杂波背景下目标回波信号积累预置MTI的递归Radon-Fourier变换方法

doi:10.12305/j.issn.1001-506X.2025.09.13

Abstract

Abstract:

The time sequence of radar systems is divided into fixed coherent processing intervals （CPIs）, only by receiving the echo data in an complete CPI can the Radon-Fourier transform （RFT） method be applied for coherent accumulation, resulting in a processing delay of at least one CPI in the system. In regard to this, a recursive RFT method is proposed for pre-moving target indication （Pre-MTI）, which breaks through the limitation that the RFT method requies the echo data in a complete CPI. Each time the echo data is received, coherent accumulation can be implemented, and theoretically the system processing delay is the same as the radar working repetition cycle. This paper provides a theoretical analysis of the coherent accumulation gain, coherent accumulation time, and improvement factor of the algorithm, and provides corresponding analytical derivations. Simulation result shows that the Pre-MTI processing can effectively suppress clutter, and the recursive RFT transformation method can effectively accumulate echoes of moving targets. The signal to noise ratio and velocity resolution increase with the increase of recursive pulses number. The system delay for coherent accumulation realized by the recursive RFT transform method is reduced, and theoretically the shortest delay can reach the repetition period of the radar.

Key words: time-range combination, coherent integration, moving target indication (MTI), Radon-Fourier transform （RFT）

CLC Number:

TN 951

Haibo WANG, Tao BA, Wenhua HUANG, Yuchuan ZHANG, Jun ZHUANG, Haichuan ZHANG. Recursive Radon-Fourier transform method with pre-MTI for target echo integration in clutter background[J]. Systems Engineering and Electronics, 2025, 47(9): 2913-2924.

