北京理工大学信息科学技术学院电子工程系,北京,100081
纸质出版:2007
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赵兴浩, 陶 然, 邓 兵, 等. 分数阶傅里叶变换的快速计算新方法[J]. 电子学报, 2007,35(6):1089-1093.
ZHAO Xing-hao, TAO Ran, DENG Bing, et al. New Methods for Fast Computation of Fractional Fourier Transform[J]. Acta Electronica Sinica, 2007, 35(6): 1089-1093.
本文提出了一种分数阶傅里叶变换(FRFT)高分辨(Zoom-FRFT)算法
通过设置谱区间和输出点数
M
可实现任意局部谱的高分辨计算.随后
针对
M
很小时Zoom-FRFT运算效率低的问题
提出了基于Horner的单点快速计算(SP-FRFT)方法
并针对零点计算做出进一步简化.利用SP-FRFT可提高少量点输出时的计算效率
也可用于非均匀采样点计算.仿真结果验证了算法的有效性.
We present a FRFT high-resolution computation (zoom-FRFT) method
which can zoom-in on any interested portion of fractional spectrum by setting spectrum range and output number
M
.In addition
for solving lower efficiency of zoom-FRFT for small
M
a FRFT single-point fast computation (SP-FRFT) method based on Horner rule is presented and its further reduction is made for zero-point computation.It can be used to increase computational efficiency for small M
and compute un-uniform output samples.Finally
two methods are verified by the simulations.
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