{"title":"On Some Explicit Deconvolution formulas","authors":"C. Berenstein, B. A. Taylor, A. Yger","doi":"10.1088/0150-536X/14/2/003","DOIUrl":null,"url":null,"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.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1983-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0150-536X/14/2/003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 19
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.