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
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;
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
DOI :
10.1109/TFSA.1998.721547
