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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985882%3A_____%2F17%3A00484841" target="_blank" >RIV/67985882:_____/17:00484841 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21230/17:00318412

Result on the web

<a href="http://dx.doi.org/10.1371/journal.pone.0188622" target="_blank" >http://dx.doi.org/10.1371/journal.pone.0188622</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1371/journal.pone.0188622" target="_blank" >10.1371/journal.pone.0188622</a>

Result language

angličtina

Original language name

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

Original language description

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

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20201 - Electrical and electronic engineering

Project

<a href="/en/project/GA13-29294S" target="_blank" >GA13-29294S: Photonic biosignals: measurement and characterization</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

PLoS ONE

ISSN

1932-6203

e-ISSN

—

Volume of the periodical

12

Issue of the periodical within the volume

12

Country of publishing house

US - UNITED STATES

Number of pages

17

Pages from-to

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UT code for WoS article

000417337800031

EID of the result in the Scopus database

2-s2.0-85037533237