Secure Degree of Freedom Bound of Secret-Key Capacity for Two-Way Wiretap Channel
This letter focuses on the optimal sum secure degree of freedom (SDoF) in a two-way wiretap channel (TW-WC), wherein two legitimate full-duplex multiple-antenna nodes cooperate with each other and are wiretapped by a multiple antenna eavesdropper simultaneously. It aims to find the optimal sum SDoF...
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| Veröffentlicht in: | IEEE signal processing letters 2025, Vol.32, p.581-585 |
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| creator | Liang, Qingpeng Du, Linsong Wu, Yanzhi Ma, Zheng |
| description | This letter focuses on the optimal sum secure degree of freedom (SDoF) in a two-way wiretap channel (TW-WC), wherein two legitimate full-duplex multiple-antenna nodes cooperate with each other and are wiretapped by a multiple antenna eavesdropper simultaneously. It aims to find the optimal sum SDoF pertaining to secret-key capacity for the TW-WC. First, we analyze the upper bound and lower bounds of the optimal sum SDoF by establishing their equivalence to the expression of the optimal SDoF corresponding to the secrecy rate for the TW-WC. Subsequently, in scenarios where the legitimate nodes are configured with an equal number of transmit and receive antennas, it is elucidated that the upper and lower bounds of the optimal SDoF converge. Furthermore, the findings suggest that a higher SDoF can be achieved than the existing works, thereby heralding an enhancement in secure spectral efficiency. |
| doi_str_mv | 10.1109/LSP.2024.3525406 |
| format | Article |
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It aims to find the optimal sum SDoF pertaining to secret-key capacity for the TW-WC. First, we analyze the upper bound and lower bounds of the optimal sum SDoF by establishing their equivalence to the expression of the optimal SDoF corresponding to the secrecy rate for the TW-WC. Subsequently, in scenarios where the legitimate nodes are configured with an equal number of transmit and receive antennas, it is elucidated that the upper and lower bounds of the optimal SDoF converge. Furthermore, the findings suggest that a higher SDoF can be achieved than the existing works, thereby heralding an enhancement in secure spectral efficiency.</description><identifier>ISSN: 1070-9908</identifier><identifier>EISSN: 1558-2361</identifier><identifier>DOI: 10.1109/LSP.2024.3525406</identifier><identifier>CODEN: ISPLEM</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Antennas ; Degrees of freedom ; Eavesdropping ; Forensics ; Full-duplex communications ; Lower bound ; Lower bounds ; Nodes ; Oral communication ; Receiving antennas ; secret-key capacity ; secure degree of freedom (SDoF) ; Surveillance ; Transmitting antennas ; two-way wiretap channel (TW-WC) ; Upper bound ; Upper bounds ; Vectors ; Wireless networks ; Wiretapping</subject><ispartof>IEEE signal processing letters, 2025, Vol.32, p.581-585</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2025</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c175t-ac7a7e9721e30e1fbe9d80471545b72605a9286fa88305deb64c9ae9c677795d3</cites><orcidid>0000-0002-7185-9889 ; 0000-0002-3953-5593 ; 0000-0003-1683-4299 ; 0000-0003-2707-0079</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/10824677$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,4010,27900,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/10824677$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Liang, Qingpeng</creatorcontrib><creatorcontrib>Du, Linsong</creatorcontrib><creatorcontrib>Wu, Yanzhi</creatorcontrib><creatorcontrib>Ma, Zheng</creatorcontrib><title>Secure Degree of Freedom Bound of Secret-Key Capacity for Two-Way Wiretap Channel</title><title>IEEE signal processing letters</title><addtitle>LSP</addtitle><description>This letter focuses on the optimal sum secure degree of freedom (SDoF) in a two-way wiretap channel (TW-WC), wherein two legitimate full-duplex multiple-antenna nodes cooperate with each other and are wiretapped by a multiple antenna eavesdropper simultaneously. It aims to find the optimal sum SDoF pertaining to secret-key capacity for the TW-WC. First, we analyze the upper bound and lower bounds of the optimal sum SDoF by establishing their equivalence to the expression of the optimal SDoF corresponding to the secrecy rate for the TW-WC. Subsequently, in scenarios where the legitimate nodes are configured with an equal number of transmit and receive antennas, it is elucidated that the upper and lower bounds of the optimal SDoF converge. Furthermore, the findings suggest that a higher SDoF can be achieved than the existing works, thereby heralding an enhancement in secure spectral efficiency.