{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T06:40:16Z","timestamp":1718952016392},"reference-count":22,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2019,10,11]],"date-time":"2019-10-11T00:00:00Z","timestamp":1570752000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"This paper investigates the minimum mean square error (MMSE) of communicating a pair of Gaussian sources over a a bandwidth-matched Gaussian multiple-access channel with block Rayleigh fading in the absence of channel state information (CSI) at the transmitters. The achievable MMSE is not known. To this end, we derive several upper-bounds to the minimum achievable average MMSE as a function of the transmitter powers, the average channel fading power-to-noise ratio, and the correlation coefficient of the two sources. To derive nontrivial upper bounds which improve on those of separate source-channel coding and uncoded transmission, we incorporate ideas from joint source-channel coding and hybrid digital\u2013analog coding to construct specific coding schemes for which the achievable MMSE can be determined.<\/jats:p>","DOI":"10.3390\/e21100992","type":"journal-article","created":{"date-parts":[[2019,10,11]],"date-time":"2019-10-11T14:53:03Z","timestamp":1570805583000},"page":"992","source":"Crossref","is-referenced-by-count":2,"title":["On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI"],"prefix":"10.3390","volume":"21","author":[{"given":"Chathura","family":"Illangakoon","sequence":"first","affiliation":[{"name":"Department of ECE, University of Manitoba, Winnipeg, MB R3T 5V6, Canada"}]},{"ORCID":"http:\/\/orcid.org\/0000-0001-8495-1310","authenticated-orcid":false,"given":"Pradeepa","family":"Yahampath","sequence":"additional","affiliation":[{"name":"Department of ECE, University of Manitoba, Winnipeg, MB R3T 5V6, Canada"}]}],"member":"1968","published-online":{"date-parts":[[2019,10,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1247","DOI":"10.1109\/JPROC.2003.814918","article-title":"Sensor networks: Evolution, opportunities, and challenges","volume":"91","author":"Chong","year":"2003","journal-title":"Proc. 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Theory"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3255","DOI":"10.1109\/TIT.2007.903142","article-title":"Multiterminal Source\u2013Channel Communication Over an Orthogonal Multiple-Access Channel","volume":"53","author":"Xiao","year":"2007","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"904","DOI":"10.1109\/TIT.2013.2291787","article-title":"Optimality and Approximate Optimality of Source-Channel Separation in Networks","volume":"60","author":"Tian","year":"2014","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1938","DOI":"10.1109\/TIT.2008.920343","article-title":"Rate region of the quadratic Gaussian two-encoder source-coding problem","volume":"54","author":"Wagner","year":"2008","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Ray, S., M\u00e9dard, M., Effros, M., and Koetter, R. (2006, January 22\u201326). On Separation for multiple-access channels. Proceedings of the 2006 IEEE Information Theory Workshop\u2014ITW \u201906, Punta del Este, Uruguay.","DOI":"10.1109\/ITW2.2006.323829"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2714","DOI":"10.1109\/TIT.2010.2044058","article-title":"Sending a bi-variate Gaussian source over a Gaussian MAC","volume":"56","author":"Lapidoth","year":"2010","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1549","DOI":"10.1109\/18.623151","article-title":"The quadratic Gaussian CEO problem","volume":"43","author":"Viswanathan","year":"1997","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"5247","DOI":"10.1109\/TIT.2008.929967","article-title":"Uncoded transmission is exactly optimal for a simple Gaussian network","volume":"54","author":"Gastpar","year":"2008","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1109\/TIT.1965.1053821","article-title":"Theoretical Limitations on the Transmission of Data From Analog Sources","volume":"11","author":"Goblick","year":"1965","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3153","DOI":"10.1109\/TIT.2012.2184912","article-title":"Energy-Distortion Tradeoffs in Gaussian Joint Source-Channel Coding Problems","volume":"58","author":"Jain","year":"2012","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_15","unstructured":"Berger, T. (1977). Multiterminal source coding. The Information Theory Approach to Communication, Springer. CSIM Courses and Lecture Notes No. 229."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Narasimhan, R. (2007, January 24\u201329). Individual Outage Rate Regions for Fading Multiple Access Channels. Proceedings of the 2007 IEEE International Symposium on Information Theory, Nice, France.","DOI":"10.1109\/ISIT.2007.4557446"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1082","DOI":"10.1109\/18.995544","article-title":"Hybrid digital\u2013analog (HDA) joint source-channel codes for broadcasting and robust communication","volume":"48","author":"Mittal","year":"2002","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"3091","DOI":"10.1109\/TCOMM.2012.071912.110456","article-title":"Zero-delay joint source-channel coding for a bivariate Gaussian on a Gaussian MAC","volume":"60","author":"Floor","year":"2012","journal-title":"IEEE Trans. Commun."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1109\/LCOMM.2013.120413.132088","article-title":"Low-delay joint source-channel mappings for the Gaussian MAC","volume":"18","author":"Kron","year":"2018","journal-title":"IEEE Comm. Lett."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1824","DOI":"10.1109\/TCOMM.2015.2410774","article-title":"On joint source-channel coding for a multivariate Gaussian on a Gaussian MAC","volume":"63","author":"Floor","year":"2015","journal-title":"IEEE Trans. Commun."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1551","DOI":"10.1109\/18.119697","article-title":"Trellis-coded vector quantization","volume":"38","author":"Fischer","year":"1992","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_22","unstructured":"Yahampath, P., and Samarawickrama, U. (December, January 28). Joint source-channel decoding of convolutionally encoded multiple descriptions. Proceedings of the IEEE Global Telecommunications Conference, St. Louis, MO, USA."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/21\/10\/992\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T06:09:44Z","timestamp":1718950184000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/21\/10\/992"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,11]]},"references-count":22,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2019,10]]}},"alternative-id":["e21100992"],"URL":"https:\/\/doi.org\/10.3390\/e21100992","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,10,11]]}}}