Time-frequency analysis of frames


Franz Hlawatsch and Helmut Bölcskei


Proc. of IEEE International Symposium on Time-Frequency and Time-Scale Analysis (TFTS), Philadelphia (PA), pp. 52-55, Oct. 1994.

DOI: 10.1109/TFSA.1994.467365

[BibTeX, LaTeX, and HTML Reference]


The theory of frames is fundamental to time-frequency (TF) or time-scale signal expansions like Gabor expansions and wavelet transforms. We propose a TF analysis of frames via two "TF frame representations'' called the Weyl symbol and Wigner distribution of a frame. The TF analysis shows how a frame's properties depend on the signal's TF location and on certain frame parameters.


Frame theory, time-frequency representations, Wigner distribution, Weyl symbol

Download this document:


Copyright Notice: © 1994 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.