Abstract：The hyperbolic frequency-modulation (HFM) waveform is more conducive to high speed moving target detection and imaging than the commonly used linear frequency-modulation (LFM) waveform, due to its inherent Doppler-invariant property. However, the generation of radar echoes is computationally intensive when using high frequency algorithms for complex electrically large targets. A fast method was developed for generating HFM radar echoes using static electromagnetic data for HFM waveforms in wideband radar imaging with the computational complexity effectively reduced by phase-matched filtering and frequency domain down-sampling. The result is used to study the influence to HFM signal matched filtering for high-speed movements. This method is also suitable for LFM waveforms. Simulations verify the accuracy and effectiveness of this method.
 Remley W R. Doppler dispersion effects in matched filter detection and resolution [J]. Proceedings of the IEEE, 1966, 54(1): 33-39.
 Ramp H O, Wingrove Jr E R. Performance degradation of linear FM-pulse-compression systems due to the Doppler effect [J]. Proc IRE, 1961, 49: 1693.
 黄小红,邱兆坤,王伟. 目标高速运动对宽带一维距离像的影响及补偿方法研究 [J]. 信号处理, 2002, 06:487-490.HUANG Xiaohong, QIU Zaokun, Wang Wei, Research oneffect of wideband range profile imaging and compensating method for target moving with high velocity [J]. Signal Processing, 2002, 06:487-490. (in Chinese)
 Tian B, Chen Z, Xu S, et al.ISAR imaging compensation of high speed targets based on integrated cubic phase function [C]// Eighth International Symposium on Multispectral Image Processing and Pattern Recognition. Wuhan, China: International Society for Optics and Photonics, 2013: 89170B1-89170B8.
 Kroszczynski J J. Pulse Compression by means of linear-period modulation [J]. Proc IEEE, 1969, 57(7): 1260-1266.
 Yang J, Sarkar T K. Doppler-invariant property of hyperbolic frequency modulated waveforms [J]. Microwave and optical technology letters, 2006, 48(6): 1174-1179.
 Zhang L, Xu X, Feng W, et al. HFM spread spectrum modulation scheme in shallow water acoustic channels [C]// IEEE OCEANS Conference, Hampton Roads, VA, USA: IEEE Press, 2012: 1-6.
 Marszal J, Salamon R. Distance measurement errors in silent FM-CW sonar with matched filtering [J]. Metrology and Measurement Systems, 2012, 19(2): 321-332.
 McCue J J G. Modulation diversity for pulse compressing radars [J]. IEEE Transactions on Aerospace Electronic Systems, 1977, 13: 541-544.
 王虹现,全英汇,邢孟道,等. 基于FPGA的SAR回波仿真快速实现方法 [J]. 系统工程与电子技术,2010,11:2284-2289. WANG Hongxian, QUAN Yinghui, XING Mengdao, et al, Fast realization of SAR echo simulation based on FPGA [J]. System Engineering and Electronics, 2010, 11:2284-2289. (in Chinese)
 王海彬. 基于高频电磁散射理论的电大复杂目标宽带雷达回波快速计算方法 [J]. 电子学报, 2010, 38(3): 561-566.WANG Haibin. A fast frequency algorithm for predicting wide band radar signal of large complex targets [J]. ACTA ELECTRONICA SINICA, 2010, 38(3): 561-566. (in Chinese)
 姜卫东, 曹敏, 聂镭, 等. 空间目标动态电磁测量数据仿真方法研究 [J]. 系统工程与电子技术, 2009, 31(9): 2042-2045. JIANG Weidong, CAO Min, NIE Lei, et al. Study on dynamic electromagnetic data simulation of space targets [J]. System Engineering and Electronics, 2009, 31(9): 2042-2045. (in Chinese)
 姚汉英, 李星星, 孙文峰, 等. 基于电磁散射数据的弹道目标宽带回波仿真 [J]. 系统仿真学报, 2013, 25(004): 599-604. YAO Hanying, LI Xingxing, SUN Wenfeng, et al. Wideband echo simulation of ballistic targets based on electromagnetic scattering data [J]. Journal of System Simulation, 2013, 25(004): 599-604. (in Chinese)
 王超. 高频电磁散射建模方法及工程应用 [D].北京: 中国传媒大学,2009.WANG Chao. High Frequency Electromagnetic Scattering Modeling and Its Application [D]. Beijing: Communication University of China, 2009. (in Chinese)