一种改进的跳频信号参数估计方法
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摘要
针对在跳频信号跳变时刻和跳变频率估计方面实时性和估计精度无法同时兼顾的问题,提出了一种基于短时傅立叶变换(STFT)和多重信号分类(MUSIC)算法的跳频信号参数估计方法。在建立跳频信号数学模型的基础上,利用STFT选取较大时间窗对整个信号在时域进行粗搜索,生成时频谱图,提取时频脊线从而获得跳变时刻,然后选取较小时间窗在已知跳变时间段利用STFT进行跳变时刻的细估计,并利用MUSIC算法进行频率的精确估计。该方法利用STFT的二次估计,减少了MUSIC搜索范围,从而降低了时间开销。仿真表明该算法的跳变时刻频率估计精度高,实时性能满足参数测量需求。
In order to solve the issues that real time and estimation precision about hopping time and frequency cannot be taken into account simultaneously,a parameter estimation method for frequency hopping signal based on Short-Time Fourier Transform( STFT) and Multiple Signal Classification( MUSIC) algorithm is proposed. On the basis of establishing the mathematical model of frequency hopping signal,using the larger time window,STFT searches the whole signal in the time domain,generates the time-frenquency spectrum map,extracts the time-frequency ridge and obtains the hopping time. Then it selects the smaller time window to estimate the hopping time with the known hopping time,and uses the MUSIC to calculate the accurate estimation of the frequency. The method uses STFT to estimate twice,which reduces the searching scope of MUSIC and the time cost. Simulation results show that this algorithm can estimate hop transition times and the hopping frequencies accurately,and the real-time performance can meet the demand of frequency measurement.
In order to solve the issues that real time and estimation precision about hopping time and frequency cannot be taken into account simultaneously,a parameter estimation method for frequency hopping signal based on Short-Time Fourier Transform( STFT) and Multiple Signal Classification( MUSIC) algorithm is proposed. On the basis of establishing the mathematical model of frequency hopping signal,using the larger time window,STFT searches the whole signal in the time domain,generates the time-frenquency spectrum map,extracts the time-frequency ridge and obtains the hopping time. Then it selects the smaller time window to estimate the hopping time with the known hopping time,and uses the MUSIC to calculate the accurate estimation of the frequency. The method uses STFT to estimate twice,which reduces the searching scope of MUSIC and the time cost. Simulation results show that this algorithm can estimate hop transition times and the hopping frequencies accurately,and the real-time performance can meet the demand of frequency measurement.
引文
[1]刘健涛.跳频信号参数盲估计算法研究及实现[D].成都:电子科技大学,2007.LIU Jiantao.Research and implementation of blind estimation algorithm for frequency hopping signal parameters[D].Chengdu:University of Electronic Science and Technology of China,2007.(in Chinese)
[2]SCHMIDT R O.Multiple emitter location and signal parameter estimation[J].International Journal of Engineering Research,2013,2(3):276-280.
[3]刘学军,刘畅,王景芝,等.一种FFT法和MUSIC法结合的间谐波频率估计[J].电力系统保护与控制,2009,37(5):37-40.LIU Xuejun,LIU Chang,WANG Jingzhi,et al.Inter-harmonic parameter estimation based on FFT and MUSIC[J].Power System Protection and Control,2009,37(5):37-40.(in Chinese)
[4]PETRE S,RANDOLPH M.Spectral analysis of signals[M].吴仁彪,译.北京:电子工业出版社,2008.
[5]陈根华,李院民,喻祥,等.一种常规雷达脉冲信号频率估计快速算法[J].南昌工程学院学报,2017,36(3):98-102.CHEN Genhua,LI Yuanmin,YU Xiang,et al.A fast instantaneous frequency estimation algorithm for conventional radar pulse signals[J].Journal of Nanchang Institute of Technology,2017,36(3):98-102.(in Chinese)
[6]刘若兰.跳频通信信号检测及参数估计方法研究[D].成都:电子科技大学,2016.LIU Ruolan.Research on methods of detection and parameter estimation for frequency hopping communication signal[D].Chengdu:University of Electronic Science and Technology of China,2016.(in Chinese)
[7]黄宣钧,覃团发,罗会平.一种用改进MUSIC算法进行频率估计的方法[C]//全国青年通信学术会议论文集.北京:中国通信学会青年工作委员会,2008:1236-1239.
[8]吕志丰,雷宏.基于差值映射的压缩感知MUSIC算法[J].电子与信息学报,2015,37(8):1874-1878.LYU Zhifeng,LEI Hong.A compressed sensing MUSICalgorithm based on difference mapping.[J],Journal of E-lectronics&Information Technology,2015,37(8):1874-1878.(in Chinese)
[9]蒋毅,刘章文,古天祥.MUSIC法的有限域单向快速频率搜索[J].电子科技大学学报,2008,37(2):241-243.JIANG Yi,LIU Zhangwen,GU Tianxiang.Fast frequency estimation way for MUSIC algorithm[J].Journal of University of Electronic Science and Technology of China,2008,37(2):241-243.(in Chinese)
[10]闫锋刚,齐晓辉,刘帅,等.基于子空间旋转变换的低复杂度波达角估计算法[J].电子与信息学报,2016,38(3):629-634.YAN Fenggang,QI Xiaohui,LIU Shuai,et al.Low-complexity DOA estimation algorithm based on subspace rotation transformation[J].Journal of Electronics&Information Technology,2016,38(3):629-634.(in Chinese)
[11]PETRE S,RANDOLPH M.Spectral analysis of signals[M].Beijing:Electronics Industry Press,2002.
