Radar pulse waveform design method based on complementary amplitude coding

doi:10.23919/JSEE.2024.000107

Journal of Systems Engineering and Electronics ›› 2025, Vol. 36 ›› Issue (3): 671-680.doi: 10.23919/JSEE.2024.000107

• DEFENCE ELECTRONICS TECHNOLOGY • Previous Articles

Radar pulse waveform design method based on complementary amplitude coding

Ailun XIE(), Xiaobin LIU(), Qihua WU(), Feng ZHAO(), Zhenyu QIAO(), Shunping XIAO()

State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System, National University of Defense Technology, Changsha 410073, China

Received:2024-02-02 Accepted:2024-08-17 Online:2025-06-18 Published:2025-07-10
Contact: Xiaobin LIU E-mail:xieailunwy@163.com;xiaobinat08@yeah.net;stevewoo1990@outlook.com;zhfbee@tom.com;qiaozhenyu21@126.com;xiaoshunping_nudt@163.com
About author:
XIE Ailun was born in 1997. He received his B.S. degree in electronic engineering and his M.S. degree in information and communication engineering from the National University of Defense Technology, Changsha, China, in 2020 and 2022, respectively, where he is currently pursuing his Ph.D. degree with the State Key Laboratory of Complex Electromagnetic Environmental Effects on Electronics and Information System. His research interests include radar system simulation and radar signal processing. E-mail: xieailunwy@163.com

LIU Xiaobin was born in 1990. He received his B.S. degree in communication engineering from Hunan University, Changsha, China, in 2012, M.S. and Ph.D. degrees in information and communication engineering from the National University of Defense Technology, Changsha, China, in 2014 and 2018, respectively. He is currently an associate professor with the State Key Laboratory of Complex Electromagnetic Environmental Effects on Electronics and Information System. His research interests include radar system simulation and radar signal processing. E-mail: xiaobinat08@yeah.net

WU Qihua was born in 1990. He received his B.S. degree in communication engineering from Nanjing University, Nanjing, China, in 2013, M.S. and Ph.D. degrees in information and communication engineering from the National University of Defense Technology, Changsha, China, in 2015 and 2019, respectively. He is currently a lecturer with the State Key Laboratory of Complex Electromagnetic Environmental Effects on Electronics and Information System. His research interests include radar imaging techniques and radar signal processing. E-mail: stevewoo1990@outlook.com

ZHAO Feng was born in 1978. He received his B.S. degree in electronic engineering and Ph.D. degree in information and communication engineering from the National University of Defense Technology (NUDT), Changsha, China, in 2001 and 2007, respectively. He is currently a professor with NUDT. His research interests include radar system design and detection techniques of tracking and guiding radar. E-mail: zhfbee@tom.com

QIAO Zhenyu was born in 1993. He received his B.S. degree in radar engineering from Army Engineering University, Nanjing, China, in 2019. He is currently pursuing his M.S. degree with the State Key Laboratory of Complex Electromagnetic Environmental Effects on Electronics and Information System. His research interests include radar system simulation and radar signal processing. E-mail: qiaozhenyu21@126.com

XIAO Shunping was born in 1964. He received his B.S. and Ph.D. degrees in electronic engineering from the National University of Defense Technology (NUDT), Changsha, China, in 1986 and 1995, respectively. He is currently a professor with NUDT. His research interests include radar target recognition and radar signal processing. E-mail: xiaoshunping_nudt@163.com
Supported by:
This work was supported by the National Natural Science Foundation of China (62001481; 61890542) and the Natural Science Foundation of Hunan Province (2021JJ40686).

Abstract

Abstract:

Low sidelobe waveform can reduce mutual masking between targets and increase the detection probability of weak targets. A low sidelobe waveform design method based on complementary amplitude coding (CAC) is proposed in this paper, which can be used to reduce the sidelobe level of multiple waveforms. First, the CAC model is constructed. Then, the waveform design problem is transformed into a nonlinear optimization problem by constructing an objective function using the two indicators of peak-to-sidelobe ratio (PSLR) and integrated sidelobe ratio (ISLR). Finally, genetic algorithm (GA) is used to solve the optimization problem to get the best CAC waveforms. Simulations and experiments are conducted to verify the effectiveness of the proposed method.

Key words: waveform design, low sidelobe, complementary amplitude coding (CAC), genetic algorithm (GA)

Ailun XIE, Xiaobin LIU, Qihua WU, Feng ZHAO, Zhenyu QIAO, Shunping XIAO. Radar pulse waveform design method based on complementary amplitude coding[J]. Journal of Systems Engineering and Electronics, 2025, 36(3): 671-680.

