8
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Poisson pre-processing of nonstationary photonic signals: Signals with equality between mean and variance

      research-article
      1 , 2 , 2 , 1 , *
      PLoS ONE
      Public Library of Science

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Photonic signals are broadly exploited in communication and sensing and they typically exhibit Poisson-like statistics. In a common scenario where the intensity of the photonic signals is low and one needs to remove a nonstationary trend of the signals for any further analysis, one faces an obstacle: due to the dependence between the mean and variance typical for a Poisson-like process, information about the trend remains in the variance even after the trend has been subtracted, possibly yielding artifactual results in further analyses. Commonly available detrending or normalizing methods cannot cope with this issue. To alleviate this issue we developed a suitable pre-processing method for the signals that originate from a Poisson-like process. In this paper, a Poisson pre-processing method for nonstationary time series with Poisson distribution is developed and tested on computer-generated model data and experimental data of chemiluminescence from human neutrophils and mung seeds. The presented method transforms a nonstationary Poisson signal into a stationary signal with a Poisson distribution while preserving the type of photocount distribution and phase-space structure of the signal. The importance of the suggested pre-processing method is shown in Fano factor and Hurst exponent analysis of both computer-generated model signals and experimental photonic signals. It is demonstrated that our pre-processing method is superior to standard detrending-based methods whenever further signal analysis is sensitive to variance of the signal.

          Related collections

          Most cited references45

          • Record: found
          • Abstract: not found
          • Article: not found

          Electrogenerated chemiluminescence and its biorelated applications.

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Long-Term Storage Capacity of Reservoirs

            H E Hurst (1951)
              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA

                Bookmark

                Author and article information

                Contributors
                Role: Data curationRole: Formal analysisRole: InvestigationRole: MethodologyRole: SoftwareRole: VisualizationRole: Writing – original draft
                Role: MethodologyRole: Writing – review & editing
                Role: ConceptualizationRole: Funding acquisitionRole: InvestigationRole: MethodologyRole: Project administrationRole: ResourcesRole: SupervisionRole: Writing – review & editing
                Role: Editor
                Journal
                PLoS One
                PLoS ONE
                plos
                plosone
                PLoS ONE
                Public Library of Science (San Francisco, CA USA )
                1932-6203
                2017
                7 December 2017
                : 12
                : 12
                : e0188622
                Affiliations
                [1 ] Institute of Photonics and Electronics, the Czech Academy of Sciences, Chaberská 57, 182 51, Prague 8, Czechia
                [2 ] Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27, Prague 6, Czechia
                University of Pécs Medical School, HUNGARY
                Author notes

                Competing Interests: The authors have declared that no competing interests exist.

                Author information
                http://orcid.org/0000-0002-8853-9523
                Article
                PONE-D-17-24444
                10.1371/journal.pone.0188622
                5720749
                29216207
                e8ca4066-1b3c-4a44-b7d1-29c91fce8d77
                © 2017 Poplová et al

                This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

                History
                : 28 June 2017
                : 10 November 2017
                Page count
                Figures: 7, Tables: 0, Pages: 17
                Funding
                Funded by: funder-id http://dx.doi.org/10.13039/501100001824, Grantová Agentura České Republiky;
                Award ID: GA13-29294S
                Award Recipient :
                Funded by: funder-id http://dx.doi.org/10.13039/100007655, České Vysoké Učení Technické v Praze;
                Award ID: SGS15/198/OHK3/3T/13
                The authors acknowledge the support from the Czech Science Foundation (grant no. GA13-29294S) to M.C. and a grant from the Czech Technical University in Prague (grant no. SGS15/198/OHK3/3T/13). M.C. and M.P. participate in COST Actions BM1309, CA15211 and project no. SAV-15-22 between Czech and Slovak Academies of Sciences. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
                Categories
                Research Article
                Biology and Life Sciences
                Cell Biology
                Cellular Types
                Animal Cells
                Blood Cells
                White Blood Cells
                Neutrophils
                Biology and Life Sciences
                Cell Biology
                Cellular Types
                Animal Cells
                Immune Cells
                White Blood Cells
                Neutrophils
                Biology and Life Sciences
                Immunology
                Immune Cells
                White Blood Cells
                Neutrophils
                Medicine and Health Sciences
                Immunology
                Immune Cells
                White Blood Cells
                Neutrophils
                Engineering and Technology
                Signal Processing
                Physical Sciences
                Mathematics
                Probability Theory
                Probability Distribution
                Normal Distribution
                Physical Sciences
                Mathematics
                Probability Theory
                Probability Distribution
                Skewness
                Physical Sciences
                Mathematics
                Probability Theory
                Random Variables
                Physical Sciences
                Mathematics
                Probability Theory
                Stochastic Processes
                Physical Sciences
                Physics
                Electromagnetic Radiation
                Luminescence
                Chemiluminescence
                Engineering and Technology
                Signal Processing
                Statistical Signal Processing
                Custom metadata
                All relevant data are within the paper and its Supporting Information files.

                Uncategorized
                Uncategorized

                Comments

                Comment on this article