Title :
Geometry of affine distributions
Author :
Flandrin, Patrick ; Gonçalvès, Paulo
Author_Institution :
Lab. de Phys., Ecole Normale Superieure de Lyon, France
Abstract :
Bilinear affine distributions are considered from the point of view of their geometry in the time-frequency plane. General construction rules are established for interference terms, with further interpretations in terms of localization properties and generalized means. In the case of frequency modulated signals, it is shown how the pointwise application of these rules can be refined by the study of a critical manifold and the use of stationary phase-type approximations
Keywords :
geometry; interference (signal); signal representation; statistical analysis; time-frequency analysis; bilinear affine distributions; critical manifold; frequency modulated signals; general construction rules; generalized means; geometry; interference terms; localization properties; pointwise application; stationary phase-type approximations; time-frequency plane; Delay; Finite difference methods; Frequency modulation; Geometry; Interference; Phase modulation; Time frequency analysis;
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.1994.467359
