Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves

Nowadays, the search for a distribution capable of modeling the probability density function (PDF) of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-G...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Optics express 2012-06, Vol.20 (12), p.13055-13064
Hauptverfasser: Barrios, Ricardo, Dios, Federico
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 13064
container_issue 12
container_start_page 13055
container_title Optics express
container_volume 20
creator Barrios, Ricardo
Dios, Federico
description Nowadays, the search for a distribution capable of modeling the probability density function (PDF) of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-Gamma distributions is proposed to model the PDF of the received optical power in free-space optical communications, namely, the Weibull and the exponentiated Weibull (EW) distribution. Particularly, it is shown how the proposed EW distribution offers an excellent fit to simulation and experimental data under all aperture averaging conditions, under weak and moderate turbulence conditions, as well as for point-like apertures. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.
doi_str_mv 10.1364/OE.20.013055
format Article
fullrecord <record><control><sourceid>proquest_csuc_</sourceid><recordid>TN_cdi_csuc_recercat_oai_recercat_cat_2072_205442</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1021450625</sourcerecordid><originalsourceid>FETCH-LOGICAL-c344t-16d43dc5cef7d808a4f81f601d8c64a7b036c2c8fc6fbf735b746dc4998113863</originalsourceid><addsrcrecordid>eNpNUbtOAzEQtBCIhEBHjVxSkODX2XclikJAipQGhERz8tnryOhe2HdA_p6LEh7F7s5qZ6bYQeiSkhnlUtyuFzNGZoRykiRHaExJJqaCpOr4Hx6hsxjfCKFCZeoUjRhTVHDOxuh18dU2NdSd1x1Y_AK-6MsSWx-7MMDONzV2uvLlFve1hYB1C6HrA2D9AUFvfL3Brgl4qfsYva5xAbrCn8MxnqMTp8sIF4c5Qc_3i6f5w3S1Xj7O71ZTw4XoplRawa1JDDhlU5Jq4VLqJKE2NVJoVRAuDTOpM9IVTvGkUEJaI7IspZSnkk8Q3fua2Js8gIFgdJc32v8tu2JEsaElQrBBc73XtKF57yF2eeWjgbLUNTR9zClhVCREsmSg3hzsQxNjAJe3wVc6bAdSvksgXy8G23yfwEC_Ojj3RQX2l_zzcv4Nv_eBUw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1021450625</pqid></control><display><type>article</type><title>Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves</title><source>DOAJ Directory of Open Access Journals</source><source>Recercat</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Alma/SFX Local Collection</source><creator>Barrios, Ricardo ; Dios, Federico</creator><creatorcontrib>Barrios, Ricardo ; Dios, Federico</creatorcontrib><description>Nowadays, the search for a distribution capable of modeling the probability density function (PDF) of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-Gamma distributions is proposed to model the PDF of the received optical power in free-space optical communications, namely, the Weibull and the exponentiated Weibull (EW) distribution. Particularly, it is shown how the proposed EW distribution offers an excellent fit to simulation and experimental data under all aperture averaging conditions, under weak and moderate turbulence conditions, as well as for point-like apertures. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.</description><identifier>ISSN: 1094-4087</identifier><identifier>EISSN: 1094-4087</identifier><identifier>DOI: 10.1364/OE.20.013055</identifier><identifier>PMID: 22714332</identifier><language>eng</language><publisher>United States</publisher><subject>Comunicacions mòbils ; Comunicacions mòbils, Sistemes de ; Distribució de Gauss ; Enginyeria de la telecomunicació ; Gaussian beams ; IRRADIANCE FLUCTUATIONS ; KOLMOGOROV PHASE SCREEN ; PROBABILITY DENSITY ; Radiocomunicació i exploració electromagnètica ; SIMULATION ; TO-STRONG TURBULENCE ; Weibull distribution ; Àrees temàtiques de la UPC</subject><ispartof>Optics express, 2012-06, Vol.20 (12), p.13055-13064</ispartof><rights>Attribution-NonCommercial-NoDerivs 3.0 Spain info:eu-repo/semantics/openAccess &lt;a href="http://creativecommons.org/licenses/by-nc-nd/3.0/es/"&gt;http://creativecommons.org/licenses/by-nc-nd/3.0/es/&lt;/a&gt;</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c344t-16d43dc5cef7d808a4f81f601d8c64a7b036c2c8fc6fbf735b746dc4998113863</citedby><cites>FETCH-LOGICAL-c344t-16d43dc5cef7d808a4f81f601d8c64a7b036c2c8fc6fbf735b746dc4998113863</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,864,885,26974,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/22714332$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Barrios, Ricardo</creatorcontrib><creatorcontrib>Dios, Federico</creatorcontrib><title>Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves</title><title>Optics express</title><addtitle>Opt Express</addtitle><description>Nowadays, the search for a distribution capable of modeling the probability density function (PDF) of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-Gamma distributions is proposed to model the PDF of the received optical power in free-space optical communications, namely, the Weibull and the exponentiated Weibull (EW) distribution. Particularly, it is shown how the proposed EW distribution offers an excellent fit to simulation and experimental data under all aperture averaging conditions, under weak and moderate turbulence conditions, as well as for point-like apertures. