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Compressed sensing (CS) with prior information concerns the problem of reconstructing a sparse signal with the aid of a similar signal which is known beforehand. We consider a new approach to integrate the prior information into CS via maximizing the correlation between the prior knowledge and the desired signal. We then present a geometric analysis for the proposed method under sub-Gaussian measurements...
This paper proposes a fast covariance matrix sparse representation method for direction of arrival estimation based on dynamic dictionary as a solution to the off-grid effect. The statistic information of covariance matrix under the uncorrelated sources condition is utilized and a simple sparse representation model is given. Then the cross iteration and series expansion approximation are introduced...
We get the dynamical evolution of quantum correlation for the general Werner state immersed in a common Ohmic bath. The optimal control can be derived using Pontryagin maximum principle. It is found that the control field obtained is helpful to suppress the environmental noises, in the sense of slowing down the decay of discord and prolonging its available existing time. Our numerical work demonstrates...
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