Figures/Tables 14

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

References 33

1	杨宇超, 方明, 赵晨帆, 等. 高速机动目标长时间相参积累算法[J]. 系统工程与电子技术, 2023, 45 (5): 1359- 1370.
	YANG Y C, FANG M, ZHAO C F, et al. Long-time coherent integration algorithm for high-speed maneuvering targets[J]. Systems Engineering and Electronics, 2023, 45 (5): 1359- 1370.
2	战立晓, 汤子跃, 朱振波. 高机动小RCS目标长时间相参积累检测新方法[J]. 系统工程与电子技术, 2013, 35 (3): 510- 516.
	ZHAN L X, TANG Z Y, ZHU Z B. Novel method of long-term coherent integration detection for maneuvering small RCS targets[J]. Systems Engineering and Electronics, 2013, 35 (3): 510- 516.
3	MI Y P, ZHANG Y H, YANG J F. Long-time coherent integration algorithm for high speed maneuvering target detection[J]. Journal of Applied Remote Sensing, 2023, 17 (2): 026515.
4	AUGUSTO A, ANTONIO D M, VIBCENZO C, et al. Radar phase noise modeling and effects, Part I: MTI filters[J]. IEEE Trans. on Aerospace and Electronic Systems, 2016, 52 (2): 698- 711. doi: 10.1109/TAES.2015.140549
5	吴顺君, 梅晓春. 雷达信号处理与数据处理技术[M]北京: 电子工业出版社, 2008: 235−238.
	WU S J, MEI X C. Radar signal processing and data processing technology[M]. Beijing: Publishing House of Electronics Industry, 2008; 235−238.
6	王永良, 彭应宁. 空时二维自适应处理[M]. 北京: 清华大学出版社, 2000: 196−220.
	WANG Y L, PENG Y N. Space-time adaptive processing[M]. Beijing: Tsinghua University Publisher, 2000 : 196−220.
7	张亮, 杜庆磊, 周必雷, 等. 基于非标准Keystone变换的捷变频雷达相参积累算法[J]. 系统工程与电子技术, 2023, 45 (12): 3836- 3844.
	ZHANG L, DU Q L, ZHOU B L, et al. A coherent integration algorithm of frequency-agile radar based on non-standard Keystone transform[J]. Systems Engineering and Electronics, 2023, 45 (12): 3836- 3844.
8	高一丁, 吴敏, 郝程鹏, 等. 基于FrFT-Keystone运动补偿的OFDM声纳高速微弱目标相参积累检测算法[J]. 系统工程与电子技术, 2024, 46 (4): 1157- 1166.
	GAO Y D, WU M, HAO C P, et al. Coherent integration and detection algorithm for high-speed weak targets in OFDM sonar based on FrFT-Keystone motion compensation[J]. Systems Engineering and Electronics, 2024, 46 (4): 1157- 1166.
9	WANG C L, JIU B, LIU H W. Maneuvering target detection in random pulse repetition interval radar via resampling-keystone transform[J]. Signal Processing, 2021, 181, 107899. doi: 10.1016/j.sigpro.2020.107899
10	WAN J, TAN X H, CHEN Z Y, et al. Refocusing of ground moving target with Doppler ambiguity using keystone transform and modified second-order keystone transform for synthetic aperture radar[J]. Remote Sensing, 2021, 13 (2): 177. doi: 10.3390/rs13020177
11	CARLSON B D, EVANS E D. Search radar detection and track with the Hough transform. I. system concept[J]. IEEE Trans. on Aerospace and Electronic Systems, 1994, 30 (1): 102- 108. doi: 10.1109/7.250410
12	CARLSON B D, EVANS E D, WILSON S L. Search radar detection and track with the Hough transform II: detection statistics[J]. IEEE Trans. on Aerospace and Electronic Systems, 1994, 30 (1): 109- 115. doi: 10.1109/7.250411
13	XU J, YU J, PENG Y N, et al. Radon-Fourier transform for radar target detection I: generalized Doppler filter bank[J]. IEEE Trans. on Aerospace and Electronic Systems, 2011, 47 (2): 1186- 1202. doi: 10.1109/TAES.2011.5751251
14	XU J, YU J, PENG Y N, et al. Radon-Fourier transform for radar target detection II: Blind Speed Sidelobe Suppression[J]. IEEE Trans. on Aerospace and Electronic Systems., 2011, 47 (4): 2473- 2489. doi: 10.1109/TAES.2011.6034645
15	YU J, XU J, PENG Y N, et al. Radon-Fourier transform for radar target detection III: optimality and fast implementations[J]. IEEE Trans. on Aerospace and Electronic Systems, 2012, 48 (2): 991- 1004. doi: 10.1109/TAES.2012.6178044
16	CARRETERO M J, GISMERO M J, ASENSIO L A, et al. Application of the Radon transform to detect small-targets in sea clutter[J]. IET Radar, Sonar & Navigation, 2009, 3 (2): 155−166.