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.</description><subject>Comunicacions mòbils</subject><subject>Comunicacions mòbils, Sistemes de</subject><subject>Distribució de Gauss</subject><subject>Enginyeria de la telecomunicació</subject><subject>Gaussian beams</subject><subject>IRRADIANCE FLUCTUATIONS</subject><subject>KOLMOGOROV PHASE SCREEN</subject><subject>PROBABILITY DENSITY</subject><subject>Radiocomunicació i exploració electromagnètica</subject><subject>SIMULATION</subject><subject>TO-STRONG TURBULENCE</subject><subject>Weibull distribution</subject><subject>Àrees temàtiques de la UPC</subject><issn>1094-4087</issn><issn>1094-4087</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>XX2</sourceid><recordid>eNpNUbtOAzEQtBCIhEBHjVxSkODX2XclikJAipQGhERz8tnryOhe2HdA_p6LEh7F7s5qZ6bYQeiSkhnlUtyuFzNGZoRykiRHaExJJqaCpOr4Hx6hsxjfCKFCZeoUjRhTVHDOxuh18dU2NdSd1x1Y_AK-6MsSWx-7MMDONzV2uvLlFve1hYB1C6HrA2D9AUFvfL3Brgl4qfsYva5xAbrCn8MxnqMTp8sIF4c5Qc_3i6f5w3S1Xj7O71ZTw4XoplRawa1JDDhlU5Jq4VLqJKE2NVJoVRAuDTOpM9IVTvGkUEJaI7IspZSnkk8Q3fua2Js8gIFgdJc32v8tu2JEsaElQrBBc73XtKF57yF2eeWjgbLUNTR9zClhVCREsmSg3hzsQxNjAJe3wVc6bAdSvksgXy8G23yfwEC_Ojj3RQX2l_zzcv4Nv_eBUw</recordid><startdate>20120604</startdate><enddate>20120604</enddate><creator>Barrios, Ricardo</creator><creator>Dios, Federico</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>XX2</scope></search><sort><creationdate>20120604</creationdate><title>Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves</title><author>Barrios, Ricardo ; Dios, Federico</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c344t-16d43dc5cef7d808a4f81f601d8c64a7b036c2c8fc6fbf735b746dc4998113863</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Comunicacions mòbils</topic><topic>Comunicacions mòbils, Sistemes de</topic><topic>Distribució de Gauss</topic><topic>Enginyeria de la telecomunicació</topic><topic>Gaussian beams</topic><topic>IRRADIANCE FLUCTUATIONS</topic><topic>KOLMOGOROV PHASE SCREEN</topic><topic>PROBABILITY DENSITY</topic><topic>Radiocomunicació i exploració electromagnètica</topic><topic>SIMULATION</topic><topic>TO-STRONG TURBULENCE</topic><topic>Weibull distribution</topic><topic>Àrees temàtiques de la UPC</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Barrios, Ricardo</creatorcontrib><creatorcontrib>Dios, Federico</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Recercat</collection><jtitle>Optics express</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Barrios, Ricardo</au><au>Dios, Federico</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves</atitle><jtitle>Optics express</jtitle><addtitle>Opt Express</addtitle><date>2012-06-04</date><risdate>2012</risdate><volume>20</volume><issue>12</issue><spage>13055</spage><epage>13064</epage><pages>13055-13064</pages><issn>1094-4087</issn><eissn>1094-4087</eissn><abstract>Nowadays, the search for a distribution capable of modeling the probability density function (PDF) of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-Gamma distributions is proposed to model the PDF of the received optical power in free-space optical communications, namely, the Weibull and the exponentiated Weibull (EW) distribution. Particularly, it is shown how the proposed EW distribution offers an excellent fit to simulation and experimental data under all aperture averaging conditions, under weak and moderate turbulence conditions, as well as for point-like apertures. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.</abstract><cop>United States</cop><pmid>22714332</pmid><doi>10.1364/OE.20.013055</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1094-4087
ispartof Optics express, 2012-06, Vol.20 (12), p.13055-13064
issn 1094-4087
1094-4087
language eng
recordid cdi_csuc_recercat_oai_recercat_cat_2072_205442
source DOAJ Directory of Open Access Journals; Recercat; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection
subjects Comunicacions mòbils
Comunicacions mòbils, Sistemes de
Distribució de Gauss
Enginyeria de la telecomunicació
Gaussian beams
IRRADIANCE FLUCTUATIONS
KOLMOGOROV PHASE SCREEN
PROBABILITY DENSITY
Radiocomunicació i exploració electromagnètica
SIMULATION
TO-STRONG TURBULENCE
Weibull distribution
Àrees temàtiques de la UPC
title Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T17%3A14%3A04IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_csuc_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Exponentiated%20Weibull%20distribution%20family%20under%20aperture%20averaging%20for%20Gaussian%20beam%20waves&rft.jtitle=Optics%20express&rft.au=Barrios,%20Ricardo&rft.date=2012-06-04&rft.volume=20&rft.issue=12&rft.spage=13055&rft.epage=13064&rft.pages=13055-13064&rft.issn=1094-4087&rft.eissn=1094-4087&rft_id=info:doi/10.1364/OE.20.013055&rft_dat=%3Cproquest_csuc_%3E1021450625%3C/proquest_csuc_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1021450625&rft_id=info:pmid/22714332&rfr_iscdi=true