改进的离散S变换快速算法与连续小波变换算法性能分析
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摘要
S变换具有良好的时频结合特性,在信号处理领域受到了极大重视,在通信信号侦察处理领域具有广阔的应用前景。本文在研究S变换基本原理的基础上,针对目前常用的离散S变换算法进行了分析,指出了其在实现过程中存在的问题,提出了改进的离散S变换快速算法,以减少离散S变换的运算量。为了验证算法的有效性,本文将改进的离散S变换快速算法、传统离散S变换算法以及典型的多尺度时频分析方法—连续小波变换算法,进行了算法性能对比分析和仿真实验。实验结果表明了改进离散S变换快速算法比传统离散S变换算法和连续小波变换在算法的运算量方面要少一至几个数量级,证明了改进算法的有效性。结论对于通信信号快速侦察算法的工程化具有重要的意义。
Due to its excellent time-frequency combination properties,S transform has got great attention in the field of signal processing and has great applying prospect in the field of communication signals' reconnaissance.Based on the study of basic principles of S transform,the commonly used algorithm of discrete S transform and its disadvantages are analyzed in this paper.The improved discrete S transform fast algorithm is proposed to reduce the computation of discrete S transform as well as achieve the fast discrete S transform operations.To examine and certify the effectiveness of the proposed algorithm,the simulation and the compare of the performance among the improved discrete S transform,the traditional discrete S transform and CWT are preceded.The result shows that the amount calculation of the improved discrete S transform fast algorithm is less one or more orders of magnitude than the traditional discrete S transform and CWT.Simulation and performance analysis proved the effectiveness to improve algorithm of discrete S transform.The improved algorithm has great significance to the engineering of the communication signal's fast reconnaissance.
Due to its excellent time-frequency combination properties,S transform has got great attention in the field of signal processing and has great applying prospect in the field of communication signals' reconnaissance.Based on the study of basic principles of S transform,the commonly used algorithm of discrete S transform and its disadvantages are analyzed in this paper.The improved discrete S transform fast algorithm is proposed to reduce the computation of discrete S transform as well as achieve the fast discrete S transform operations.To examine and certify the effectiveness of the proposed algorithm,the simulation and the compare of the performance among the improved discrete S transform,the traditional discrete S transform and CWT are preceded.The result shows that the amount calculation of the improved discrete S transform fast algorithm is less one or more orders of magnitude than the traditional discrete S transform and CWT.Simulation and performance analysis proved the effectiveness to improve algorithm of discrete S transform.The improved algorithm has great significance to the engineering of the communication signal's fast reconnaissance.
引文
[1]张贤达.现代信号处理[M].北京:清华大学出版社,2002.
[2]Stockwell R G,Mansinha L,Lowe R P.Localization of thecomplex spectrum:The S transform[J].IEEETransactions on Signal Processing,1996,44(4):998-1001.
[3]Sergi V,Carine S,Martin S.The S-transform from awavelet point of view[J].IEEE Transactions on SignalProcessing,2008,56(7):2771-2780.
[4]陈学华,贺振华,黄德济.广义S变换及其时频滤波[J].信号处理,2008,24(1):28-31.Chen Xue-hua,He Zhen-hua,Huang De-ji.GeneralizedS transform and its time-frequency filtering[J].SignalProcessing,2008,24(1):28-31.(in Chinese)
[5]Theophanis S,Queen J.Color display of the localizedspectrum[J].Geophysics,2000,65(4):1330-1340.
[6]陈学华,贺振华.改进的S变换及在地震信号处理中的应用[J].数据采集与处理,2005,20(4):449-453.Chen Xue-hua,He Zhen-hua.Improved S-Transform andits application in seismic signal processing[J].Journalof Data Acquisition&Processing,2005,20(4):449-453.(in Chinese)
[7]刘传武,张智军,毕笃彦.S变换在雷达目标识别中的应用[J].系统仿真学报,2008,20(12):3290-3292.Liu Chuan-wu,Zhang Zhi-jun,Bi Du-yan.Radar targetsrecognition using S transform[J].Journal of System Sim-ulation.2008,20(12):3290-3292.(in Chinese)
[8]武开有,马绪等.基于S变换的跳频信号参数估计[J].军事通信技术,2009,29(3):7-11.Wu Kai-you,Ma Xu.Parameter estimation of frequency-hopping signals based on S-Transform[J].Journal ofMilitary Communications Technology.2009,29(3):7-11.(in Chinese)
[9]陈学华,贺振华,陈震.基于能量归一化窗的S变换及应用[J].数据采集与处理,2009,24(4):458-463.Chen Xuehua,He Zhenhua,Chen Zhen.Normalizedwindow based S transform and its application[J].Journal of Data Acquisition&Processing.2009,24(4):458-463.(in Chinese)
[10]张贤达,保铮.非平稳信号分析与处理[M].北京:国防工业出版社,1998.
[2]Stockwell R G,Mansinha L,Lowe R P.Localization of thecomplex spectrum:The S transform[J].IEEETransactions on Signal Processing,1996,44(4):998-1001.
[3]Sergi V,Carine S,Martin S.The S-transform from awavelet point of view[J].IEEE Transactions on SignalProcessing,2008,56(7):2771-2780.
[4]陈学华,贺振华,黄德济.广义S变换及其时频滤波[J].信号处理,2008,24(1):28-31.Chen Xue-hua,He Zhen-hua,Huang De-ji.GeneralizedS transform and its time-frequency filtering[J].SignalProcessing,2008,24(1):28-31.(in Chinese)
[5]Theophanis S,Queen J.Color display of the localizedspectrum[J].Geophysics,2000,65(4):1330-1340.
[6]陈学华,贺振华.改进的S变换及在地震信号处理中的应用[J].数据采集与处理,2005,20(4):449-453.Chen Xue-hua,He Zhen-hua.Improved S-Transform andits application in seismic signal processing[J].Journalof Data Acquisition&Processing,2005,20(4):449-453.(in Chinese)
[7]刘传武,张智军,毕笃彦.S变换在雷达目标识别中的应用[J].系统仿真学报,2008,20(12):3290-3292.Liu Chuan-wu,Zhang Zhi-jun,Bi Du-yan.Radar targetsrecognition using S transform[J].Journal of System Sim-ulation.2008,20(12):3290-3292.(in Chinese)
[8]武开有,马绪等.基于S变换的跳频信号参数估计[J].军事通信技术,2009,29(3):7-11.Wu Kai-you,Ma Xu.Parameter estimation of frequency-hopping signals based on S-Transform[J].Journal ofMilitary Communications Technology.2009,29(3):7-11.(in Chinese)
[9]陈学华,贺振华,陈震.基于能量归一化窗的S变换及应用[J].数据采集与处理,2009,24(4):458-463.Chen Xuehua,He Zhenhua,Chen Zhen.Normalizedwindow based S transform and its application[J].Journal of Data Acquisition&Processing.2009,24(4):458-463.(in Chinese)
[10]张贤达,保铮.非平稳信号分析与处理[M].北京:国防工业出版社,1998.
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