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Evolution equations on Gabor transforms and their applications
2013
Applied and Computational Harmonic Analysis
We introduce a systematic approach to the design, implementation and analysis of left-invariant evolution schemes acting on Gabor transform, primarily for applications in signal and image analysis. Within this approach we relate operators on signals to operators on Gabor transforms. In order to obtain a translation and modulation invariant operator on the space of signals, the corresponding operator on the reproducing kernel space of Gabor transforms must be left invariant, i.e. it should
doi:10.1016/j.acha.2012.11.007
fatcat:zk53ohxcd5hn7pwf6f5a64xhge