DocumentCode
1714535
Title
Modulation and warping operators in joint signal analysis
Author
Twaroch, Teresa ; Hlawatsch, Franz
Author_Institution
Inst. fur Anal., Tech. Math. und Versicherungsmath., Wien Univ., Austria
fYear
1998
Firstpage
9
Lastpage
12
Abstract
We define two broad classes of unitary operator families termed modulation and warping operators. Some fundamental relations connecting these operators are shown. Application of the characteristic function method and the covariance method to modulation and warping operators yields joint (a, b), (α, β), and time-frequency signal representations that satisfy marginal and covariance properties
Keywords
covariance analysis; mathematical operators; modulation; signal representation; time-frequency analysis; characteristic function method; covariance method; covariance property; joint signal analysis; marginal property; modulation operator; time-frequency signal representations; unitary operator families; warping operator; Eigenvalues and eigenfunctions; Electrostatic precipitators; Geometry; Hilbert space; Joining processes; Signal analysis; Signal representations; Time frequency analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location
Pittsburgh, PA
Print_ISBN
0-7803-5073-1
Type
conf
DOI
10.1109/TFSA.1998.721547
Filename
721547
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