Title :
The discrete rotational Fourier transform
Author :
Santhanam, Balasubramaniam ; McClellan, J.H.
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
4/1/1996 12:00:00 AM
Abstract :
We define a discrete version of the angular Fourier transform and present the properties of the transform that show it to be a rotation in time-frequency space, this new transform is a generalization of the DFT. Efficient algorithms for its computation can then be based on the FFT and the eigenstructure of the DFT
Keywords :
discrete Fourier transforms; discrete cosine transforms; eigenvalues and eigenfunctions; signal processing; time-frequency analysis; DFT; FFT; algorithms; angular Fourier transform; discrete rotational Fourier transform; eigenstructure; generalization; time-frequency space; Discrete Fourier transforms; Discrete transforms; Eigenvalues and eigenfunctions; Fourier transforms; Optical filters; Optical reflection; Signal processing algorithms; Signal representations; Space technology; Time frequency analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
