Title :
Time-frequency localization operators
Author :
Ramanathan, Jayakumar ; Topiwala, Pankaj
Author_Institution :
Dept. of Math., East Michigan Univ., Ypsilanti, MI, USA
Abstract :
A technique for producing signals whose energy is concentrated in a given region of the time-frequency plane is examined. The degree to which a given signal is concentrated in a region is measured by integrating its time-frequency distribution over the region. This method has been used for time-varying filtering. Localization operators based on the Wigner distribution and spectrogram are studied. Estimates for the eigenvalue decay and the smoothness and decay of the eigenfunctions are presented
Keywords :
eigenvalues and eigenfunctions; filtering and prediction theory; signal processing; time-frequency analysis; Wigner distribution; eigenfunctions; eigenvalue decay; localization operators; smoothness; spectrogram; time-frequency plane; time-varying filtering; Eigenvalues and eigenfunctions; Filtering; Mathematics; Spectrogram; Time frequency analysis; Uncertainty;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274213