</description><subject>Antennas</subject><subject>Degrees of freedom</subject><subject>Eavesdropping</subject><subject>Forensics</subject><subject>Full-duplex communications</subject><subject>Lower bound</subject><subject>Lower bounds</subject><subject>Nodes</subject><subject>Oral communication</subject><subject>Receiving antennas</subject><subject>secret-key capacity</subject><subject>secure degree of freedom (SDoF)</subject><subject>Surveillance</subject><subject>Transmitting antennas</subject><subject>two-way wiretap channel (TW-WC)</subject><subject>Upper bound</subject><subject>Upper bounds</subject><subject>Vectors</subject><subject>Wireless networks</subject><subject>Wiretapping</subject><issn>1070-9908</issn><issn>1558-2361</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2025</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkM1Lw0AQxRdRsFbvHjwseE6d3eznUatVsaDSSo9hm0w0pWbjJkHy37ulPXh6w8zvzYNHyCWDCWNgb-aLtwkHLiap5FKAOiIjJqVJeKrYcZxBQ2ItmFNy1rYbADDMyBF5X2DeB6T3-BkQqS_pLGrhv-md7-tit4hEwC55wYFOXePyqhto6QNd_vpk5Qa6quLZNXT65eoat-fkpHTbFi8OOiYfs4fl9CmZvz4-T2_nSc607BKXa6fRas4wBWTlGm1hQGgmhVxrrkA6y40qnTEpyALXSuTWoc2V1trKIh2T6_3fJvifHtsu2_g-1DEyS5lUSgihVaRgT-XBt23AMmtC9e3CkDHIdsVlsbhsV1x2KC5arvaWChH_4YaLmJ3-AaJRZ9E</recordid><startdate>2025</startdate><enddate>2025</enddate><creator>Liang, Qingpeng</creator><creator>Du, Linsong</creator><creator>Wu, Yanzhi</creator><creator>Ma, Zheng</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-7185-9889</orcidid><orcidid>https://orcid.org/0000-0002-3953-5593</orcidid><orcidid>https://orcid.org/0000-0003-1683-4299</orcidid><orcidid>https://orcid.org/0000-0003-2707-0079</orcidid></search><sort><creationdate>2025</creationdate><title>Secure Degree of Freedom Bound of Secret-Key Capacity for Two-Way Wiretap Channel</title><author>Liang, Qingpeng ; Du, Linsong ; Wu, Yanzhi ; Ma, Zheng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c175t-ac7a7e9721e30e1fbe9d80471545b72605a9286fa88305deb64c9ae9c677795d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2025</creationdate><topic>Antennas</topic><topic>Degrees of freedom</topic><topic>Eavesdropping</topic><topic>Forensics</topic><topic>Full-duplex communications</topic><topic>Lower bound</topic><topic>Lower bounds</topic><topic>Nodes</topic><topic>Oral communication</topic><topic>Receiving antennas</topic><topic>secret-key capacity</topic><topic>secure degree of freedom (SDoF)</topic><topic>Surveillance</topic><topic>Transmitting antennas</topic><topic>two-way wiretap channel (TW-WC)</topic><topic>Upper bound</topic><topic>Upper bounds</topic><topic>Vectors</topic><topic>Wireless networks</topic><topic>Wiretapping</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liang, Qingpeng</creatorcontrib><creatorcontrib>Du, Linsong</creatorcontrib><creatorcontrib>Wu, Yanzhi</creatorcontrib><creatorcontrib>Ma, Zheng</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>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE signal processing letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Liang, Qingpeng</au><au>Du, Linsong</au><au>Wu, Yanzhi</au><au>Ma, Zheng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Secure Degree of Freedom Bound of Secret-Key Capacity for Two-Way Wiretap Channel</atitle><jtitle>IEEE signal processing letters</jtitle><stitle>LSP</stitle><date>2025</date><risdate>2025</risdate><volume>32</volume><spage>581</spage><epage>585</epage><pages>581-585</pages><issn>1070-9908</issn><eissn>1558-2361</eissn><coden>ISPLEM</coden><abstract>This letter focuses on the optimal sum secure degree of freedom (SDoF) in a two-way wiretap channel (TW-WC), wherein two legitimate full-duplex multiple-antenna nodes cooperate with each other and are wiretapped by a multiple antenna eavesdropper simultaneously. It aims to find the optimal sum SDoF pertaining to secret-key capacity for the TW-WC. First, we analyze the upper bound and lower bounds of the optimal sum SDoF by establishing their equivalence to the expression of the optimal SDoF corresponding to the secrecy rate for the TW-WC. Subsequently, in scenarios where the legitimate nodes are configured with an equal number of transmit and receive antennas, it is elucidated that the upper and lower bounds of the optimal SDoF converge. Furthermore, the findings suggest that a higher SDoF can be achieved than the existing works, thereby heralding an enhancement in secure spectral efficiency.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/LSP.2024.3525406</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0002-7185-9889</orcidid><orcidid>https://orcid.org/0000-0002-3953-5593</orcidid><orcidid>https://orcid.org/0000-0003-1683-4299</orcidid><orcidid>https://orcid.org/0000-0003-2707-0079</orcidid></addata></record> |
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| subjects | Antennas Degrees of freedom Eavesdropping Forensics Full-duplex communications Lower bound Lower bounds Nodes Oral communication Receiving antennas secret-key capacity secure degree of freedom (SDoF) Surveillance Transmitting antennas two-way wiretap channel (TW-WC) Upper bound Upper bounds Vectors Wireless networks Wiretapping |
| title | Secure Degree of Freedom Bound of Secret-Key Capacity for Two-Way Wiretap Channel |
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