Double Shadowing the Rician Fading Model
In this letter, we consider a Rician fading envelope which is impacted by dual shadowing processes. We conveniently refer to this as the double shadowed Rician fading model which can appear in two different formats, each underpinned by a different physical signal reception model. The first format as...
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| Veröffentlicht in: | IEEE wireless communications letters 2019-04, Vol.8 (2), p.344-347 |
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| creator | Simmons, Nidhi da Silva, Carlos Rafael Nogueira Cotton, Simon L. Sofotasios, Paschalis C. Yacoub, Michel Daoud |
| description | In this letter, we consider a Rician fading envelope which is impacted by dual shadowing processes. We conveniently refer to this as the double shadowed Rician fading model which can appear in two different formats, each underpinned by a different physical signal reception model. The first format assumes a Rician envelope where the dominant component is fluctuated by a Nakagami-m random variable (RV) which is preceded (or succeeded) by a secondary round of shadowing brought about by an inverse Nakagami-m RV. The second format considers that the dominant component and scattered waves of a Rician envelope are perturbed by two different shadowing processes. In particular, the dominant component experiences variations characterized by the product of a Nakagami-m and an inverse Nakagami-m RV, whereas the scattered waves are subject to fluctuations influenced by an inverse Nakagami-m RV. Using the relationship between the shadowing properties of the two formats, we develop unified closed-form and analytical expressions for their probability density function, cumulative distribution function, moment-generating function and moments. All derived expressions are validated through Monte Carlo simulations and reduction to a number of special cases. |
| doi_str_mv | 10.1109/LWC.2018.2871677 |
| format | Article |
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We conveniently refer to this as the double shadowed Rician fading model which can appear in two different formats, each underpinned by a different physical signal reception model. The first format assumes a Rician envelope where the dominant component is fluctuated by a Nakagami-m random variable (RV) which is preceded (or succeeded) by a secondary round of shadowing brought about by an inverse Nakagami-m RV. The second format considers that the dominant component and scattered waves of a Rician envelope are perturbed by two different shadowing processes. In particular, the dominant component experiences variations characterized by the product of a Nakagami-m and an inverse Nakagami-m RV, whereas the scattered waves are subject to fluctuations influenced by an inverse Nakagami-m RV. Using the relationship between the shadowing properties of the two formats, we develop unified closed-form and analytical expressions for their probability density function, cumulative distribution function, moment-generating function and moments. All derived expressions are validated through Monte Carlo simulations and reduction to a number of special cases.</description><identifier>ISSN: 2162-2337</identifier><identifier>EISSN: 2162-2345</identifier><identifier>DOI: 10.1109/LWC.2018.2871677</identifier><identifier>CODEN: IWCLAF</identifier><language>eng</language><publisher>Piscataway: IEEE</publisher><subject>Composite fading ; Computer simulation ; Distribution functions ; Economic models ; Exact solutions ; Fading ; Fading channels ; Format ; inverse Nakagaim-<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">m distribution ; Inverse problems ; Mathematical analysis ; Method of moments ; Monte Carolo methods ; Probability density functions ; Random variables ; Rician channels ; shadowed Rician model ; Signal reception ; Statistical distributions ; Variations</subject><ispartof>IEEE wireless communications letters, 2019-04, Vol.8 (2), p.344-347</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c333t-d7e258e6bb9e5da48dc8f7dcc5bcd13c6a57e8badfc2cfca1b412d27c7d0fb4f3</citedby><cites>FETCH-LOGICAL-c333t-d7e258e6bb9e5da48dc8f7dcc5bcd13c6a57e8badfc2cfca1b412d27c7d0fb4f3</cites><orcidid>0000-0002-8076-9607 ; 0000-0003-2620-6501 ; 0000-0002-5866-5879 ; 0000-0001-8389-0966</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8470147$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27923,27924,54757</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/8470147$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Simmons, Nidhi</creatorcontrib><creatorcontrib>da Silva, Carlos Rafael Nogueira</creatorcontrib><creatorcontrib>Cotton, Simon L.