Time-Frequency Analysis, from Geometry to Signal Processing
Torrésani, Bruno
HAL, hal-01741392 / Harvested from HAL
Text on HAL
We describe some aspects of time-frequency analysis, involving mainly two arguments: time-frequency localization, and symmetry constraints. We show how such arguments appear in the classical time-frequency transforms (Wigner transforms, wavelet and Gabor transforms). Then we discuss deformed versions of one of these transforms, namely the reassigned Gabor transform, and show that it may be a promizing alternative to Wigner function.
Publié le : 1999-10-31
Classification:  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA],  [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing 
@article{hal-01741392,
     author = {Torr\'esani, Bruno},
     title = {Time-Frequency Analysis, from Geometry to Signal Processing},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01741392}
}

Torrésani, Bruno. Time-Frequency Analysis, from Geometry to Signal Processing. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01741392/