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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Dimitrov, N.B. Jordanov, V.T. |
| Copyright Year | 2011 |
| Description | Author affiliation: Operations Research Department, Naval Postgraduate School, Monterey, CA 93943 USA (Dimitrov, N.B.) || Yantel, LLC, Santa Fe, NM 87508 USA (Jordanov, V.T.) |
| Abstract | 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 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. |
| Starting Page | 1 |
| Ending Page | 8 |
| File Size | 3146200 |
| Page Count | 8 |
| File Format | |
| ISBN | 9781457709258 |
| e-ISBN | 9781457709272 |
| DOI | 10.1109/ANIMMA.2011.6172859 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-06-06 |
| Publisher Place | Belgium |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Spectroscopy Pulse measurements Instruments Noise Energy resolution Detectors Probability density function |
| Content Type | Text |
| Resource Type | Article |
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