高斯白噪声背景下的LFM信号的分数阶Fourier域信噪比分析

刘建成; 刘忠; 王雪松; 肖顺平; 王国玉

doi:10.3724/SP.J.1146.2006.00314

高斯白噪声背景下的LFM信号的分数阶Fourier域信噪比分析

doi: 10.3724/SP.J.1146.2006.00314

基金项目:

全国优秀博士学位论文专项资金(08100101)资助课题

计量
- 文章访问数: 3729
- HTML全文浏览量: 132
- PDF下载量: 1344
- 被引次数: 0
出版历程
- 收稿日期: 2006-03-20
- 修回日期: 2006-08-07
- 刊出日期: 2007-10-19

SNR Analysis of LFM Signal with Gaussian White Noise in Fractional Fourier Transform Domain

摘要

摘要: 目标大机动运动使雷达回波表现为频率和调频率参数均未知的LFM信号。未知参数LFM信号的检测和估计采用分数阶Fourier变换来实现受到越来越多的关注，为此本文着重分析其分数阶Fourier变换的信噪比。首先推导出时限线性调频信号的分数阶Fourier变换模平方，给出了在分数阶Fourier域的峰值点与未知参数的关系，然后研究了附加白噪声LFM信号在分数阶Fourier域的统计特性，确定了其信噪比，并与理想情况(即参数频率和调频率参数已知)下线性相位匹配滤波器的输出信噪比进行了比较。
- LFM信号;参数估计;分数阶Fourier变换;信噪比
Abstract: Due to the motion of a target, radar return signals are usually LFM signals with unknown frequency and unknown frequency modulated rate. Fractional Fourier transform has recently attracted much attention in detection and parameter estimation of multi-component LFM signals. Fractional Fourier transform of LFM signal of finite duration is derived and a relation between coordinate of the peak and unknown parameters is given. Statistical characteristic of LFM signal with white noise in fractional Fourier domain is studied, a closed form expression is found for Signal-to-Noise Ratio(SNR), and it is compared with matched filter of ideal situation (i.e. parameters of LFM signal are known).

HTML全文

参考文献(1)

Namias V. The fractional order Fourier transform and its applications to quantum mechanics[J].Journal of Institute Applied Math.1980, 25(3):241-265[2]Gianfranco Cariolario. A unified framework for the fractional Fourier transform[J].IEEE Trans. oOn Signal Processing.1998, 46(12):3206-3219[3]Ozaktas H M and B Barshan, et al.. Convolution, filtering and multiplexing in fractional domains and their relation to chirp and wavelet transforms[J]. Journal of Optical Society America (A), 1993, 11(2): 547-559.[4]孙晓兵，保铮. 分数阶Fourier变换及其应用[J]. 电子学报, 1996, 24(12): 60-65. Xun Xiao-bing and Bao Zheng. Fractional Fourier transform and its application[J]. Acta Electronica Sinica, 1996, 24(12): 60-65.[5]陶然，齐林，等. 分数阶 Fourier 变换的原理与应用[M]. 北京: 清华大学出版社, 2004: 1-6. Tao Ran and Qi Lin, et al.. Theory and Applications of the fractional Fourier Transform[M]. Beijing: Tsinghua University Press, 2004: 1-6.[6]Ozaktas H M and Arikan Orhan, et al.. Digital computation of the fractional Fourier transform[J].IEEE Trans. on Signal Processing.1996, 44(9):2141-2150[7]Pei Soo-Chang and Yeh Min-Hung, et al.. Discrete fractional Fourier transform based on orthogonal projections[J].IEEE Trans. On Signal Processing.1999, 47(5):1335-1348[8]Candan C and Kutay M A, et al.. The discrete fractional Fourier transform[J].IEEE Trans. on Signal Processing.2000, 48(5):1329-1337[9]Almeida L B. The fractional Fourier transform and time-frequency representations[J].IEEE Trans. on Signal Processing.1994, 42(11):3084-3091[10]董永强，陶然，等. 基于分数阶Fourier 变换的 SAR 运动目标检测与成像[J]. 兵工学报, 1999, 20(2):132-136. Dong Yong-qiang and Tao Ran, et al.. SAR moving target detection and imaging based on fractional Fourier transform[J]. Acta Rmamentarii, 1999, 20(2): 132-136.[11]Sun Hong-Bo and Liu Guo-Sui, et al.. Application of the fractional Fourier transform to moving target detection in airborne SAR[J].IEEE Trans. on Aerospace and Electronics Systems.2002, 38(4):1416-1424[12]齐林，陶然，等. 基于分数阶Fourier变换的多分量LFM信号的检测和参数估计[J]. 中国科学, E辑, 2003,33(8):749-759. Qi Lin and Tao Ran, et al.. Multicomponent LFM signal detection and parameter estimation based on fractional Fourier transform[J]. Science in China, Series E, 2003, 33(8): 749-759.[13]Barbarossa S. Analysis of multicomponent LFM signals by a combined Wigner-Hough transform[J].IEEE Trans. on Signal Processing.1995, 43(6):1511-1515

施引文献

资源附件(0)

访问统计