Compressed data separation via dual frames based split-analysis with Weibull matrices

摘要

In this paper,we consider data separation problem,where the original signal is composed of two distinct subcomponents,via dual frames based Split-analysis approach.We show that the two distinct subcomponents,which are sparse in two diferent general frames respectively,can be exactly recovered with high probability,when the measurement matrix is a Weibull random matrix(not Gaussian)and the two frames satisfy a mutual coherence property.Our result may be signifcant for analysing Split-analysis model for data separation.