Sending a Bivariate Gaussian Source Over a Gaussian MAC With Feedback
We study the power-versus-distortion tradeoff for the transmission of a memoryless bivariate Gaussian source over a two-to-one Gaussian multiple-access channel with perfect causal feedback. In this problem, each of two separate transmitters observes a different component of a memoryless bivariate Ga...
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| Veröffentlicht in: | IEEE transactions on information theory 2010-04, Vol.56 (4), p.1852-1864 |
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| creator | Lapidoth, A. Tinguely, S. |
| description | We study the power-versus-distortion tradeoff for the transmission of a memoryless bivariate Gaussian source over a two-to-one Gaussian multiple-access channel with perfect causal feedback. In this problem, each of two separate transmitters observes a different component of a memoryless bivariate Gaussian source as well as the feedback from the channel output of the previous time-instants. Based on the observed source sequence and the feedback, each transmitter then describes its source component to the common receiver via an average-power constrained Gaussian multiple-access channel. From the resulting channel output, the receiver wishes to reconstruct each source component with the least possible expected squared-error distortion. We study the set of distortion pairs that can be achieved by the receiver on the two source components. We present sufficient conditions and necessary conditions for the achievability of a distortion pair. These conditions are expressed in terms of the source correlation and of the signal-to-noise ratio (SNR) of the channel. In several cases the necessary conditions and sufficient conditions are shown to agree. In particular, we show that if the channel SNR is below a certain threshold, then an uncoded transmission scheme that ignores the feedback is optimal. Thus, below this SNR-threshold, feedback is useless. We also derive the optimal high-SNR asymptotics. |
| doi_str_mv | 10.1109/TIT.2010.2040870 |
| format | Article |
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In this problem, each of two separate transmitters observes a different component of a memoryless bivariate Gaussian source as well as the feedback from the channel output of the previous time-instants. Based on the observed source sequence and the feedback, each transmitter then describes its source component to the common receiver via an average-power constrained Gaussian multiple-access channel. From the resulting channel output, the receiver wishes to reconstruct each source component with the least possible expected squared-error distortion. We study the set of distortion pairs that can be achieved by the receiver on the two source components. We present sufficient conditions and necessary conditions for the achievability of a distortion pair. These conditions are expressed in terms of the source correlation and of the signal-to-noise ratio (SNR) of the channel. In several cases the necessary conditions and sufficient conditions are shown to agree. In particular, we show that if the channel SNR is below a certain threshold, then an uncoded transmission scheme that ignores the feedback is optimal. Thus, below this SNR-threshold, feedback is useless. We also derive the optimal high-SNR asymptotics.</description><identifier>ISSN: 0018-9448</identifier><identifier>EISSN: 1557-9654</identifier><identifier>DOI: 10.1109/TIT.2010.2040870</identifier><identifier>CODEN: IETTAW</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Access methods and protocols, osi model ; Achievable distortion ; Applied sciences ; Asymptotic properties ; Channels ; Coding, codes ; combined source-channel coding ; correlated sources ; Covariance matrix ; Data transmission ; Distortion ; Exact sciences and technology ; Feedback ; Gaussian ; Gaussian channels ; Gaussian multiple-access channel with feedback ; Gaussian source ; H infinity control ; Information science ; Information technology ; Information theory ; Information, signal and communications theory ; mean squared-error distortion ; multiple-access channel with feedback ; Normal distribution ; Optimization ; Output feedback ; Radiocommunications ; Receivers ; Signal and communications theory ; Signal to noise ratio ; Sufficient conditions ; Telecommunications ; Telecommunications and information theory ; Teleprocessing networks. 