17	WEI W, WANG G H, SUN J P, et al. Polynomial Radon polynomial Fourier trans form for near space hypersonic maneuvering target detection[J]. IEEE Trans. on Aerospace and Electronic Systems, 2017, 45 (3): 1306- 1322.
18	林春风, 黄春琳, 粟毅. 双基地雷达Radon-Fourier变换弱目标积累检测[J]. 雷达学报, 2016, 5 (5): 526- 530. doi: 10.12000/JR16049
	LIN C F, HUANG C L, L Y. Target integration and detection with the Radon-Fourier transform for bistatic radar[J]. Journal of Radars, 2016, 5 (5): 526- 530. doi: 10.12000/JR16049
19	段毅, 商哲然, 谭贤四, 等. 面向雷达高速目标检测的RFT快速实现方法[J]. 系统工程与电子技术, 2018, 40 (6): 1233- 1240. doi: 10.3969/j.issn.1001-506X.2018.06.07
	DUAN Y, SANG Z R, TAN X S, et al. Fast implementation of RFT for radar hypersonic targets detection[J]. Systems Engineering and Electronics, 2018, 40 (6): 1233- 1240. doi: 10.3969/j.issn.1001-506X.2018.06.07
20	LIU Q H, GUO J P, LIANG Z N, et al. Motion parameter estimation and HRRP construction for high-speed weak targets based on modified GRFT for synthetic-wideband radar with PRF jittering[J]. IEEE Sensors Journal, 2021, 21 (20): 23234- 23244. doi: 10.1109/JSEN.2021.3108053
21	YANG A D, TAO H H , WANG L, et al. Long-time coherent integration for high-speed target detection based on RKT-FRFT[C]//Proc. of the International Conference on Information Communication and Signal Processing, 2023: 69−73.
22	WANG L H, WANG J. Radon-Fourier transform in FMCW radar[C]//Proc. of the IEEE Radar Conference, 2020.
23	OREN L, IGAL B. Spectral Radon-Fourier transform for automotive radar applications[J]. IEEE Trans. on Aerospace and Electronic Systems, 2021, 57(2): 1046−1056.
24	WANG L H, WANG J, ZHANG X D. Discrete Radon-Fourier transform and its approximation algorithm in short range ubiquitous radar[J]. IEEE Sensors Journal, 2021, 21 (21): 24409- 24421. doi: 10.1109/JSEN.2021.3113091
25	MUSADIQ H, REHAN A, HAMMAD M. C. Segmented Radon Fourier transform for long-time coherent radars[J]. IEEE Sensors Journal, 2023, 23 (9): 9582- 9594. doi: 10.1109/JSEN.2023.3260024
26	LANG P, FU X J, DONG J, et al. An efficient Radon Fourier transform-based coherent integration method for target detection[J]. IEEE Geoscience and Remote Sensing Letters, 2023, 20, 3501905.
27	WANG J C, WU Y F, DENG X B, et al. Highly maneuvering target detection based on neural network and generalized Radon-Fourier transform[J]. IEEE Geoscience and Remote Sensing Letters, 2023, 20, 3507805.
28	裴家正, 黄勇, 陈宝欣, 等. 联合脉压与Radon傅里叶变换的长时间相参积累方法[J]. 雷达学报, 2021, 10 (6): 956- 969. doi: 10.12000/JR21068
	PEI J Z, HUANG Y, CHEN B X, et al. Long time coherent integration method based on combining pulse compression and Radon-Fourier transform[J]. Journal of Radars, 2021, 10 (6): 956- 969. doi: 10.12000/JR21068
29	许稼, 彭应宁, 夏香根, 等. 空时频检测前聚焦雷达信号处理方法[J]. 雷达学报, 2014, 3 (2): 129- 141. doi: 10.3724/SP.J.1300.2014.14023
	XU J, PENG Y N, XIA X G, et al. Radar signal processing method of space-time-frequency focus-before-detects[J]. Journal of Radars, 2014, 3 (2): 129- 141. doi: 10.3724/SP.J.1300.2014.14023
30	LIN L J, SUN G H, CHENG Z Y, et al. Long-time coherent integration for maneuvering target detection based on ITRT-MRFT[J]. IEEE Sensors Journal, 2020, 20 (7): 3718- 3731. doi: 10.1109/JSEN.2019.2960323
31	关键, 裴家正, 黄勇, 等. 杂波背景下的时距联合检测前聚焦方法研究[J]. 雷达学报, 2022, 11 (5): 753- 764.
	GUAN J, PEI J Z, HUANG Y, et al. Time range focus before detect method in clutter background[J]. Journal of Radars, 2022, 11 (5): 753- 764.
32	XU J, YAN L, ZHOU X, et al. Adaptive Radon-Fourier transform for weak radar target detection[J]. IEEE Trans. on Aerospace and Electronic Systems, 2018, 54 (4): 1641- 1663. doi: 10.1109/TAES.2018.2798358
33	李清亮, 尹志盈, 朱秀芹, 等. 雷达地杂波测量与建模[M] 北京: 国防工业出版社, 2017: 75−96.
	LI Q L, YI Z Y, ZHU X Q, et al. Radar ground clutter measurement and modeling[M] Beijing: National Defence Industry Press, 2017: 75−96.

