摘要
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 FMm let based atomic signal decomposition,the residual signals decay exponentially.
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.
基金
This work was supported in part by the National Natural Science Foundation of China (Grant No.60172026) by the Basic Research Foundation of Tsinghua University (Grant No. JC2001028) and by the Scientific Innovation Foundation of Ph. D. candidates
