A coherent signal integration method for high-speed maneuvering targets based on K-adjacent pulse time-frequency double inversion transform

doi:10.7523/j.ucas.2024.028

Abstract

Abstract:

To address the problem of echo gain loss caused by range migration and Doppler frequency migration during long-time coherent accumulation of detection of high-speed maneuvering targets， a fast coherent integration algorithm based on K-adjacent pulse time-frequency double inversion transformation is proposed. By multiplying the distance-frequency and slow-time double-reversed conjugate signal of the Kth adjacent pulse signal with the target signal in the distance-frequency and slow-time domain， the across range unit and Doppler frequency migration in the signal can be simultaneously eliminated. At the same time， the time-frequency inversion cross-correlation algorithm is introduced as a supplement to estimate the target’s distance， velocity， and acceleration information through joint calculation. Finally， the compensation function is constructed to complete the focusing of echo energy on the distance-Doppler plane. Simulation results show that the proposed method can effectively estimate the second-order high-speed target motion parameters without any parameter search， with low computational complexity. Moreover， the K-adjacent pulse time-frequency dual inversion transformation and time-frequency inversion cross-correlation can be implemented in parallel to further improve the computational speed.

Key words: high-speed maneuvering target detection, motion parameter estimation, long-time coherent integration, across range unit migration, Doppler frequency migration, time-frequency double inversion transform

CLC Number:

TN957

Ruizheng WANG, Shiqiang LI. A coherent signal integration method for high-speed maneuvering targets based on K-adjacent pulse time-frequency double inversion transform[J]. Journal of University of Chinese Academy of Sciences, 2026, 43(2): 265-276.

