基于空间角度-距离-速度的三维模糊函数
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摘要
传统模糊函数是针对距离-速度两维目标分辨力提出的,从而给相邻目标距离-速度联合分辨提供一个评判标准,用以表征雷达发射波形的分辨能力。本文由模糊函数的定义出发,将二维模糊函数进行空间角度上的扩展,可用于阵列雷达系统在距离-速度-方位角三维上评估雷达发射波形的分辨力,即模糊函数能够定量表示"干扰目标"和观测目标可分辨能力,并且能够作为雷达波形选择优化、设计的依据。仿真实验和性能分析证明了本文所推导三维模糊函数的正确性和合理性。
In order to characterize the radar resolution,the original two dimensional ambiguity function is proposed to provide a conservation estimate for the joint distance-velocity resolution.In this paper,the ambiguity function is extended to three dimensions.So that,the array radar system can evaluate the radar resolution of the waveform in three dimensional of distance,velocity and azimuth angle.So the ambiguity function can represent the resolution ability between the interference and the target.The simulation experiment and performance analysis prove the validity and rationality of three dimensional ambiguity function.
In order to characterize the radar resolution,the original two dimensional ambiguity function is proposed to provide a conservation estimate for the joint distance-velocity resolution.In this paper,the ambiguity function is extended to three dimensions.So that,the array radar system can evaluate the radar resolution of the waveform in three dimensional of distance,velocity and azimuth angle.So the ambiguity function can represent the resolution ability between the interference and the target.The simulation experiment and performance analysis prove the validity and rationality of three dimensional ambiguity function.
引文
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[2]林茂庸.信号理论与应用[M].北京:电子工业出版社,1990:118.Lin Maoyong.Signal theory and application[M].Beijing:National Defense Industry Press,1990:118.
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[8]张卫,唐希源,顾红,等.OFDM雷达信号模糊函数分析[J].南京理工大学学报,2011,35(4):513-518.Zhang Wei,Tang Xiyuan,Gu Hong,et al.Ambiguity function analysis for OFDM radar[J].Journal of Nanjing University of Technology,2011,35(4):513-518.
[9]李秀友,关键,薛永华,等.模糊函数约束下的高多普勒容忍性波形设计方法[J].信号处理,2015,31(12):1612-1618.Li Xiuyou,Guang Jian,Xue Yonghua,et al.High Doppler tolerance waveform design method constrained by ambiguity function[J].Journal of Signal Processing,2015,31(12):1612-1618.
[10]Li Y,Vorobyov S A,Koivunen V.Ambiguity function of the transmit beamspace-based MIMO radar[J].IEEE Transactions on Signal Processing,2015,63(17):4445-4457.
[11]Khan W,Qureshi I M,Sultan K.Ambiguity function of phased-MIMO radar with colocated antennas and its properties[J].IEEE Geoscience and Remote Sensing Letter,2014,11(7):1220-1224.
[12]Chen Haowen,Chen Yiping,Yang Zhaocheng,et al.Extended ambiguity function for bistatic MIMO radar[J].Journal of Systems Engineering and Electronics,2012,23(2):195-200.
[13]Shtarkalev B,Mulgrew B.Effects of FDMA/TDMA orthogonality on the Gaussian pulse train MIMO ambiguity function[J].IEEE Signal Processing Letters,2015,22(2):153-157.
[14]Cheng Shengjuan,Wang Wenqin,Shao Huaizong.Large time-bandwidth product OFDM chirp waveform diversity using for MIMO radar[J].Multidimensional Systems and Signal Processing,2016,27(1):145-158.
[15]Chitgarha M M,Radmard M,Nazari M M,et al.MIMO radar signal design to improve the MIMO ambiguity function via maximizing its peak[J].Signal Processing,2016,118(C):139-152.
[2]林茂庸.信号理论与应用[M].北京:电子工业出版社,1990:118.Lin Maoyong.Signal theory and application[M].Beijing:National Defense Industry Press,1990:118.
[3]刘领荣,王凌,姚远程,等.复合线性调频信号的模糊函数分析[J].西安理工大学学报,2011,27(4):481-485.Liu Lingrong,Wang Ling,Yao Yuancheng,et al.Analysis of ambiguity function of combined linear frequency modulation signal[J].Journal of Xi′an University of Technology,2011,27(4):481-485.
[4]陈伯孝,张守宏.稀布阵综合脉冲孔径雷达的四维模糊函数及其分辨率[J].信号处理,1998,14(A):33-38.Chen Baixiao,Zhang Shouhong.The four-dimentional ambiguity function and resolution of SINA[J].Journal of Signal Processing,1998,14(A):33-38.
[5]Antonio G S,Fuhrmann D R,Robey F C.MIMO radar ambiguity functions[J].IEEE Journal of Selected Topics in Signal Processing,2007,1(1):167-177.
[6]何友,张财生.无源双基地雷达广义相参检测性能分析[J].数据采集与处理,2014,29(4):486-495.He You,Zhang Caisheng.Generalized coherent detection performance analysis for passive bistatic radar[J].Journal of Data Acquisition and Processing,2014,29(4):486-495.
[7]施群,张弓,刘文波.混沌理论在MIMO雷达波形设计中的应用[J].数据采集与处理,2010,25(4):525-529.Shi Qun,Zhang Gong,Liu Wenbo.Application of chaos theory to MIMO radar waveform design[J].Journal of Data Acquisition and Processing,2010,25(4):525-529.
[8]张卫,唐希源,顾红,等.OFDM雷达信号模糊函数分析[J].南京理工大学学报,2011,35(4):513-518.Zhang Wei,Tang Xiyuan,Gu Hong,et al.Ambiguity function analysis for OFDM radar[J].Journal of Nanjing University of Technology,2011,35(4):513-518.
[9]李秀友,关键,薛永华,等.模糊函数约束下的高多普勒容忍性波形设计方法[J].信号处理,2015,31(12):1612-1618.Li Xiuyou,Guang Jian,Xue Yonghua,et al.High Doppler tolerance waveform design method constrained by ambiguity function[J].Journal of Signal Processing,2015,31(12):1612-1618.
[10]Li Y,Vorobyov S A,Koivunen V.Ambiguity function of the transmit beamspace-based MIMO radar[J].IEEE Transactions on Signal Processing,2015,63(17):4445-4457.
[11]Khan W,Qureshi I M,Sultan K.Ambiguity function of phased-MIMO radar with colocated antennas and its properties[J].IEEE Geoscience and Remote Sensing Letter,2014,11(7):1220-1224.
[12]Chen Haowen,Chen Yiping,Yang Zhaocheng,et al.Extended ambiguity function for bistatic MIMO radar[J].Journal of Systems Engineering and Electronics,2012,23(2):195-200.
[13]Shtarkalev B,Mulgrew B.Effects of FDMA/TDMA orthogonality on the Gaussian pulse train MIMO ambiguity function[J].IEEE Signal Processing Letters,2015,22(2):153-157.
[14]Cheng Shengjuan,Wang Wenqin,Shao Huaizong.Large time-bandwidth product OFDM chirp waveform diversity using for MIMO radar[J].Multidimensional Systems and Signal Processing,2016,27(1):145-158.
[15]Chitgarha M M,Radmard M,Nazari M M,et al.MIMO radar signal design to improve the MIMO ambiguity function via maximizing its peak[J].Signal Processing,2016,118(C):139-152.