Probability Density Function Transformation Using Seeded Localized Averaging
Dimitrov, Nedialko B.
Jordanov, Valentin T.
MetadataShow full item record
Seeded Localized Averaging (SLA) is a spectrum acquisition method that averages pulse-heights in dynamic windows. SLA sharpens peaks in the acquired spectra. This work investigates the transformation of the original probability density function (PDF) in the process of applying the SLA procedure. We derive an analytical expression for the resulting probability density function after an application of SLA. In addition, we prove the following properties: 1) for symmetric distributions, SLA preserves both the mean and symmetry. 2) for unimodal symmetric distributions, SLA reduces variance, sharpening the distributions peak. Our results are the first to prove these properties, reinforcing past experimental observations. Specifically, our results imply that in the typical case of a spectral peak with Gaussian PDF the full width at half maximum (FWHM) of the transformed peak becomes narrower even with averaging of only two pulse-heights. While the Gaussian shape is no longer preserved, our results include an analytical expression for the resulting distribution. Examples of the transformation of other PDFs are presented.
IEEE Transactions on Nuclear Science, January 2012The article of record as published may be located at http://dx.doi.org/10.1109/TNS.2011.2177861
Showing items related by title, author, creator and subject.
Arikan, Mehmet Okan (Monterey California. Naval Postgraduate School, 2004-12);The thesis studies the Israel Defense Forces' (IDF) transformation in the context of the U.S. military transformation. The thesis argues that the uniqueness of the U.S. military transformation does not prevent other ...
From a Guerrilla Force to a State Military: An Assessment of the Transformation of the Sudan People's Liberation Army (SPLA) from 2006-2010 Gedima, Africano Mande (Monterey, California. Naval Postgraduate School, 2011-12);In Sudan, the Comprehensive Peace Agreement of 2005 left the Sudan People's Liberation Army (SPLA) intact, with responsibility for safeguarding security in the territory designated as South Sudan for a period of 6 years, ...
In Situ Raman Spectroscopy of the Nanodiamond-to- Carbon Onion Transformation During Thermal Annealing of Detonation Nanodiamond Powder Cebik, Jonathan E. (Monterey, California. Naval Postgraduate School, 2012-06);In this study, in situ Raman spectroscopy is utilized to investigate the onset of nanodiamond (ND) graphitization, the conversion of diamond (sp3) to graphitic (sp2) carbon, and the subsequent formation of carbon onions. ...