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On the TT-Transform and Its Diagonal Elements

AuthorsSimon, Carine ; Schimmel, Martin ; Dañobeitia, Juan José
KeywordsLocal spectra
Time-frequency localization
Time–time analysis
Time-varying filters
Issue DateNov-2008
PublisherInstitute of Electrical and Electronics Engineers
CitationIEEE TRANSACTIONS ON SIGNAL PROCESSING 56(11): 5709-5713 (2008)
AbstractThe TT-transform stands for time–time transform and has been derived as an inverse Fourier transform of the time-frequency -transform. Up to date, only the diagonal of the TT-transform has been used for signal characterization. We show here an alternative and simplified derivation of the TT-transform which enables a better understanding of this transform. In particular, we demonstrate that the diagonal elements of the TT-transform represent a simple frequency filtered version of the original signal and, thus, that little additional information is gained through the TT-transform
Publisher version (URL)http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=4652320&arnumber=4602544&count=41&index=33
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