[12]蒋毅.基于非参量法的谐波频率估计研究[D].成都:电子科技大学,2008.JIANG Yi.Research on harmonic frequency estimation based on non-parameter methods[D].Chengdu:University of Electronic Science and Technology of China,2008.(in Chinese)
[13]罗朝洪.跳频信号的参数估计和调制识别[D].成都:电子科技大学,2009.LUO Chaohong.Parameter estimation and modulation type identification[D].Chengdu:University of Electronic Science and Technology of China,2009.(in Chinese)
[14]LO P C,LEE Y Y.Real-time implementation of the moving FFT algorithm[M].New York:Elsevier NorthHolland,Inc.,1999,79(3):251-259.
[15]ZHU M Z,JI H B,JIN Y.Parameter estimation of hybrid DS/FH spread spectrum signals based on adaptive decimating STFT[J].Systems Engineering and Electronics,2010,32(3):454-457,462.
[2]SCHMIDT R O.Multiple emitter location and signal parameter estimation[J].International Journal of Engineering Research,2013,2(3):276-280.
[3]刘学军,刘畅,王景芝,等.一种FFT法和MUSIC法结合的间谐波频率估计[J].电力系统保护与控制,2009,37(5):37-40.LIU Xuejun,LIU Chang,WANG Jingzhi,et al.Inter-harmonic parameter estimation based on FFT and MUSIC[J].Power System Protection and Control,2009,37(5):37-40.(in Chinese)
[4]PETRE S,RANDOLPH M.Spectral analysis of signals[M].吴仁彪,译.北京:电子工业出版社,2008.
[5]陈根华,李院民,喻祥,等.一种常规雷达脉冲信号频率估计快速算法[J].南昌工程学院学报,2017,36(3):98-102.CHEN Genhua,LI Yuanmin,YU Xiang,et al.A fast instantaneous frequency estimation algorithm for conventional radar pulse signals[J].Journal of Nanchang Institute of Technology,2017,36(3):98-102.(in Chinese)
[6]刘若兰.跳频通信信号检测及参数估计方法研究[D].成都:电子科技大学,2016.LIU Ruolan.Research on methods of detection and parameter estimation for frequency hopping communication signal[D].Chengdu:University of Electronic Science and Technology of China,2016.(in Chinese)
[7]黄宣钧,覃团发,罗会平.一种用改进MUSIC算法进行频率估计的方法[C]//全国青年通信学术会议论文集.北京:中国通信学会青年工作委员会,2008:1236-1239.
[8]吕志丰,雷宏.基于差值映射的压缩感知MUSIC算法[J].电子与信息学报,2015,37(8):1874-1878.LYU Zhifeng,LEI Hong.A compressed sensing MUSICalgorithm based on difference mapping.[J],Journal of E-lectronics&Information Technology,2015,37(8):1874-1878.(in Chinese)
[9]蒋毅,刘章文,古天祥.MUSIC法的有限域单向快速频率搜索[J].电子科技大学学报,2008,37(2):241-243.JIANG Yi,LIU Zhangwen,GU Tianxiang.Fast frequency estimation way for MUSIC algorithm[J].Journal of University of Electronic Science and Technology of China,2008,37(2):241-243.(in Chinese)
[10]闫锋刚,齐晓辉,刘帅,等.基于子空间旋转变换的低复杂度波达角估计算法[J].电子与信息学报,2016,38(3):629-634.YAN Fenggang,QI Xiaohui,LIU Shuai,et al.Low-complexity DOA estimation algorithm based on subspace rotation transformation[J].Journal of Electronics&Information Technology,2016,38(3):629-634.(in Chinese)
[11]PETRE S,RANDOLPH M.Spectral analysis of signals[M].Beijing:Electronics Industry Press,2002.
[12]蒋毅.基于非参量法的谐波频率估计研究[D].成都:电子科技大学,2008.JIANG Yi.Research on harmonic frequency estimation based on non-parameter methods[D].Chengdu:University of Electronic Science and Technology of China,2008.(in Chinese)
[13]罗朝洪.跳频信号的参数估计和调制识别[D].成都:电子科技大学,2009.LUO Chaohong.Parameter estimation and modulation type identification[D].Chengdu:University of Electronic Science and Technology of China,2009.(in Chinese)
[14]LO P C,LEE Y Y.Real-time implementation of the moving FFT algorithm[M].New York:Elsevier NorthHolland,Inc.,1999,79(3):251-259.
[15]ZHU M Z,JI H B,JIN Y.Parameter estimation of hybrid DS/FH spread spectrum signals based on adaptive decimating STFT[J].Systems Engineering and Electronics,2010,32(3):454-457,462.