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(IEEE) Apr 2010</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c427t-b147a90355a64c7d47b1ce9ea548c9c567e4c8d8fbb60a71e1249e24367a7a6c3</citedby><cites>FETCH-LOGICAL-c427t-b147a90355a64c7d47b1ce9ea548c9c567e4c8d8fbb60a71e1249e24367a7a6c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5437416$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5437416$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22729580$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Lapidoth, A.</creatorcontrib><creatorcontrib>Tinguely, S.</creatorcontrib><title>Sending a Bivariate Gaussian Source Over a Gaussian MAC With Feedback</title><title>IEEE transactions on information theory</title><addtitle>TIT</addtitle><description>We study the power-versus-distortion tradeoff for the transmission of a memoryless bivariate Gaussian source over a two-to-one Gaussian multiple-access channel with perfect causal feedback. In this problem, each of two separate transmitters observes a different component of a memoryless bivariate Gaussian source as well as the feedback from the channel output of the previous time-instants. Based on the observed source sequence and the feedback, each transmitter then describes its source component to the common receiver via an average-power constrained Gaussian multiple-access channel. From the resulting channel output, the receiver wishes to reconstruct each source component with the least possible expected squared-error distortion. We study the set of distortion pairs that can be achieved by the receiver on the two source components. We present sufficient conditions and necessary conditions for the achievability of a distortion pair. These conditions are expressed in terms of the source correlation and of the signal-to-noise ratio (SNR) of the channel. In several cases the necessary conditions and sufficient conditions are shown to agree. In particular, we show that if the channel SNR is below a certain threshold, then an uncoded transmission scheme that ignores the feedback is optimal. Thus, below this SNR-threshold, feedback is useless. We also derive the optimal high-SNR asymptotics.</description><subject>Access methods and protocols, osi model</subject><subject>Achievable distortion</subject><subject>Applied sciences</subject><subject>Asymptotic properties</subject><subject>Channels</subject><subject>Coding, codes</subject><subject>combined source-channel coding</subject><subject>correlated sources</subject><subject>Covariance matrix</subject><subject>Data transmission</subject><subject>Distortion</subject><subject>Exact sciences and technology</subject><subject>Feedback</subject><subject>Gaussian</subject><subject>Gaussian channels</subject><subject>Gaussian multiple-access channel with feedback</subject><subject>Gaussian source</subject><subject>H infinity control</subject><subject>Information science</subject><subject>Information technology</subject><subject>Information theory</subject><subject>Information, signal and communications theory</subject><subject>mean squared-error distortion</subject><subject>multiple-access channel with feedback</subject><subject>Normal distribution</subject><subject>Optimization</subject><subject>Output feedback</subject><subject>Radiocommunications</subject><subject>Receivers</subject><subject>Signal and communications theory</subject><subject>Signal to noise ratio</subject><subject>Sufficient conditions</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><subject>Teleprocessing networks. Isdn</subject><subject>Transmitters</subject><subject>Transmitters. Receivers</subject><subject>uncoded transmission</subject><issn>0018-9448</issn><issn>1557-9654</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp90c9LW0EQB_ClVDC13oVeHoWil6c7-2Z_HTWoFRQPRjwu8zaTdm18sbuJ4H_vhoQceuhpmZ3PDAxfIY5AngJIfza5mZwqWSslUTorP4kRaG1bbzR-FiMpwbUe0e2LL6U81xI1qJG4fOBhmoZfDTUX6Y1yoiU317QqJdHQPCxWOXJz_8a5gt333fm4eUrL380V87Sn-Oer2JvRvPDh9j0Qj1eXk_HP9vb--mZ8fttGVHbZ9oCWvOy0JoPRTtH2ENkzaXTRR20sY3RTN-t7I8kCg0LPCjtjyZKJ3YE43ux9zYu_Ky7L8JJK5PmcBl6sSvDKdBKVt1We_FdCZzRogwCVfv-HPtezh3pHAK9955ySFckNinlRSuZZeM3phfJ7ABnWAYQaQFgHELYB1JEf271UIs1nmYaYym5OKau8dmv3beMSM-_aGjuLYLoPjEqLFQ</recordid><startdate>20100401</startdate><enddate>20100401</enddate><creator>Lapidoth, A.</creator><creator>Tinguely, S.