antennas and Propagation, 1986, 34(3): 276-280.
[7] BARABELL A. Improving the resolution performance of eigenstructure-based direction-finding algorithms [C]//Proceedings of ICASSP. IEEE International Conference on Acoustics, Speech, and Signal Processing. Boston, USA: IEEE, 1983: 336-339.
[8] ROY R, KAILATH T. ESPRIT-estimation of signal parameters via rotational invariance techniques [J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989, 37(7): 984-995.
[9] KUMARESAN R, TUFTS D W. Estimating the angles of arrival of multiple plane waves [J]. IEEE Transactions on Aerospace and Electronic Systems, 1983, AES-19(1): 134-139.
[10] WANG Z S, XIE W, ZOU Y B, et al. DOA estimation using single or dual reception channels based on cyclostationarity [J]. IEEE Access, 2019, 7: 54787-54795.
[11] LI J F, LI D, JIANG D F, et al. Extended-aperture unitary root MUSIC-based DOA estimation for coprime array [J]. IEEE Communications Letters, 2018, 22(4): 752-755.
[12] LIU A H, ZHANG X, YANG Q, et al. Fast DOA estimation algorithms for sparse uniform linear array with multiple integer frequencies [J]. IEEE Access, 2018, 6: 29952-29965.
[13] SHI J P, HU G P, ZHANG X F, et al. Sparsity-based two-dimensional DOA estimation for coprime array: From sum-difference coarray viewpoint [J]. IEEE Transactions on Signal Processing, 2017, 65(21): 5591-5604.
[14] WEN F Q, SHI J P, ZHANG Z J. Joint 2D-DOD, 2D-DOA, and polarization angles estimation for bistatic EMVS-MIMO radar via PARAFAC analysis [J]. IEEE Transactions on Vehicular Technology, 2020, 69(2): 1626-1638.
[15] WANG X P, WAN L T, HUANG M X, et al. Low-complexity channel estimation for circular and noncircular signals in virtual MIMO vehicle communication systems [J]. IEEE Transactions on Vehicular Technology, 2020, 69(4): 3916-3928.
[16] HOWLAND P E, MAKSIMIUK D, REITSMA G. FM radio based bistatic radar [J]. IEE Proceedings: Radar, Sonar and Navigation, 2005, 152(3): 107-115.
[17] COLONE F, BONGIOANNI C, LOMBARDO P. Multifrequency integration in FM radio-based passive bistatic radar. Part II: Direction of arrival estimation [J]. IEEE Aerospace and Electronic Systems Magazine, 2013, 28(4): 40-47.
[18] WANG J, WANG H T, ZHAO Y. Direction finding in frequency-modulated-based passive bistatic radar with a four-element Adcock antenna array [J]. IET Radar, Sonar & Navigation, 2011, 5(8): 807-813.
[19] LI Y, MA H, WU Y T, et al. DOA estimation for echo signals and experimental results in the AM radio-based passive radar [J]. IEEE Access, 2018, 6: 73316-73327.
[20] PARK G H, SEO Y K, KIM H N. Range-Doppler domain-based DOA estimation method for FM-band passive bistatic radar [J]. IEEE Access, 2020, 8: 56880-56891.
[21] 高志文, 陶然, 单涛. 外辐射源雷达互模糊函数的两种快速算法[J]. 电子学报, 2009, 37(3): 669-672. GAO Z W, TAO R, SHAN T. Two fast algorithms of cross-ambiguity function for passive radar [J]. Acta Electronica Sinica, 2009, 37(3): 669-672. (in Chinese)
[22] ZHUO Z H, SHAN T, TAO R. Fast computation of cross-ambiguity function [J]. Journal of Beijing Institute of Technology, 2008, 17(4): 466-471.
[23] PIDANIC J, NEMEC Z. Speed-up the computing of bistatic cross-ambiguity function [C]//Proceedings of 201213th International Radar Symposium. Warsaw, Poland: IEEE, 2012: 310-313.
[24] HOWLAND P E, GRIFFITHS H D, BAKER C J. Passive bistatic radar systems [M]//CHERNIAKOV M. Bistatic radar: Emerging technology. Hoboken, USA: John Wiley and Sons, 2008.
[25] ZHU D Y, LI Y, ZHU Z D. A keystone transform without interpolation for SAR ground moving-target imaging [J]. IEEE Geoscience and Remote Sensing Letters, 2007, 4(1): 18-22.
[26] PIGNOL F, COLONE F, MARTELLI T. Lagrange-polynomial-interpolation-based keystone transform for a passive radar [J]. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(3): 1151-1167.