MIMO Cooperative Diversity with Scalar-Gain Amplify-and-Forward Relaying
We analyze diversity performance of scalar fixed- gain amplify-and-forward (AF) cooperation in multiple-input multiple-output (MIMO) relay channels with s source antennas, R relay antennas, and D destination antennas. We first derive the exact symbol error probability (SEP) for maximum likelihood de...
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Veröffentlicht in: | IEEE transactions on communications 2009-07, Vol.57 (7), p.1932-1938 |
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creator | Song, Youngpil Shin, Hyundong Hong, Een-Kee |
description | We analyze diversity performance of scalar fixed- gain amplify-and-forward (AF) cooperation in multiple-input multiple-output (MIMO) relay channels with s source antennas, R relay antennas, and D destination antennas. We first derive the exact symbol error probability (SEP) for maximum likelihood decoding of orthogonal space-time block codes with M-ary phase-shift keying modulation over such channels and then characterize the effect of MIMO cooperative diversity on SEP behavior in a high signal-to-noise ratio regime. We show that the simple scalar-gain AF cooperation can create the diversity order d AF ≤n S n D +n S n R n D /max{n S ,n R ,n D } with the equality if 2max{n S ,n R ,n D }≥n S +n R +n D -1. This finding reveals that the number of relay antennas greater than or equal to n S + n D - 1 is required to achieve the additional diversity order n S n D by scalar-gain AF relaying. We also present the asymptotic SEP as the number of relay antennas tends to infinity. |
doi_str_mv | 10.1109/TCOMM.2009.07.070099 |
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We first derive the exact symbol error probability (SEP) for maximum likelihood decoding of orthogonal space-time block codes with M-ary phase-shift keying modulation over such channels and then characterize the effect of MIMO cooperative diversity on SEP behavior in a high signal-to-noise ratio regime. We show that the simple scalar-gain AF cooperation can create the diversity order d AF ≤n S n D +n S n R n D /max{n S ,n R ,n D } with the equality if 2max{n S ,n R ,n D }≥n S +n R +n D -1. This finding reveals that the number of relay antennas greater than or equal to n S + n D - 1 is required to achieve the additional diversity order n S n D by scalar-gain AF relaying. We also present the asymptotic SEP as the number of relay antennas tends to infinity.</description><identifier>ISSN: 0090-6778</identifier><identifier>EISSN: 1558-0857</identifier><identifier>DOI: 10.1109/TCOMM.2009.07.070099</identifier><identifier>CODEN: IECMBT</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Amplification ; Amplify-and-forward (AF) relaying ; Antennas ; Applied sciences ; Asymptotic properties ; Block codes ; Channels ; Codes ; Coding, codes ; Cooperation ; cooperative diversity ; Error probability ; Exact sciences and technology ; Information, signal and communications theory ; Maximum likelihood decoding ; MIMO ; Modulation ; Modulation coding ; Modulation, demodulation ; multiple-input multiple-output (MIMO) ; orthogonal space-time block code ; Performance analysis ; Performance gain ; Phase modulation ; Phase shift keying ; Radiocommunications ; Relay ; Relaying ; Relays ; Signal and communications theory ; symbol error probability ; Systems, networks and services of telecommunications ; Telecommunications ; Telecommunications and information theory ; Transmission and modulation (techniques and equipments)</subject><ispartof>IEEE transactions on communications, 2009-07, Vol.57 (7), p.1932-1938</ispartof><rights>2009 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c391t-a884ed242a551a091f25955a431e103c84d1415093db9c17ece7c550617c4a5c3</citedby><cites>FETCH-LOGICAL-c391t-a884ed242a551a091f25955a431e103c84d1415093db9c17ece7c550617c4a5c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5165385$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5165385$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21742552$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Song, Youngpil</creatorcontrib><creatorcontrib>Shin, Hyundong</creatorcontrib><creatorcontrib>Hong, Een-Kee</creatorcontrib><title>MIMO Cooperative Diversity with Scalar-Gain Amplify-and-Forward Relaying</title><title>IEEE transactions on communications</title><addtitle>TCOMM</addtitle><description>We analyze diversity performance of scalar fixed- gain amplify-and-forward (AF) cooperation in multiple-input multiple-output (MIMO) relay channels with s source antennas, R relay antennas, and D destination antennas. We first derive the exact symbol error probability (SEP) for maximum likelihood decoding of orthogonal space-time block codes with M-ary phase-shift keying modulation over such channels and then characterize the effect of MIMO cooperative diversity on SEP behavior in a high signal-to-noise ratio regime. We show that the simple scalar-gain AF cooperation can create the diversity order d AF ≤n S n D +n S n R n D /max{n S ,n R ,n D } with the equality if 2max{n S ,n R ,n D }≥n S +n R +n D -1. This finding reveals that the number of relay antennas greater than or equal to n S + n D - 1 is required to achieve the additional diversity order n S n D by scalar-gain AF relaying. We also present the asymptotic SEP as the number of relay antennas tends to infinity.