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  • Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints
  • Technical Digest Series (Optica Publishing Group, 1983),
  • paper WA4
  • https://doi.org/10.1364/SRS.1983.WA4

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.

© 1983 Optical Society of America

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