Synchronous deautoconvolution algorithm for discrete-time positive signals via \(\mathcal{I}\)-divergence approximation

DOI10.1016/j.cam.2024.116025zbMATH Open1544.9332MaRDI QIDQ6581990

Lorenzo Finesso, Peter Spreij

Publication date: 1 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse problempositive systemalternating minimizationautoconvolution\(\mathcal{I}\)-divergence

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Positive control/observation systems (93C28)

Cites Work

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• The inversion of autoconvolution integrals
• Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
• I-divergence geometry of probability distributions and minimization problems
• Approximation of nonnegative systems by moving averages of fixed order
• Nonnegative matrix factorization and I-divergence alternating minimization
• Approximation of Nonnegative Systems by Finite Impulse Response Convolutions
• Deblurring subject to nonnegativity constraints
• An iterative deautoconvolution algorithm for nonnegative functions
• On the Determination of a Density Function by Its Autoconvolution Coefficient
• Information Theory and Statistics: A Tutorial
• The Inverse Problem of Positive Autoconvolution

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