On the capacity of log-normal fading channels
In this letter we provide an analytical expression for the moments of the capacity for the log-normal fading channel. Since the developed expression involves infinite series, we show that the error that results from the truncation of these series is insignificant. We also analyze in more details the...
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| Veröffentlicht in: | IEEE transactions on communications 2009-06, Vol.57 (6), p.1603-1607 |
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| container_end_page | 1607 |
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| container_issue | 6 |
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| container_title | IEEE transactions on communications |
| container_volume | 57 |
| creator | Laourine, A. Stephenne, A. Affes, S. |
| description | In this letter we provide an analytical expression for the moments of the capacity for the log-normal fading channel. Since the developed expression involves infinite series, we show that the error that results from the truncation of these series is insignificant. We also analyze in more details the ergodic capacity by giving a simpler expression for the remainder of the truncated series. Relying on the fact that the sum of log-normal random variables (RV) is well approximated by another lognormal RV, we further utilize the obtained results to approximate the capacity of diversity combining techniques in correlated lognormal fading channels. The results that we provide in this letter are an important tool for measuring the performance of communication links in a log-normal environment. |
| doi_str_mv | 10.1109/TCOMM.2009.06.070109 |
| format | Article |
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Since the developed expression involves infinite series, we show that the error that results from the truncation of these series is insignificant. We also analyze in more details the ergodic capacity by giving a simpler expression for the remainder of the truncated series. Relying on the fact that the sum of log-normal random variables (RV) is well approximated by another lognormal RV, we further utilize the obtained results to approximate the capacity of diversity combining techniques in correlated lognormal fading channels. 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(IEEE) 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c457t-ff40e3d14077a78874f41af072ccbe976142e775685b76e3fa9cae6de964977f3</citedby><cites>FETCH-LOGICAL-c457t-ff40e3d14077a78874f41af072ccbe976142e775685b76e3fa9cae6de964977f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5089494$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5089494$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21742331$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Laourine, A.</creatorcontrib><creatorcontrib>Stephenne, A.</creatorcontrib><creatorcontrib>Affes, S.</creatorcontrib><title>On the capacity of log-normal fading channels</title><title>IEEE transactions on communications</title><addtitle>TCOMM</addtitle><description>In this letter we provide an analytical expression for the moments of the capacity for the log-normal fading channel. Since the developed expression involves infinite series, we show that the error that results from the truncation of these series is insignificant. We also analyze in more details the ergodic capacity by giving a simpler expression for the remainder of the truncated series. Relying on the fact that the sum of log-normal random variables (RV) is well approximated by another lognormal RV, we further utilize the obtained results to approximate the capacity of diversity combining techniques in correlated lognormal fading channels. The results that we provide in this letter are an important tool for measuring the performance of communication links in a log-normal environment.</description><subject>Applied sciences</subject><subject>Approximation</subject><subject>Channel capacity</subject><subject>Channels</subject><subject>Correlation</subject><subject>Diversity methods</subject><subject>Diversity reception</subject><subject>Exact sciences and technology</subject><subject>Exact solutions</subject><subject>Fading</subject><subject>Higher order statistics</subject><subject>Information rates</subject><subject>Interference</subject><subject>Log-normal distribution</subject><subject>log-normal distributions</subject><subject>Mathematical analysis</subject><subject>Random variables</subject><subject>Recreational vehicles</subject><subject>Systems, networks and services of telecommunications</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><subject>Transmission and modulation (techniques and equipments)</subject><subject>Ultra wideband technology</subject><issn>0090-6778</issn><issn>1558-0857</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kE1PAjEQhhujiYj-Aj1sTNTT4vRz2qMhfiUQLnhuSmlhybKL2-XAv3cRwsGDp0lmnvdN5iHkjsKAUjDP0-FkPB4wADMANQCEbnlGelRKnYOWeE563Q1yhagvyVVKKwAQwHmP5JMqa5ch827jfNHusjpmZb3Iq7pZuzKLbl5Ui8wvXVWFMl2Ti-jKFG6Os0--3l6nw498NHn_HL6Mci8ktnmMAgKfUwGIDrVGEQV1EZB5PwsGFRUsIEql5QxV4NEZ74KaB6OEQYy8T54OvZum_t6G1Np1kXwoS1eFepusVkYLIZTqyMd_Sa64ZIybDrz_A67qbVN1X1gtlaEMGO0gcYB8U6fUhGg3TbF2zc5SsHvV9le13au2oOxBdRd7OHa75F0ZG1f5Ip2yjKJgnO_rbw9cEUI4nSVoI4zgP67VhOo</recordid><startdate>20090601</startdate><enddate>20090601</enddate><creator>Laourine, A.</creator><creator>Stephenne, A.</creator><creator>Affes, S.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| issn | 0090-6778 1558-0857 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Approximation Channel capacity Channels Correlation Diversity methods Diversity reception Exact sciences and technology Exact solutions Fading Higher order statistics Information rates Interference Log-normal distribution log-normal distributions Mathematical analysis Random variables Recreational vehicles Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) Ultra wideband technology |
| title | On the capacity of log-normal fading channels |
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