Title :
Time-frequency analysis of frames
Author :
Hlawatsch, Fkanz ; Bölcskei, Helmut
Author_Institution :
INTHFT, Tech. Univ. Wien, Austria
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 :
Wigner distribution; parameter estimation; signal representation; time-frequency analysis; wavelet transforms; Gabor expansions; Weyl symbol; Wigner distribution; frame parameters; frames theory; time-frequency analysis; time-frequency expansions; time-frequency frame representations; time-frequency location; time-scale signal expansions; wavelet transforms; Eigenvalues and eigenfunctions; Hilbert space; Information analysis; Kernel; Signal analysis; Signal mapping; Time frequency analysis; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-2127-8
DOI :
10.1109/TFSA.1994.467365
