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

Volume

3

fYear

1999

fDate

15-19 Mar 1999

Firstpage

1353

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on

Conference_Location

Phoenix, AZ

ISSN

1520-6149

Print_ISBN

0-7803-5041-3

Type

conf

DOI

10.1109/ICASSP.1999.756231

Filename

756231