A Space-Time Code Design for CPM: Diversity Order and Coding Gain
Sufficient conditions are derived under which M -ary partial- and full-response continuous phase modulation (CPM) space-time (ST) codes will attain both full spatial diversity and optimal coding gain. General code construction rules are desirable due to the nonlinearity and inherent memory of the CP...
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| Veröffentlicht in: | IEEE transactions on information theory 2009-08, Vol.55 (8), p.3781-3798 |
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| creator | Zajic, A.G. Stuber, G.L. |
| description | Sufficient conditions are derived under which M -ary partial- and full-response continuous phase modulation (CPM) space-time (ST) codes will attain both full spatial diversity and optimal coding gain. General code construction rules are desirable due to the nonlinearity and inherent memory of the CPM signals which makes manual design or computer search difficult. Using a linear decomposition of CPM signals with tilted phase, we identify a rank criterion for M -ary partial- and full-response CPM that specifies the set of allowable modulation indices. We also propose a coding gain design criterion. Optimization of the coding gain for CPM ST codes is shown to depend on the CPM frequency/phase shaping pulse, modulation index, and codewords. The modulation indices and phase shaping functions that improve the coding gain are specified. Finally, optimization of coding gain for ST-CPM and orthogonal ST-CPM codewords is discussed. |
| doi_str_mv | 10.1109/TIT.2009.2023755 |
| format | Article |
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General code construction rules are desirable due to the nonlinearity and inherent memory of the CPM signals which makes manual design or computer search difficult. Using a linear decomposition of CPM signals with tilted phase, we identify a rank criterion for M -ary partial- and full-response CPM that specifies the set of allowable modulation indices. We also propose a coding gain design criterion. Optimization of the coding gain for CPM ST codes is shown to depend on the CPM frequency/phase shaping pulse, modulation index, and codewords. The modulation indices and phase shaping functions that improve the coding gain are specified. 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(IEEE) Aug 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-e94f481115660110b86262e141af0c2aab5fe1562265e6cebd40d9d12f0013143</citedby><cites>FETCH-LOGICAL-c383t-e94f481115660110b86262e141af0c2aab5fe1562265e6cebd40d9d12f0013143</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5165174$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5165174$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21836033$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Zajic, A.G.</creatorcontrib><creatorcontrib>Stuber, G.L.</creatorcontrib><title>A Space-Time Code Design for CPM: Diversity Order and Coding Gain</title><title>IEEE transactions on information theory</title><addtitle>TIT</addtitle><description>Sufficient conditions are derived under which M -ary partial- and full-response continuous phase modulation (CPM) space-time (ST) codes will attain both full spatial diversity and optimal coding gain. General code construction rules are desirable due to the nonlinearity and inherent memory of the CPM signals which makes manual design or computer search difficult. Using a linear decomposition of CPM signals with tilted phase, we identify a rank criterion for M -ary partial- and full-response CPM that specifies the set of allowable modulation indices. We also propose a coding gain design criterion. Optimization of the coding gain for CPM ST codes is shown to depend on the CPM frequency/phase shaping pulse, modulation index, and codewords. The modulation indices and phase shaping functions that improve the coding gain are specified. Finally, optimization of coding gain for ST-CPM and orthogonal ST-CPM codewords is discussed.</description><subject>Applied sciences</subject><subject>Codes</subject><subject>Coding</subject><subject>Coding gain</subject><subject>Coding, codes</subject><subject>Collaborative work</subject><subject>Continuous phase modulation</subject><subject>continuous phase modulation (CPM)</subject><subject>Criteria</subject><subject>Data encryption</subject><subject>Design optimization</subject><subject>determinant criterion</subject><subject>Euclidean distance</subject><subject>Exact sciences and technology</subject><subject>Gain</subject><subject>Government</subject><subject>Information theory</subject><subject>Information, signal and communications theory</subject><subject>linear decomposition</subject><subject>Mathematical analysis</subject><subject>Modulation</subject><subject>Modulation, demodulation</subject><subject>Nonlinearity</subject><subject>Optimization</subject><subject>Phase modulation</subject><subject>Phase shift keying</subject><subject>Quadrature amplitude modulation</subject><subject>rank criterion</subject><subject>Rayleigh channels</subject><subject>Rayleigh fading</subject><subject>Searching</subject><subject>Signal and communications theory</subject><subject>Signal design</subject><subject>space-time (ST) coding</subject><subject>spatial diversity</subject><subject>Systems, networks and services of telecommunications</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><subject>tilted phase</subject><subject>Transmission and modulation (techniques and equipments)</subject><issn>0018-9448</issn><issn>1557-9654</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kMtLAzEQxoMoWKt3wUsQ1NNqJq8m3kp9glLBeg7p7mxJaXdr0gr9701p6cGDlxmG7zevj5BzYLcAzN6NXke3nDGbAxc9pQ5IB5TqFVYreUg6jIEprJTmmJykNM2lVMA7pN-nnwtfYjEKc6SDtkL6gClMGlq3kQ4-3u_pQ_jBmMJyTYexwkh9U23A0Ezosw_NKTmq_Szh2S53ydfT42jwUrwNn18H_beiFEYsC7SylgYAlNYsXzw2mmuOIMHXrOTej1WNWeRcK9QljivJKlsBr_OtAqTokpvt3EVsv1eYlm4eUomzmW-wXSVntDWKKcEzef0vKaQ2eW8vg5d_wGm7ik3-woFVVkhlWIbYFipjm1LE2i1imPu4dsDcxnqXrXcb693O-txytZvrU-lndfRNGdK-j4MRmgmRuYstFxBxLyvQCnpS_ALnHIeY</recordid><startdate>20090801</startdate><enddate>20090801</enddate><creator>Zajic, A.G.</creator><creator>Stuber, G.L.</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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General code construction rules are desirable due to the nonlinearity and inherent memory of the CPM signals which makes manual design or computer search difficult. Using a linear decomposition of CPM signals with tilted phase, we identify a rank criterion for M -ary partial- and full-response CPM that specifies the set of allowable modulation indices. We also propose a coding gain design criterion. Optimization of the coding gain for CPM ST codes is shown to depend on the CPM frequency/phase shaping pulse, modulation index, and codewords. The modulation indices and phase shaping functions that improve the coding gain are specified. Finally, optimization of coding gain for ST-CPM and orthogonal ST-CPM codewords is discussed.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TIT.2009.2023755</doi><tpages>18</tpages></addata></record> |
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| subjects | Applied sciences Codes Coding Coding gain Coding, codes Collaborative work Continuous phase modulation continuous phase modulation (CPM) Criteria Data encryption Design optimization determinant criterion Euclidean distance Exact sciences and technology Gain Government Information theory Information, signal and communications theory linear decomposition Mathematical analysis Modulation Modulation, demodulation Nonlinearity Optimization Phase modulation Phase shift keying Quadrature amplitude modulation rank criterion Rayleigh channels Rayleigh fading Searching Signal and communications theory Signal design space-time (ST) coding spatial diversity Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory tilted phase Transmission and modulation (techniques and equipments) |
| title | A Space-Time Code Design for CPM: Diversity Order and Coding Gain |
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