Properties and convergence analysis of FMmlet transform
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The linearity, time shifting, time scaling, and time inversion properties of FMmlet transform are proved, and the frequency shifting property of one of the subspaces of FMmlet transform, namely the chirplet transform is presented. Moreover, it is proved that in the process of FMmlet based atomic signal decomposition, the residual signals decay exponentially.
KeywordsFMmlet transform property chirplet transform matching pursuit parametric time-frequency signal representation
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