{"title":"Simple method for background subtraction in gamma-ray spectra","authors":"S.A. Gerasimov","doi":"10.1016/0883-2889(92)90186-I","DOIUrl":null,"url":null,"abstract":"<div><p>The peak-free spectrum <em>I</em><sub>b</sub>(<em>n</em>) can be obtained by transform <span><math><mtext>I</mtext><msub><mi></mi><mn><mtext>b</mtext></mn></msub><mtext>(n) = </mtext><mtext>S</mtext><mtext>̂</mtext><msub><mi></mi><mn><mtext>k</mtext></mn></msub><mtext>(I(n)-q¦</mtext><mtext>d</mtext><msup><mi></mi><mn>m</mn></msup><mtext>I(n)/</mtext><mtext>d</mtext><mtext>n</mtext><msup><mi></mi><mn>m</mn></msup><mtext>¦)</mtext></math></span> of initial spectrum <em>I</em>(<em>n</em>), where <span><math><mtext>S</mtext><mtext>̂</mtext><msub><mi></mi><mn><mtext>k</mtext></mn></msub></math></span> is the operator of linear smoothing and <em>q</em> ≈ 0.5 σ if <em>m</em> = 1 and <em>q</em> ≈ 0.2 σ<sup>2</sup> if <em>m</em> = 2, σ is the full width at half maximum for peaks.</p></div>","PeriodicalId":14288,"journal":{"name":"International Journal of Radiation Applications and Instrumentation. Part A. Applied Radiation and Isotopes","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1992-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0883-2889(92)90186-I","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Radiation Applications and Instrumentation. Part A. Applied Radiation and Isotopes","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/088328899290186I","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The peak-free spectrum Ib(n) can be obtained by transform of initial spectrum I(n), where is the operator of linear smoothing and q ≈ 0.5 σ if m = 1 and q ≈ 0.2 σ2 if m = 2, σ is the full width at half maximum for peaks.