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引用本文:李晨, 张劲东,丁逊, 尚东东. LFM-PC复合调制信号优化设计算法[J]. 雷达科学与技术, 2021, 19(1): 92-98.[点击复制]
LI Chen, ZHANG Jindong, DING Xun, SHANG Dongdong. Optimal Design Algorithm of LFM-PC Hybrid Modulated Signal[J]. Radar Science and Technology, 2021, 19(1): 92-98.[点击复制]
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LFM-PC复合调制信号优化设计算法
李晨, 张劲东,丁逊, 尚东东
南京航空航天大学电子信息工程学院,江苏南京 211100
摘要:
针对相位编码(Phase Coded,PC)信号在高速运动平台和高速目标探测中运用存在多普勒敏感问题,研究了一种基于线性调频(Linear Frequency Modulation, LFM)信号和相位编码信号复合调制的宽多普勒容限信号形式——LFM-PC复合调制信号。本文推导了LFM-PC信号的模糊函数,在多普勒容限内以最小归一化积分旁瓣为准则建立了信号优化设计模型,提出了基于交替方向乘子法(Alternating Direction Method of Multipliers,ADMM)的低复杂度信号优化算法。仿真结果表明,基于此算法优化设计的LFM-PC信号具有宽多普勒容限的同时降低了归一化旁瓣,并且此优化算法具有收敛速度快、运算量低的特点。
关键词:  复合调制信号  模糊函数  多普勒容限  信号优化设计  交替方向乘子法
DOI:10.3969/j.issn.1672-2337.2021.01.015
分类号:TN958.3
基金项目:航空科学基金(No.2017052015, 20182007001)
Optimal Design Algorithm of LFM-PC Hybrid Modulated Signal
LI Chen, ZHANG Jindong, DING Xun, SHANG Dongdong
College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211100, China
Abstract:
Phase coded (PC) signal has Doppler sensitivity problem when used in high-speed moving platforms and high-speed target detection. A wide Doppler tolerance signal form based on the hybrid modulation of linear frequency modulation (LFM) signal and PC signal—LFM-PC signal is studied to deal with this problem in this paper. The ambiguity function of LFM-PC signal is deduced and the optimal design model of the signal is established within the Doppler tolerance based on the criterion of the minimum normalized integral side lobe. A low-complexity signal optimization algorithm based on alternating direction method of multiplier (ADMM) is proposed. The simulation results show that the LFM-PC signal based on this optimization algorithm has a wide Doppler tolerance while reducing the normalized side lobes. The optimization algorithm has the characteristics of fast convergence speed and low calculation amount.
Key words:  hybrid modulated signal  ambiguity function  Doppler tolerance  signal optimization design  alternating direction method of multipliers

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