TY - CONF
T1 - A novel discrete fractional Fourier transform
AU - Tao, Ran
AU - Ping, Xianjun
AU - Shen, Yu
AU - Zhao, Xinghao
PY - 2001
Y1 - 2001
N2 - The definition of the Fractional Fourier Transform (FRFT) is described. Several discrete FRFT methods developed previously are reviewed briefly. A novel discretization method for FRFT is presented in this paper. It has some advantages such as easily understood and implemented compared with the previous DFRFT methods. Especially, it need small computation amount because of only a diagonal matrix should be recomputed when the rotational angle is changed. In addition, it need not consider the match between eigenvalues and eigenvectors. And it doesn't need to orthogonalize the DFT Hermite eigenvectors, either. A few simulation results for some typical signals are provided to verify the correctness of the proposed method.
AB - The definition of the Fractional Fourier Transform (FRFT) is described. Several discrete FRFT methods developed previously are reviewed briefly. A novel discretization method for FRFT is presented in this paper. It has some advantages such as easily understood and implemented compared with the previous DFRFT methods. Especially, it need small computation amount because of only a diagonal matrix should be recomputed when the rotational angle is changed. In addition, it need not consider the match between eigenvalues and eigenvectors. And it doesn't need to orthogonalize the DFT Hermite eigenvectors, either. A few simulation results for some typical signals are provided to verify the correctness of the proposed method.
KW - Discrete fractional Fourier transform
KW - Fractional Fourier transform
KW - Hermite function
KW - Time-frequency analysis
UR - http://www.scopus.com/inward/record.url?scp=0035719721&partnerID=8YFLogxK
M3 - Paper
AN - SCOPUS:0035719721
SP - 1027
EP - 1030
T2 - 2001 CIE International Conference on Radar Proceedings
Y2 - 15 October 2001 through 18 October 2001
ER -