[1]	Yiding GAO, Min WU, Chengpeng HAO, Zhigang SHANG. Coherent integration and detection algorithm for high-speed weak targets in OFDM sonar based on FrFT-Keystone motion compensation [J]. Systems Engineering and Electronics, 2024, 46(4): 1157-1166.
[2]	Yuanrong TIAN, Jundi WANG, Xiaotian WU. LFM radar detection probability estimation under repeater jamming [J]. Systems Engineering and Electronics, 2024, 46(2): 497-504.
[3]	Yuchao YANG, Ming FANG, Chenfan ZHAO, Gang FANG. Long-time coherent integration algorithm for high-speed maneuvering targets [J]. Systems Engineering and Electronics, 2023, 45(5): 1359-1370.
[4]	Liang ZHANG, Qinglei DU, Bilei ZHOU, Qizhe QU, Yongliang WANG. A coherent integration algorithm of frequency-agile radar based on non-standard Keystone transform [J]. Systems Engineering and Electronics, 2023, 45(12): 3836-3844.
[5]	Liang ZHANG, Hui CHEN, Zhaojian ZHANG, Xiaoge WANG, Yongliang WANG. A coherent integration algorithm of waveform-agile radar based on non-standard Keystone transform [J]. Systems Engineering and Electronics, 2023, 45(11): 3481-3490.
[6]	Yuchao YANG, Ming FANG, Chenfan ZHAO, Yueqi WANG, Gang FANG. Research on long-time coherent integration and parameter estimation algorithm of high-speed maneuvering targets [J]. Systems Engineering and Electronics, 2022, 44(12): 3811-3820.
[7]	Xinxin OUYANG, Shanfeng YAO, Yuxiang YANG, Qing HE, Qun WAN. Coherent and non-coherent integration TDOA/FDOA estimation method of frequency-hopping signals [J]. Systems Engineering and Electronics, 2021, 43(5): 1184-1190.
[8]	Ning WANG, Ming ZHOU, Guoqing LIU, Yuhao YANG, Jun SUN. Interframe noncoherent integration technology based on Chirp Z transform for sea surface target [J]. Systems Engineering and Electronics, 2021, 43(2): 383-389.
[9]	OUYANG Xinxin, YANG Yuxiang, YAO Shanfeng, HE Qing. TDOA/FDOA estimation algorithm of multi-carrier signals based on CAF coherent integration [J]. Systems Engineering and Electronics, 2019, 41(8): 1881-1886.
[10]	GU Wen-kun, WANG Dang-wei, MA Xiao-yan. #br# Distributed OFDM-MIMO radar MTI process [J]. Systems Engineering and Electronics, 2016, 38(8): 1794-1799.
[11]	LI Hai, ZHOU Meng, WU Ren-biao. Detection and parameter estimation of air highly maneuvering targets via CPT and RPF [J]. Systems Engineering and Electronics, 2016, 38(6): 1235-1242.
[12]	TIAN Chao, WEN Shu-liang, DU Zhi-yuan. Long time coherent integration algorithm for moving#br# targets with high order motion [J]. Systems Engineering and Electronics, 2015, 37(6): 1229-1236.
[13]	GU Wenkun, WANG Dangwei, MA Xiaoyan, ZHENG Daikun. Incoherent integration detection using distributed OFDMMIMO radar [J]. Systems Engineering and Electronics, 2015, 37(10): 2266-2271.
[14]	ZHAN Li-xiao， TANG Zi-yue， ZHU Zhen-bo. Novel method of long term coherent integration detection for maneuvering small RCS targets [J]. Journal of Systems Engineering and Electronics, 2013, 35(3): 510-516.
[15]	GE Xian-jun, ZHANG Cai-sheng, SONG Jie, DING Hao, HE You. Phase compensation and error analysis for non-cooperative bistatic radar [J]. Journal of Systems Engineering and Electronics, 2012, 34(10): 2023-2027.

Recursive Radon-Fourier transform method with pre-MTI for target echo integration in clutter background

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 14

References 33

Related Articles 15

Recommended Articles

Metrics

Comments