Figures/Tables 11

References 25

[1]	Tian J， Cui W， Wu S. A novel method for parameter estimation of space moving targets［J］. IEEE Geoscience and Remote Sensing Letters， 2014， 11（2）： 389-393. DOI： 10.1109/LGRS.2013.2263332 .
[2]	Zhu S Q， Liao G S， Yang D， et al. A new method for radar high-speed maneuvering weak target detection and imaging［J］. IEEE Geoscience and Remote Sensing Letters， 2014， 11（7）： 1175-1179. DOI： 10.1109/LGRS.2013.2283887 .
[3]	Li X L， Cui G L， Yi W， et al. Sequence-reversing transform-based coherent integration for high-speed target detection［J］. IEEE Transactions on Aerospace and Electronic Systems， 2017， 53（3）： 1573-1580. DOI： 10.1109/TAES.2017.2668018 ..
[4]	Wan J， He Z Y， Tan X H， et al. Coherent integration for maneuvering target detection via fast nonparametric estimation method［J］. Signal Processing， 2023， 203： 108820. DOI： 10.1016/j.sigpro.2022.108820 .
[5]	Frolushkin V M， Novoseltsev L I. Moving-target detection［J］. Radioehlektronika， 1984， 27： 11-15.
[6]	Dai F Z， Liu H W， Shui P L， et al. Adaptive detection of wideband radar range spread targets with range walking in clutter［J］. IEEE Transactions on Aerospace and Electronic Systems， 2012， 48（3）： 2052-2064. DOI： 10.1109/TAES.2012.6237578 .
[7]	Tao R， Zhang N， Wang Y. Analysing and compensating the effects of range and Doppler frequency migrations in linear frequency modulation pulse compression radar［J］. IET Radar， Sonar & Navigation， 2011， 5（1）： 12. DOI： 10.1049/iet-rsn.2009.0265 .
[8]	关键，陈小龙，于晓涵.雷达高速高机动目标长时间相参积累检测方法［J］.信号处理，2017，33（S1）：1-8.DOI：10.16798/j.issn.1003-0530.2017.3A.001 .
[9]	张丹，吕晓德，李道京，等. 基于双频共轭的外辐射源雷达多普勒徙动的解决方法［J］. 中国科学院大学学报，2018，35（1）：96-101. DOI： 10.7523/j.issn.2095-6134.2018.01.013 .
[10]	Li Y， Zeng T， Long T， et al. Range migration compensation and Doppler ambiguity resolution by keystone transform［C］//2006 CIE International Conference on Radar. Shanghai， China. IEEE， 2006： 1-4. DOI： 10.1109/ICR.2006.343404 .
[11]	Xu J， Yu J， Peng Y N， et al. Radon-Fourier transform for radar target detection （Ⅰ）： generalized Doppler filter bank［J］. IEEE Transactions on Aerospace and Electronic Systems， 2011， 47（2）： 1186-1202. DOI： 10.1109/TAES.2011.5751251 .
[12]	Xu J， Yu J， Peng Y N， et al. Radon-Fourier transform for radar target detection （Ⅱ）： blind speed sidelobe suppression［J］. IEEE Transactions on Aerospace and Electronic Systems， 2011， 47（4）： 2473-2489. DOI： 10.1109/TAES.2011.6034645 .
[13]	Yu J， Xu J， Peng Y N， et al. Radon-Fourier transform for radar target detection （Ⅲ）： optimality and fast implementations［J］. IEEE Transactions on Aerospace and Electronic Systems， 2012， 48（2）： 991-1004. DOI： 10.1109/TAES.2012.6178044 .
[14]	Xu J， Xia X G， Peng S B， et al. Radar maneuvering target motion estimation based on generalized Radon-Fourier transform［J］. IEEE Transactions on Signal Processing， 2012， 60（12）： 6190-6201. DOI： 10.1109/TSP.2012.2217137 .
[15]	Xia W J， Zhou Y， Jin X， et al. A fast algorithm of generalized Radon-Fourier transform for weak maneuvering target detection［J］. International Journal of Antennas and Propagation， 2016， 2016（1）： 4315616. DOI： 10.1155/2016/4315616 .
[16]	Chen X L， Guan J， Liu N B， et al. Maneuvering target detection via Radon-fractional Fourier transform-based long-time coherent integration［J］. IEEE Transactions on Signal Processing， 2014， 62（4）： 939-953. DOI： 10.1109/TSP.2013.2297682 .
[17]	Li X L， Cui G L， Yi W， et al. Manoeuvring target detection based on keystone transform and Lv’s distribution［J］. IET Radar， Sonar & Navigation， 2016， 10（7）： 1234-1242. DOI： 10.1049/iet-rsn.2015.0488 .
[18]	Kirkland D. Imaging moving targets using the second-order keystone transform［J］. IET Radar， Sonar & Navigation， 2011， 5（8）： 902. DOI： 10.1049/iet-rsn.2010.0304 .
[19]	Li X L， Cui G L， Yi W， et al. Fast coherent integration for maneuvering target with high-order range migration via TRT-SKT-LVD［J］. IEEE Transactions on Aerospace and Electronic Systems， 2016， 52（6）： 2803-2814. DOI： 10.1109/TAES.2016.150573 .
[20]	刘添豪，尧泽昆，陈曦，等. 一种空基雷达高速微弱机动目标信号相参积累方法［J］. 电讯技术， 2023， 63（9）： 1361-1367. DOI： 10.20079/j.issn.1001-893x.220504002 .
[21]	Rao X， Tao H H， Su J， et al. Detection of constant radial acceleration weak target via IAR-FRFT［J］. IEEE Transactions on Aerospace and Electronic Systems， 2015， 51（4）： 3242-3253. DOI： 10.1109/TAES.2015.140739 .
[22]	Fu M Z， Zhang Y X， Wu R S， et al. Fast range and motion parameters estimation for maneuvering targets using time-reversal process［J］. IEEE Transactions on Aerospace and Electronic Systems， 2019， 55（6）： 3190-3206. DOI： 10.1109/TAES.2019.2901586 .
[23]	Zhan M Y， Huang P H， Liu X Z， et al. Space maneuvering target integration detection and parameter estimation for a spaceborne radar system with target Doppler aliasing［J］. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing， 2020， 13： 3579-3594. DOI： 10.1109/JSTARS.2020.3003809 .
[24]	Wan J， Kang X H， Tan X H， et al. An efficient approach for coherent integration detection of high-speed maneuvering targets with arbitrary-order Doppler frequency migrations［J］. IEEE Transactions on Aerospace and Electronic Systems， 2023， 59（5）： 6729-6748. DOI： 10.1109/TAES.2023.3276852 .
[25]	Song Z Y， Hui B W， Fan H Q， et al. A dataset for dim target detection and tracking of aircraft in radar echo sequences［DS/OL］. V1. Science Data Bank， 2019.（2019-10-29）［2024-04-01］. . DOI：10.11922/sciencedb.908 .

算法名称	运行时间/s
GRFT	34 935.43
RFT	852.74
TRT-SKT-LVD	6.57
MTD	0.17
本文算法	0.97

算法名称	运行时间/s
GRFT	34 935.43
RFT	852.74
TRT-SKT-LVD	6.57
MTD	0.17
本文算法	0.97

参数名称	参数值
载波频率/GHz	1
带宽/MHz	3
采样频率/MHz	6
脉冲重复频率/Hz	1 000
积累脉冲数	513

参数名称	参数值
载波频率/GHz	1
带宽/MHz	3
采样频率/MHz	6
脉冲重复频率/Hz	1 000
积累脉冲数	513

目标参数名称	初始径向距离/m	径向速度/（m/s）	加速度/（m/s²）
目标1	14 000	6 000	10
目标2	17 000	1 200	10
目标3	13 000	1 200	50
目标4	17 000	1 200	30
目标5	17 000	1 200	50