Title :
A method for the discrete fractional Fourier transform computation
Author :
Yeh, Min-Hung ; Pei, Soo-Chang
Author_Institution :
Dept. of Electron. Eng., Nat. I-Lan Inst. of Technol., Taiwan
fDate :
3/1/2003 12:00:00 AM
Abstract :
A new method for the discrete fractional Fourier transform (DFRFT) computation is given in this paper. With the help of this method, the DFRFT of any angle can be computed by a weighted summation of the DFRFTs with the special angles.
Keywords :
discrete Fourier transforms; eigenvalues and eigenfunctions; signal detection; signal representation; time-frequency analysis; DFRFT; chirp signal detection; discrete fractional Fourier transform computation; eigendecomposition method; rotation angle; signal rotation; time-frequency plane; weighted summation; Computational efficiency; Councils; Discrete Fourier transforms; Eigenvalues and eigenfunctions; Fourier transforms; Karhunen-Loeve transforms; Kernel; Signal processing;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2002.808113