Title :
The DRFT-a rotation in time-frequency space
Author :
Santhanam, Balasubramaniam ; McClellan, J.H.
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
The continuous-time angular Fourier transformation (AFT) represents a rotation in continuous time-frequency space and also serves as an orthonormal signal representation for chirp signals. We present a discrete version of the AFT (DRFT) that represents a rotation in discrete time-frequency space and some properties of the transform that support its interpretation as a rotation. The transform is a generalization of the DFT. The eigenvalue structure of the DFT is then exploited to develop an efficient algorithm for the computation of this transform
Keywords :
discrete Fourier transforms; eigenvalues and eigenfunctions; signal representation; spectral analysis; time-frequency analysis; DFT; algorithm; chirp signals; continuous time-frequency space; continuous-time angular Fourier transformation; discrete rotational Fourier transform; eigenvalue structure; orthonormal signal representation; rotation; Chirp; Discrete Fourier transforms; Discrete transforms; Eigenvalues and eigenfunctions; Equations; Fourier transforms; Signal representations; Space technology; Taylor series; Time frequency analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.480325
