Improved fast fractional-Fourier-transform algorithm.

Improved fast fractional-Fourier-transform algorithm.
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DOI:
10.1364/josaa.21.001677
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发表时间:
2004-09
期刊:
Journal of the Optical Society of America. A, Optics, image science, and vision
影响因子:
--
通讯作者:
Xingpeng Yang;Qiaofeng Tan;Xiaofeng Wei;Yong Xiang;Yingbai Yan;Guofan Jin
Xingpeng Yang;Qiaofeng Tan;Xiaofeng Wei;Yong Xiang;Yingbai Yan;Guofan Jin
中科院分区:
其他
文献类型:
--
作者:
Xingpeng Yang;Qiaofeng Tan;Xiaofeng Wei;Yong Xiang;Yingbai Yan;Guofan Jin

文献摘要

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通过对分数阶主区间的优化,提出了一种改进的分数阶傅里叶变换数值计算快速算法。利用该改进算法,计算了矩形函数和高斯函数的分数阶傅里叶变换。将其计算误差与先前已发表算法的计算误差进行了比较,结果表明改进算法的计算精度要高得多。
Through the optimization of the main interval of the fractional order, an improved fast algorithm for numerical calculation of the fractional Fourier transforms is proposed. With this improved algorithm, the fractional Fourier transforms of a rectangular function and a Gaussian function are calculated. Its calculation errors are compared with those calculated with the previously published algorithm, and the results show that the calculation accuracy of the improved algorithm is much higher.