Impact of colored noise in pulse amplitude measurements: A time-domain approach using differintegrals

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• 作者：Alberto Regadí ; o^a ; ^b ; ^{regadioca@inta.es" class="auth_mail" title="E-mail the corresponding author} ; Jesú ; s Tabero^a ; ^{taberogj@inta.es" class="auth_mail" title="E-mail the corresponding author} ; Sebastiá ; n Sá ; nchez-Prieto^b ; ^{sebastian.sanchez@uah.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Spectroscopy ; Noise ; Shaping ; Digital signal processing ; Resolution
• 刊名：Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
• 出版年：2016
• 出版时间：1 March 2016
• 年：2016
• 卷：811
• 期：Complete
• 页码：25-29
• 全文大小：663 K

文摘

In particle detectors, pulse shaping is the process of changing the waveform of the pulses in order to maximize the signal to noise ratio. This shaping usually only takes into account white, pink (flicker) and red (Brownian) noise. In this paper, a generalization of noise indexes as a function to an arbitrary i0007" class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0168900215015806&_mathId=si0007.gif&_user=111111111&_pii=S0168900215015806&_rdoc=1&_issn=01689002&md5=99e4d1309a4bf855e3d6ab1bf3f347b3" title="Click to view the MathML source">f^βclass="mathContainer hidden">class="mathCode"> noise type, where β is a real number, is presented. This generalization has been created using the differintegral operator, defined in Fractional Calculus. These formulas are used to calculate the Equivalent Noise Change (ENC) in detector particle systems.