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

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