Geometry of affine distributions

Author

Flandrin, Patrick ; Gonçalvès, Paulo

Author_Institution

Lab. de Phys., Ecole Normale Superieure de Lyon, France

fYear

1994

fDate

25-28 Oct 1994

Firstpage

80

Lastpage

83

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/TFSA.1994.467359

Filename

467359