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