参考文献/References:
[1] Lohmann A W.Image rotation,wigner rotation,and the fractional fourier transform [J].Journal of the Optical Society America A,1993,10(10):2181-2186.
[2] Fan Hongyi,Fan Yue.EPR entangled states and complex fractional Fourier transformation [J].European Physical Journal D,2002,21(2):233-238.
[3] 陆大全,胡巍.椭圆响应强非局域非线性介质中的二维异步分数傅里叶变换及光束传输特性 [J].物理学报,2013,62(8):84211-84217.
[4] 颜才杰,金伟民.利用全息透镜阵列实现多通道分数傅里叶变换 [J].激光与红外,2005,35(10):762-764.
[5] Mei Lin,Zhang Qinyu,Sha Xuejun,et al.Digital computation of the weighted-type fractional Fourier transform [J].Science China Information Sciences,2013,56(7):1-12.
[6] Sejdic E,Djurovic I,Stankovic L.Fractional Fourier transform as a signal processing tool:an overview of recent developments [J].Signal Process,2011,91(6):1351-1369.
[7] 王鹏,袁操今,王林,李重光.基于分数傅里叶变换的双彩色图像加密 [J].激光技术,2014,38(4):551-555.
[8] Ozaktas H M,Ankan O,Kutay M A,et al.Digital computation of the fractional Fourier transform [J].IEEE Transactions On Signal Processing,1996,44(9):2141-2150.
[9] 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.
[10] 刘锋,徐会法,陶然,等.分数阶Fourier 域多分量LFM 信号间的分辨研究 [J].中国科学:信息科学,2012,42(2):138-150.
[11] 刘锋,徐会法,陶然.分数阶Fourier变换中量纲归一化因子的选取 [J].系统工程与电子技术,2011,33(2):237-241.
[12] Kutay M A.fracF.m:Fast computation of the fractional fourier transform[EB/OL].
[2015-08-09].http://www.ee.bilkent.edu.tr/~haldun/fracF.m.
[13] Bultheel A.frft.m:Calculation of the fractional Fourier transform [EB/OL].
[2015-08-09].http://nalag.cs.kuleuven.be/ research/software/FRFT/frft.m.
[14] Pellat-Finet P.Fresnel diffraction and the fractional-order Fourier transform [J].Optics Letters,1994,19(18):1388-1390.
[15] Garcia J,Mas D,Dorsch R.Fractional-Fourier transform calculation through the fast-Fourier-transform algorithm [J].Applied Optics,1996,35(35):7013-7018.
[16] Yang Xingpeng,Tan Qiaofeng.Improved fast fractional-Fourier-transform algorithm [J].Journal Optical Society America A,2004,21(9):1677-1681.
[17] Marinho F J,Bernardo L M.Numerical calculation of fractional Fourier transforms with a single fast-Fourier-transform algorithm [J].Journal Optical Society America A,1998,15(8):2111-2116.
[18] 陈文静,苏显渝.基于角谱分析的分数傅里叶变换数值模拟算法 [J].光电子:激光,2002,13(4):401-404.
[19] 冯迪,严瑛白,金国藩,等.求解分数傅里叶变换衍射积分的一种快速算法 [J].光子学报,2003,32(7):885-888.
[20] 郭海燕,于仕财,关键,等.基于FRFT模最大值的LFM信号参数估计方法 [J].雷达科学与技术,2010,8(5):438-441.
[21] 林睿,刘启能,张翠玲.一种新的gyrator变换的快速算法 [J].激光技术,2012,36(1):50-53.
[22] Bitran Y,Mendlovic D,Dorsch R,et al.Fractional Fourier transform:simulations and experimental results [J].Applied Optics,1995,34(8):1329-1332.
[23] Sahin A,Ozaktas H M,Mendlovic D.Optical implementation of the two-dimensional fractional Fourier transform with different orders in the two dimensions [J].Optics Communications,1995,120(3):134-138.