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:
影响因子:
--
通讯作者:
Xingpeng Yang;Qiaofeng Tan;Xiaofeng Wei;Yong Xiang;Yingbai Yan;Guofan Jin
中科院分区:
文献类型:
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作者:
Xingpeng Yang;Qiaofeng Tan;Xiaofeng Wei;Yong Xiang;Yingbai Yan;Guofan Jin
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.