Figures/Tables 12

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References 41

1	FENG X, LI F C, FAN Y, et al Radar composite waveform design with low range sidelobes based on particles sampling projection. Systems Engineering and Electronics, 2023, 45 (4): 1008- 1015.
2	CAO Y L, LI M M, QU S H, et al Waveform design of cognitive radar based on joint criteria. Systems Engineering and Electronics, 2022, 44 (11): 3364- 3370.
3	JING Y, LIANG J L, VOROBYOV S A, et al. Joint design of radar transmit waveform and mismatched filter with low sidelobes. Proc. of the 28th European Signal Processing Conference, 2021: 1936−1940.
4	XIE Q Y, LIU C Y, MO Z W, et al A novel pulse-agile waveform design based on random fm waveforms for range sidelobe suppression and range ambiguity mitigation. IEEE Trans. on Geoscience and Remote Sensing, 2023, 61, 5110612.
5	NEUBERGER N, VEHMAS R A costas-based waveform for local range-Doppler sidelobe level reduction. IEEE Signal Processing Letters, 2021, 28, 673- 677. doi: 10.1109/LSP.2021.3067219
6	KHANH N V, TURLEY M D E. A range sidelobe suppression technique based on adaptive spectral shaping for LFM waveforms. Proc. of the International Conference on Radar, 2018. DOI: 10.1109/RADAR.2018.8557251.
7	HUANG Z J, GUR R, ZHENG Z D. OFD-LFM based waveform design with low autocorrelation sidelobes for MIMO radars. Proc. of the 6th International Conference on Electronics Technology, 2023: 1408−1412.
8	MAIO A D, HUANG Y W, PIEZZO M, et al Design of radar receive filters optimized according to L_p-norm based criteria. IEEE Trans. on Signal Processing, 2011, 59 (8): 4023- 4029. doi: 10.1109/TSP.2011.2153199
9	CILLIERS J E, SMIT J C Pulse compression sidelobe reduction by minimization of L_p-norms. IEEE Trans. on Aerospace and Electronic Systems, 2007, 43 (3): 1238- 1247. doi: 10.1109/TAES.2007.4383616
10	FENG X, SONG S, ZHANG Z L, et al. Novel waveform design with low probability of intercept and high Doppler tolerance for modern cognitive radar. Proc. of the IEEE International Conference on Signal, Information and Data Processing, 2019.
11	ZORASTER S Minimum peak range sidelobe filters for binary phasecoded waveforms. IEEE Trans. on Aerospace and Electronic Systems, 1980, 16 (1): 112- 115. doi: 10.1109/TAES.1980.308884
12	BADEN J M, COHEN M N. Optimal peak sidelobe filters for biphase pulse compression. Proc. of the IEEE International Conference on Radar, 1990: 249–252.
13	YU X X, FAN T, QIU H, et al Constrained transceiver design with expanded mainlobe for range sidelobe reduction. IEEE Trans. on Aerospace and Electronic Systems, 2022, 58 (5): 4803- 4813. doi: 10.1109/TAES.2022.3163120
14	WEI T T, WANG W, ZHANG Y W, et al A novel nonlinear frequency modulation waveform with low sidelobes applied to synthetic aperture radar. IEEE Geoscience and Remote Sensing Letters, 2022, 19, 4515405.
15	ZHANG Y W, WANG W, WANG R, et al A novel NLFM waveform with low sidelobes based on modified Chebyshev window. IEEE Geoscience and Remote Sensing Letters, 2020, 17 (5): 814- 818. doi: 10.1109/LGRS.2019.2930817
16	XIE Q Y, ZENG H N, MO Z W, et al A two-step optimization framework for low sidelobe NLFM waveform using Fourier series. IEEE Geoscience and Remote Sensing Letters, 2022, 19, 4020905.
17	KAJENSKI P J Design of low-sidelobe phase-coded waveforms. IEEE Trans. on Aerospace and Electronic Systems, 2019, 55 (6): 2891- 2898. doi: 10.1109/TAES.2019.2906436
18	STOICA P, HE H, LI J New algorithms for designing unimodular sequences with good correlation properties. IEEE Trans. on Signal Processing, 2009, 57 (4): 1415- 1425. doi: 10.1109/TSP.2009.2012562
19	SUN Y H, REN L X, ZHANG K, et al. Unimodular phase-coded waveforms with low sidelobes over desired range-Doppler regions. Proc. of the IEEE International Conference on Signal, Information and Data Processing, 2019. DOI: 10.1109/ICSIDP47821.2019.9173043.
20	KAJENSKI P J Mismatch filter design via convex optimization. IEEE Trans. on Aerospace and Electronic Systems, 2016, 52 (4): 1587- 1591. doi: 10.1109/TAES.2016.140556
21	RABASTE O, SAVY L Mismatched filter optimization for radar applications using quadratically constrained quadratic programs. IEEE Trans. on Aerospace and Electronic Systems, 2015, 51 (4): 3107- 3122. doi: 10.1109/TAES.2015.130769
