期刊文献+

线性调频参数估计方法的数学统一 被引量:7

Mathematical Unification of LFM Parameters Estimation Methods
在线阅读 下载PDF
导出
摘要 本文给出了连续复线性调频(LFM)信号Radon-Wigner变换(RWT)、Wigner-Hough变换(WHT)、分数阶傅立叶变换(FrFT)、解线调方法(Dechirp)和最大似然(ML)方法的相互转换关系。给出了参数估计的最佳表述及其离散形式,省略包含调频率的表达式系数,将RWT、WHT、FrFT和Dechirp和ML方法用统一表达式表述。几种方法的离散LFM信号参数估计均可以用ML或去斜方法实现,并采用FFT方法提高运算速度,因此最佳快速算法的计算量和估计性能是相同的。本文对于这几种参数估计方法的快速算法和估计性能研究具有指导意义。 The reciprocal transforming relationship of FM (Frequency Modulation) parameters estimation methods for continuous complex LFM signal, including Radon-Wigner transform ( RWT), Wigner-Hough transform ( WHT), Fractional Fourier transform ( FrFT), Dechirp and Maximum Likelihood ( ML), is given in this paper. The optimal expression and discrete form of FM parameters esti- mation is proposed, which omits the coefficient of chirp rate, and those methods are given in uniform expression. For discrete sampling signal, those methods can be carried out via ML or Dechirp, and the fast Fourier transform (FFT) can be utilized to improve the operation speed. The operation amount and estimation performance are uniform for those methods via the optimal algorithm. The paper can be used to help the study of the fast algorithm and estimation performance analysis of those methods of FM parameters estimation.
出处 《信号处理》 CSCD 北大核心 2009年第8期1292-1297,共6页 Journal of Signal Processing
基金 国家自然科学基金项目(60672033)
关键词 调频参数估计 Radon-Wigner变换(RWT) Wigner-Hough变换(WHT) 分数阶傅立叶变换(FrFT) 解线调方法 最大似然(ML) FM parameters estimation Radon-Wigner transform(RWT) Wigner-Hough transform (WHT) Fractional Fouriertransform (FrFT) Deehirp Maximum Likelihood(ML)
  • 相关文献

参考文献21

  • 1Kelly E J. The radar measurement of range, velocity and acceleration [ J ]. IRE Trans. Military Electronics, 1961, MIL-5:51-57.
  • 2Bello P. Joint estimation of delay, Doppler and Doppler rate [ J ]. IRE Trans. Information Theory, 1960, IT-6:330-341.
  • 3Abatzoglou T J. Fast maximum likelihood joint estimation of frequency and frequency rate [ J ]. IEEE Trans. AES, 1986,22(6) :708-715.
  • 4Peleg S and Porat B. Linear FM signal parameter estimation from discrete-time observations [ J ]. IEEE Trans. AES, 1991,27(4) :607-615.
  • 5Peleg S ,Porat B. Estimation and classification of polynomial phase signals [ J ]. IEEE Trans. Information Theory, 1991,37 (2):423-430.
  • 6Friedlander B. Parametric signal analysis using the polynomial phase transform [ J ]. IEEE Signal Processing Work shop on Higher-Order Statistics, 1993 : 151-159.
  • 7Xia X G. Discrete Chirp-Fourier transform and its application to chirp rate estimation[J]. IEEE Trans. Signal Processing,2000,48( 11 ) : 3122-3133.
  • 8Wood J C and Barry D T. Radon transformation of time-frequency distributions for analysis of multicomponent signals[J]. IEEE Trans. Signal Processing, 1994,42( 11 ) : 3166-3177.
  • 9Wood J C and Barry D T. Linear signal synthesis using the Radon-Wigner transform[ J]. IEEE Trans. Signal Processing, 1994,42 ( 8 ) :2105-2111.
  • 10Barbarossa S. Analysis of multi component LFM signals by a combined Wigner-Hough transform [ J ]. IEEE Trans. Signal Processing, 1995,43 ( 6 ) : 1511-1515.

二级参考文献52

  • 1赵兴浩,邓兵,陶然.分数阶傅里叶变换数值计算中的量纲归一化[J].北京理工大学学报,2005,25(4):360-364. 被引量:129
  • 2Tao Ran, Ping Xianjun, Zhao Xinghao. Detection and estimation of moving targets based on fractional Fourier transform [Z]. International Conference on Signal Processing, Beijing, 2002.
  • 3Barbarossa S. Analysis of multicomponent LFM signals by a combined Wigner-Hough transform[J].IEEE Trans Signal Processing, 1995,43 :1511 -- 1515.
  • 4Wang Minsheng, Chan Andrew K. Linear frequencymodulated signal detection using Radon-Ambiguity transform[J]. IEEE Trans Signal Processing, 1998,46:571--586.
  • 5Almeida B. The fractional Fourier transform and time-frequency representation[J]. IEEE Trans Signal Processing, 1994,42:3084-- 3091.
  • 6Ozaktas H M, Kutay M A. Digital computation of the fractional Fourier transform[J]. IEEE Trans Signal Processing, 1996,44(9) : 2141 -- 2150.
  • 7Pei S C, Yeh M H. Discrete fractional Fourier transform based on orthogonal projections[J]. IEEE Trans Signal Processing, 1999,47 ( 5 ) : 1335 -- 1348.
  • 8Candan C, Kutay M A. The discrete fractional Fourier transform[J]. IEEE Trans Signal Processing,2000,48(5) : 1329-- 1337.
  • 9Tao Ran, Ping Xianjun, Zhao Xinghao. A novel discrete fractional Fourier transform [Z]. CIE International Conference of Radar, Beijing,2001.
  • 10Boashash B. Estimating and interpreting the instantaneous frequency of a signal. Proc IEEE, 1992, 80(4): 519-569.

共引文献255

同被引文献62

引证文献7

二级引证文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部