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基于高斯短时分数阶傅里叶变换的多分量LFM信号检测与参数估计

李家强 金荣洪 耿军平 范瑜 毛炜

李家强, 金荣洪, 耿军平, 范瑜, 毛炜. 基于高斯短时分数阶傅里叶变换的多分量LFM信号检测与参数估计[J]. 电子与信息学报, 2007, 29(3): 570-573. doi: 10.3724/SP.J.1146.2005.00857
引用本文: 李家强, 金荣洪, 耿军平, 范瑜, 毛炜. 基于高斯短时分数阶傅里叶变换的多分量LFM信号检测与参数估计[J]. 电子与信息学报, 2007, 29(3): 570-573. doi: 10.3724/SP.J.1146.2005.00857
Li Jia-qiang, Jin Rong-hong, Geng Jun-ping, Fan Yu, Mao Wei . Detection and Estimation of Multi-component LFM Signals Based on Gauss Short-Time Fractional Fourier Transform[J]. Journal of Electronics & Information Technology, 2007, 29(3): 570-573. doi: 10.3724/SP.J.1146.2005.00857
Citation: Li Jia-qiang, Jin Rong-hong, Geng Jun-ping, Fan Yu, Mao Wei . Detection and Estimation of Multi-component LFM Signals Based on Gauss Short-Time Fractional Fourier Transform[J]. Journal of Electronics & Information Technology, 2007, 29(3): 570-573. doi: 10.3724/SP.J.1146.2005.00857

基于高斯短时分数阶傅里叶变换的多分量LFM信号检测与参数估计

doi: 10.3724/SP.J.1146.2005.00857
基金项目: 

国家自然科学基金委创新研究群体基金项目(60521002)资助课题

Detection and Estimation of Multi-component LFM Signals Based on Gauss Short-Time Fractional Fourier Transform

  • 摘要: 该文针对线性调频信号,提出一种基于分数阶波包变换分析方法高斯短时分数阶傅里叶变换。通过旋转角度的搜索及高斯窗口宽度的调整,能够在低信噪比条件下对多分量LFM信号进行检测,避免交叉项的出现,并能得到参数的估计值。通过推导分析给出变换结果的解析表达式,计算机仿真结果也表明了该变换的有效性。
  • [1] Milne P R and Pace P E. Wigner distribution detection and analysis of FMCW and P-4 polyphase LPI waveforms. IEEE International Conference on Acoustics, Speech, and Signal Processing, Orlando, USA, May 2002, Vol.4: 3944-3947. [2] 戴延中, 李志舜. 基于Wigner-Ville 分布的宽带回波到达时 刻估计方法. 声学学报, 2002, 27(1): 84-87. Dai Yan-zhong and Li Zhi-shun. Time of arrival estimation of wideband echoes based on Wigner-Ville distribution. Acta Acustica, 2002, 27(1): 84-87. [3] Hyung-Ill Chol and Williams J. Improved time-frequency representation of multicomponent signals using exponential kernels[J].IEEE Trans. on Acoustics Speech and Signal Processing.1989, 37(6):862-871 [4] L. 科恩著, 白居宪译. 时-频分析: 理论与应用[M]. 西安: 西 安交通大学出版社, 1998: 68-75. [5] 邹红星, 戴琼海, 李衍达等. 不含交叉项干扰且具有WVD积 聚性的时频分布之不存在性.中国科学(E 辑), 2001, 31(4): 348-354. Zou Hong-xing, Dai Qiong-hai, and Li Yan-da et al.. The time-frequency distributions with WVD concentration without cross terms interference not exist. Science in China (Series E), 2001, 31(4): 348-354. [6] Jeong J and Williams J. Kernel design for reduced interference distributions[J].IEEE Trans. on Signal Processing.1992, 40(2):402-412 [7] 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, 2001: 20-25. [8] Namias V. The fractional Fourier transform and its application in quantum mechanics[J].J Inst Appl Math.1980, 25(1):241-265 [9] 李家强, 金荣洪, 范瑜, 毛炜. LFM信号参数联合估计新方法. 现代雷达, 2006, 28(1): 45-48. Li Jia-qiang, Jin Rong-hong, Fan Yu, and Mao Wei. Differential method in domain frequency: A new algorithm for the joint parameter estimation of LFM. Modern Radar, 2006, 28(1): 45-48. [10] Huang Ying and Suter B. Fractional wave packet transform. IEEE Digital Signal Processing Workshop Proceedings, Loen, Norway, 1996: 413-415. [11] Almeida B. Product and convolution theorems for the fractional Fourier transform[J].IEEE Signal Processing Letters.1997, 4(1):15-17 [12] Capus C and Brown K. Fractional Fourier transform of the Gaussian and fractional domain signal support[J].IEE Proc.-Vis. Image Signal Process.2003, 150(2):99-106
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出版历程
  • 收稿日期:  2005-07-18
  • 修回日期:  2006-09-18
  • 刊出日期:  2007-03-19

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