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- W3204100703 abstract "We present a novel framework for the reconstruction of 1D composite signals assumed to be a mixture of two additive components, one sparse and the other smooth, given a finite number of linear measurements. We formulate the reconstruction problem as a continuous-domain regularized inverse problem with multiple penalties. We prove that these penalties induce reconstructed signals that indeed take the desired form of the sum of a sparse and a smooth component. We then discretize this problem using Riesz bases, which yields a discrete problem that can be solved by standard algorithms. Our discretization is exact in the sense that we are solving the continuous-domain problem over the search space specified by our bases without any discretization error. We propose a complete algorithmic pipeline and demonstrate its feasibility on simulated data." @default.
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- W3204100703 date "2021-01-01" @default.
- W3204100703 modified "2023-10-03" @default.
- W3204100703 title "Continuous-Domain Formulation of Inverse Problems for Composite Sparse-Plus-Smooth Signals" @default.
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- W3204100703 doi "https://doi.org/10.1109/ojsp.2021.3116482" @default.
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