</creatorcontrib><creatorcontrib>Sofotasios, Paschalis C.</creatorcontrib><creatorcontrib>Yacoub, Michel Daoud</creatorcontrib><title>Double Shadowing the Rician Fading Model</title><title>IEEE wireless communications letters</title><addtitle>LWC</addtitle><description>In this letter, we consider a Rician fading envelope which is impacted by dual shadowing processes. 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Using the relationship between the shadowing properties of the two formats, we develop unified closed-form and analytical expressions for their probability density function, cumulative distribution function, moment-generating function and moments. All derived expressions are validated through Monte Carlo simulations and reduction to a number of special cases.</description><subject>Composite fading</subject><subject>Computer simulation</subject><subject>Distribution functions</subject><subject>Economic models</subject><subject>Exact solutions</subject><subject>Fading</subject><subject>Fading channels</subject><subject>Format</subject><subject>inverse Nakagaim-<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">m distribution</subject><subject>Inverse problems</subject><subject>Mathematical analysis</subject><subject>Method of moments</subject><subject>Monte Carolo methods</subject><subject>Probability density functions</subject><subject>Random variables</subject><subject>Rician channels</subject><subject>shadowed Rician model</subject><subject>Signal reception</subject><subject>Statistical distributions</subject><subject>Variations</subject><issn>2162-2337</issn><issn>2162-2345</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kMtLw0AQhxdRsNTeBS8BL14Sd3aT3e1RolUhIvjA47KPWZsSk5oHxf_ehJbOZYbh-83AR8gl0ASALm-LrzxhFFTClAQh5QmZMRAsZjzNTo8zl-dk0XUbOpagwEDNyM19M9gKo_e18c2urL-jfo3RW-lKU0cr46fNS-OxuiBnwVQdLg59Tj5XDx_5U1y8Pj7nd0XsOOd97CWyTKGwdomZN6nyTgXpncus88CdMJlEZY0PjrngDNgUmGfSSU-DTQOfk-v93W3b_A7Y9XrTDG09vtSMAaWcCi5Giu4p1zZd12LQ27b8Me2fBqonJXpUoicl-qBkjFztIyUiHnGVSgqp5P9PPVwB</recordid><startdate>20190401</startdate><enddate>20190401</enddate><creator>Simmons, Nidhi</creator><creator>da Silva, Carlos Rafael Nogueira</creator><creator>Cotton, Simon L.</creator><creator>Sofotasios, Paschalis C.</creator><creator>Yacoub, Michel Daoud</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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We conveniently refer to this as the double shadowed Rician fading model which can appear in two different formats, each underpinned by a different physical signal reception model. The first format assumes a Rician envelope where the dominant component is fluctuated by a Nakagami-m random variable (RV) which is preceded (or succeeded) by a secondary round of shadowing brought about by an inverse Nakagami-m RV. The second format considers that the dominant component and scattered waves of a Rician envelope are perturbed by two different shadowing processes. In particular, the dominant component experiences variations characterized by the product of a Nakagami-m and an inverse Nakagami-m RV, whereas the scattered waves are subject to fluctuations influenced by an inverse Nakagami-m RV. Using the relationship between the shadowing properties of the two formats, we develop unified closed-form and analytical expressions for their probability density function, cumulative distribution function, moment-generating function and moments. All derived expressions are validated through Monte Carlo simulations and reduction to a number of special cases.</abstract><cop>Piscataway</cop><pub>IEEE</pub><doi>10.1109/LWC.2018.2871677</doi><tpages>4</tpages><orcidid>https://orcid.org/0000-0002-8076-9607</orcidid><orcidid>https://orcid.org/0000-0003-2620-6501</orcidid><orcidid>https://orcid.org/0000-0002-5866-5879</orcidid><orcidid>https://orcid.org/0000-0001-8389-0966</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Composite fading Computer simulation Distribution functions Economic models Exact solutions Fading Fading channels Format inverse Nakagaim-<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">m distribution Inverse problems Mathematical analysis Method of moments Monte Carolo methods Probability density functions Random variables Rician channels shadowed Rician model Signal reception Statistical distributions Variations |
| title | Double Shadowing the Rician Fading Model |
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