On Some Explicit Deconvolution formulas

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1983Publisher:Optica Publishing GroupJournal:Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints

Authors: C A Berenstein; B A Taylor; A Yger;

doi: 10.1364/srs.1983.wa4 , 10.1088/0150-536x/14/2/003

On Some Explicit Deconvolution formulas

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Abstract

Given several measuring devices defined by convolution with distributions μ1,…,μm of compact support in ℝn one would like to construct explicitly deconvolutors, i.e. distributions v1,…,vm, also of compact support, such that This would allow us to reconstruct exactly an arbitrary signal ϕ ∈ C∞(ℝn) which was measured as g1 = μ1 * ϕ,…,gm = μm * ϕ by.

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