Time-frequency analysis of frames

Authors

Franz Hlawatsch and Helmut Bölcskei

Reference

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

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Abstract

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.

Keywords

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


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