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Deconvolution of Point Sources: A Sampling Theorem and Robustness Guarantees

Deconvolution of Point Sources: A Sampling Theorem and Robustness Guarantees

Abstract In this work we analyze a convex‐programming method for estimating superpositions of point sources or spikes from nonuniform samples of their convolution with a known kernel. We consider a one‐dimensional model where the kernel is either a Gaussian function or a Ricker wavelet, inspired by applications in geophysics and …