</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>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20100401</creationdate><title>Sending a Bivariate Gaussian Source Over a Gaussian MAC With Feedback</title><author>Lapidoth, A. ; Tinguely, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c427t-b147a90355a64c7d47b1ce9ea548c9c567e4c8d8fbb60a71e1249e24367a7a6c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Access methods and protocols, osi model</topic><topic>Achievable distortion</topic><topic>Applied sciences</topic><topic>Asymptotic properties</topic><topic>Channels</topic><topic>Coding, codes</topic><topic>combined source-channel coding</topic><topic>correlated sources</topic><topic>Covariance matrix</topic><topic>Data transmission</topic><topic>Distortion</topic><topic>Exact sciences and technology</topic><topic>Feedback</topic><topic>Gaussian</topic><topic>Gaussian channels</topic><topic>Gaussian multiple-access channel with feedback</topic><topic>Gaussian source</topic><topic>H infinity control</topic><topic>Information science</topic><topic>Information technology</topic><topic>Information theory</topic><topic>Information, signal and communications theory</topic><topic>mean squared-error distortion</topic><topic>multiple-access channel with feedback</topic><topic>Normal distribution</topic><topic>Optimization</topic><topic>Output feedback</topic><topic>Radiocommunications</topic><topic>Receivers</topic><topic>Signal and communications theory</topic><topic>Signal to noise ratio</topic><topic>Sufficient conditions</topic><topic>Telecommunications</topic><topic>Telecommunications and information theory</topic><topic>Teleprocessing networks. Isdn</topic><topic>Transmitters</topic><topic>Transmitters. Receivers</topic><topic>uncoded transmission</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lapidoth, A.</creatorcontrib><creatorcontrib>Tinguely, S.</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>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><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on information theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lapidoth, A.</au><au>Tinguely, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Sending a Bivariate Gaussian Source Over a Gaussian MAC With Feedback</atitle><jtitle>IEEE transactions on information theory</jtitle><stitle>TIT</stitle><date>2010-04-01</date><risdate>2010</risdate><volume>56</volume><issue>4</issue><spage>1852</spage><epage>1864</epage><pages>1852-1864</pages><issn>0018-9448</issn><eissn>1557-9654</eissn><coden>IETTAW</coden><abstract>We study the power-versus-distortion tradeoff for the transmission of a memoryless bivariate Gaussian source over a two-to-one Gaussian multiple-access channel with perfect causal feedback. In this problem, each of two separate transmitters observes a different component of a memoryless bivariate Gaussian source as well as the feedback from the channel output of the previous time-instants. Based on the observed source sequence and the feedback, each transmitter then describes its source component to the common receiver via an average-power constrained Gaussian multiple-access channel. From the resulting channel output, the receiver wishes to reconstruct each source component with the least possible expected squared-error distortion. We study the set of distortion pairs that can be achieved by the receiver on the two source components. We present sufficient conditions and necessary conditions for the achievability of a distortion pair. These conditions are expressed in terms of the source correlation and of the signal-to-noise ratio (SNR) of the channel. In several cases the necessary conditions and sufficient conditions are shown to agree. In particular, we show that if the channel SNR is below a certain threshold, then an uncoded transmission scheme that ignores the feedback is optimal. Thus, below this SNR-threshold, feedback is useless. We also derive the optimal high-SNR asymptotics.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TIT.2010.2040870</doi><tpages>13</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Access methods and protocols, osi model Achievable distortion Applied sciences Asymptotic properties Channels Coding, codes combined source-channel coding correlated sources Covariance matrix Data transmission Distortion Exact sciences and technology Feedback Gaussian Gaussian channels Gaussian multiple-access channel with feedback Gaussian source H infinity control Information science Information technology Information theory Information, signal and communications theory mean squared-error distortion multiple-access channel with feedback Normal distribution Optimization Output feedback Radiocommunications Receivers Signal and communications theory Signal to noise ratio Sufficient conditions Telecommunications Telecommunications and information theory Teleprocessing networks. Isdn Transmitters Transmitters. Receivers uncoded transmission |
| title | Sending a Bivariate Gaussian Source Over a Gaussian MAC With Feedback |
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