</description><subject>Amplification</subject><subject>Amplify-and-forward (AF) relaying</subject><subject>Antennas</subject><subject>Applied sciences</subject><subject>Asymptotic properties</subject><subject>Block codes</subject><subject>Channels</subject><subject>Codes</subject><subject>Coding, codes</subject><subject>Cooperation</subject><subject>cooperative diversity</subject><subject>Error probability</subject><subject>Exact sciences and technology</subject><subject>Information, signal and communications theory</subject><subject>Maximum likelihood decoding</subject><subject>MIMO</subject><subject>Modulation</subject><subject>Modulation coding</subject><subject>Modulation, demodulation</subject><subject>multiple-input multiple-output (MIMO)</subject><subject>orthogonal space-time block code</subject><subject>Performance analysis</subject><subject>Performance gain</subject><subject>Phase modulation</subject><subject>Phase shift keying</subject><subject>Radiocommunications</subject><subject>Relay</subject><subject>Relaying</subject><subject>Relays</subject><subject>Signal and communications theory</subject><subject>symbol error probability</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><issn>0090-6778</issn><issn>1558-0857</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kU1rGzEQhkVooa7TX9AelkDT07oaSbOSjsHNF8QY2vQsJlpto7DedaV1g_99lTrk0EOE0IiZ5x2YeRn7BHwBwO3X2-V6tVoIzu2C63LLxx6xGSCamhvUb9ispHjdaG3esfc5P3DOFZdyxq5W16t1tRzHbUg0xT-h-laelOO0rx7jdF_98NRTqi8pDtXZZtvHbl_T0NYXY3qk1FbfQ0_7OPw6Zm876nP48Bzn7OfF-e3yqr5ZX14vz25qLy1MNRmjQiuUIEQgbqETaBFJSQjApTeqBQXIrWzvrAcdfNAekTegvSL0cs6-HPpu0_h7F_LkNjH70Pc0hHGXnWmsUVoiFPL0VVIqa1UjVAFP_gMfxl0ayhTOYGNByHLmTB0gn8acU-jcNsUNpb0D7p5ccP9ccE8uOK7dwYUi-_zcm3LZZJdo8DG_aAVoJRBF4T4euBhCeCkjNCgNyr8Q4I4j</recordid><startdate>20090701</startdate><enddate>20090701</enddate><creator>Song, Youngpil</creator><creator>Shin, Hyundong</creator><creator>Hong, Een-Kee</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20090701</creationdate><title>MIMO Cooperative Diversity with Scalar-Gain Amplify-and-Forward Relaying</title><author>Song, Youngpil ; Shin, Hyundong ; Hong, Een-Kee</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c391t-a884ed242a551a091f25955a431e103c84d1415093db9c17ece7c550617c4a5c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Amplification</topic><topic>Amplify-and-forward (AF) relaying</topic><topic>Antennas</topic><topic>Applied sciences</topic><topic>Asymptotic properties</topic><topic>Block codes</topic><topic>Channels</topic><topic>Codes</topic><topic>Coding, codes</topic><topic>Cooperation</topic><topic>cooperative diversity</topic><topic>Error probability</topic><topic>Exact sciences and technology</topic><topic>Information, signal and communications theory</topic><topic>Maximum likelihood decoding</topic><topic>MIMO</topic><topic>Modulation</topic><topic>Modulation coding</topic><topic>Modulation, demodulation</topic><topic>multiple-input multiple-output (MIMO)</topic><topic>orthogonal space-time block code</topic><topic>Performance analysis</topic><topic>Performance gain</topic><topic>Phase modulation</topic><topic>Phase shift keying</topic><topic>Radiocommunications</topic><topic>Relay</topic><topic>Relaying</topic><topic>Relays</topic><topic>Signal and communications theory</topic><topic>symbol error probability</topic><topic>Systems, networks and services of telecommunications</topic><topic>Telecommunications</topic><topic>Telecommunications and information theory</topic><topic>Transmission and modulation (techniques and equipments)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Song, Youngpil</creatorcontrib><creatorcontrib>Shin, Hyundong</creatorcontrib><creatorcontrib>Hong, Een-Kee</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on communications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Song, Youngpil</au><au>Shin, Hyundong</au><au>Hong, Een-Kee</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>MIMO Cooperative Diversity with Scalar-Gain Amplify-and-Forward Relaying</atitle><jtitle>IEEE transactions on communications</jtitle><stitle>TCOMM</stitle><date>2009-07-01</date><risdate>2009</risdate><volume>57</volume><issue>7</issue><spage>1932</spage><epage>1938</epage><pages>1932-1938</pages><issn>0090-6778</issn><eissn>1558-0857</eissn><coden>IECMBT</coden><abstract>We analyze diversity performance of scalar fixed- gain amplify-and-forward (AF) cooperation in multiple-input multiple-output (MIMO) relay channels with s source antennas, R relay antennas, and D destination antennas. We first derive the exact symbol error probability (SEP) for maximum likelihood decoding of orthogonal space-time block codes with M-ary phase-shift keying modulation over such channels and then characterize the effect of MIMO cooperative diversity on SEP behavior in a high signal-to-noise ratio regime. We show that the simple scalar-gain AF cooperation can create the diversity order d AF ≤n S n D +n S n R n D /max{n S ,n R ,n D } with the equality if 2max{n S ,n R ,n D }≥n S +n R +n D -1. This finding reveals that the number of relay antennas greater than or equal to n S + n D - 1 is required to achieve the additional diversity order n S n D by scalar-gain AF relaying. We also present the asymptotic SEP as the number of relay antennas tends to infinity.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TCOMM.2009.07.070099</doi><tpages>7</tpages></addata></record> |
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subjects | Amplification Amplify-and-forward (AF) relaying Antennas Applied sciences Asymptotic properties Block codes Channels Codes Coding, codes Cooperation cooperative diversity Error probability Exact sciences and technology Information, signal and communications theory Maximum likelihood decoding MIMO Modulation Modulation coding Modulation, demodulation multiple-input multiple-output (MIMO) orthogonal space-time block code Performance analysis Performance gain Phase modulation Phase shift keying Radiocommunications Relay Relaying Relays Signal and communications theory symbol error probability Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) |
title | MIMO Cooperative Diversity with Scalar-Gain Amplify-and-Forward Relaying |
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