Title :
Frames in rotated time-frequency planes
Author :
Bultan, Aykut ; Akansu, Ali N.
Author_Institution :
Center for Multimedia Res., New Jersey Inst. of Technol., Newark, NJ, USA
Abstract :
Weyl-Heisenberg frames are complete signal representations corresponding to rectangular tiling of the time-frequency plane. Extensions of these frames are obtained in the rotated time-frequency planes by using the fractional Fourier transformation. It is shown that rotation does not affect the frame bounds. For some specific angles, lattices in rotated coordinates will map to the lattices in the Cartesian coordinates. The rotated Weyl-Heisenberg frames obtained are more suitable for chirp-like signal analysis and synthesis
Keywords :
Fourier transforms; signal representation; signal synthesis; time-frequency analysis; Cartesian coordinates; angles; chirp-like signal analysis; chirp-like signal synthesis; fractional Fourier transformation; frame bounds; lattices; rectangular tiling; rotated Weyl-Heisenberg frames; rotated coordinates; rotated time-frequency planes; signal representations; Bandwidth; Chirp; Electronic mail; Fourier transforms; Lattices; Sampling methods; Signal analysis; Signal representations; Signal synthesis; Time frequency analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5041-3
DOI :
10.1109/ICASSP.1999.756231
