Improved fast fractional-Fourier-transform algorithm.
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.
Yang
Xingpeng
X
State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instruments, TsingHua University, 100084 Beijing, China. yangxp98@mails.tsinghua.edu.cn
Tan
Qiaofeng
Q
Wei
Xiaofeng
X
Xiang
Yong
Y
Yan
Yingbai
Y
Jin
Guofan
G