22	ELHOSHY M, YOUSSEF A. Designing high-performance mismatched filters for radar applications. Proc. of the International Telecommunications Conference, 2023: 545−550.
23	SAKHNINI A, BAUDUIN M, BOURDOUX A, et al. Mismatched filters for high-velocity target detection in PMCW radars. Proc. of the 20th European Radar Conference, 2023: 114−117.
24	ZHOU K, QUAN S N, LI D X, et al Waveform and filter joint design method for pulse compression sidelobe reduction. IEEE Trans. on Geoscience and Remote Sensing, 2021, 60, 5107615.
25	WU L L, BABU P, PALOMAR D P Transmit waveform/receive filter design for MIMO radar with multiple waveform constraints. IEEE Trans. on Signal Processing, 2018, 66 (6): 1526- 1540. doi: 10.1109/TSP.2017.2787115
26	ZHAO L C, PALOMAR D P Maximin joint optimization of transmitting codeand receiving filter in radar and communications. IEEE Trans. on Signal Processing, 2017, 65 (4): 850- 863. doi: 10.1109/TSP.2016.2625267
27	TANG B, TANG J Joint design of transmit waveforms and receive filters for MIMO radar space-time adaptive processing. IEEE Trans. on Signal Processing, 2016, 64 (18): 4704- 4722.
28	ZHOU K, LI D X, SU Y, et al Joint design of transmit waveform and mismatch filter in the presence of interrupted sampling repeater jamming. IEEE Signal Processing Letters, 2020, 27, 1610- 1614. doi: 10.1109/LSP.2020.3021667
29	QIANG X M, XU J C, REN L X, et al. Joint design of mismatched filter and phase coded waveform via mainlobe broadening. Proc. of the 8th International Conference on Signal and Image Processing, 2023: 1004−1008.
30	AKBAR F, GHARIBDOUST K. An orthogonal pulse amplitude modulation signaling for high-speed wireline communications. Proc. of the IEEE International Symposium on Circuits and Systems, 2023. DOI: 10.1109/ISCA46773.2023.10181570.
31	CHERNOYAROV O, GLUSHKOV A, LITVINENKO V, et al Digital demodulator of the quadrature amplitude modulation signals. Measurement Science Review, 2018, 18 (6): 236- 242. doi: 10.1515/msr-2018-0032
32	ZHU K N, WEI S, LI Y A, et al Quantum noise stream cipher scheme with triangular quadrature amplitude modulation and secret probabilistic shaping. Journal of Lightwave Technology, 2023, 42 (5): 1423- 1433.
33	PARK S J Triangular quadrature amplitude modulation. IEEE Communications Letters, 2007, 11 (4): 292- 294. doi: 10.1109/LCOM.2007.348278
34	CHUNG C D Orthogonally multiplexed orthogonal amplitude modulation family. IEEE Trans. on Communications, 2002, 50 (3): 415- 428. doi: 10.1109/26.990904
35	XIE A L, LIU X B, ZHAO F, et al Waveform design and processing method of pulse signal in anechoic chamber measurement. Measurement, 2022, 203, 111938. doi: 10.1016/j.measurement.2022.111938
36	XIE A L, LIU X B, ZHAO F, et al Pulse radar imaging method in an anechoic chamber based on an amplitude modulation design. Remote Sensing, 2022, 14 (18): 4560. doi: 10.3390/rs14184560
37	LIU X B, ZHAO F, XIE A L Target measurement in radio frequency simulation using code-interrupted transmitting and receiving of pulse signal. IEEE Trans. on Antennas and Propagation, 2023, 71 (5): 4451- 4460. doi: 10.1109/TAP.2023.3245292
38	LI C, YANG Y, PANG C, et al A simultaneous polarimetric measurement scheme using one amplitude modulation waveform. IEEE Geoscience and Remote Sensing Letters, 2019, 17 (1): 72- 76.
39	LIU X B, XIE A L, ZHAO F, et al Radar pulse signal design and imaging method based on coded modulation. IEEE Trans. on Geoscience and Remote Sensing, 2022, 60, 5120413.
40	YIN S, YU J H, SONG B, et al GEO target servicing mission scheduling based on multi-group chaotic genetic algorithm. Systems Engineering and Electronics, 2024, 46 (3): 914- 921.
41	HE H, STOICA P Designing unimodular sequence sets with good correlations—including an application to MIMO radar. IEEE Trans. on Signal Processing, 2009, 57 (11): 4391- 4405. doi: 10.1109/TSP.2009.2025108

Parameter	Value
Pulse width/μs	4
Bandwidth/MHz	25
Wavelength/m	0.3
Crossover probability	0.6
Mutation probability	0.001
Population size	100
Maximum number of generations	150

Parameter	Value
Pulse width/μs	10
Bandwidth/MHz	100
Wavelength/m	0.3
Crossover probability	0.6
Mutation probability	0.001
Population size	100
Maximum number of generations	150

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Radar pulse waveform design method based on complementary amplitude coding

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