{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:35:30Z","timestamp":1760240130674,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2019,2,23]],"date-time":"2019-02-23T00:00:00Z","timestamp":1550880000000},"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":"<jats:p>Consider a symmetric multivariate Gaussian source with \u2113 components, which are corrupted by independent and identically distributed Gaussian noises; these noisy components are compressed at a certain rate, and the compressed version is leveraged to reconstruct the source subject to a mean squared error distortion constraint. The rate-distortion analysis is performed for two scenarios: centralized encoding (where the noisy source components are jointly compressed) and distributed encoding (where the noisy source components are separately compressed). It is shown, among other things, that the gap between the rate-distortion functions associated with these two scenarios admits a simple characterization in the large \u2113 limit.<\/jats:p>","DOI":"10.3390\/e21020213","type":"journal-article","created":{"date-parts":[[2019,2,25]],"date-time":"2019-02-25T03:06:52Z","timestamp":1551064012000},"page":"213","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Asymptotic Rate-Distortion Analysis of Symmetric Remote Gaussian Source Coding: Centralized Encoding vs. Distributed Encoding"],"prefix":"10.3390","volume":"21","author":[{"given":"Yizhong","family":"Wang","sequence":"first","affiliation":[{"name":"College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China"}]},{"given":"Li","family":"Xie","sequence":"additional","affiliation":[{"name":"Department of Electrical System of Launch Vehicle, Institute of Aerospace System Engineering Shanghai, Shanghai Academy of Spaceflight Technology, Shanghai 201109, China"}]},{"given":"Siyao","family":"Zhou","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, ON L8S 4K1, Canada"}]},{"given":"Mengzhen","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, ON L8S 4K1, Canada"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8084-9332","authenticated-orcid":false,"given":"Jun","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China"},{"name":"Department of Electrical and Computer Engineering, McMaster University, Hamilton, ON L8S 4K1, Canada"}]}],"member":"1968","published-online":{"date-parts":[[2019,2,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"887","DOI":"10.1109\/18.490552","article-title":"The CEO problem","volume":"42","author":"Berger","year":"1996","journal-title":"IEEE Trans. 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Proceedings of the IEEE International Symposium onInformation Theory, Chicago, IL, USA."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1109\/JSAC.2004.830888","article-title":"An upper bound on the sum-rate distortion function and its corresponding rate allocation schemes for the CEO problem","volume":"22","author":"Chen","year":"2004","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2577","DOI":"10.1109\/TIT.2005.850110","article-title":"Rate-distortion theory for Gaussian multiterminal source coding systems with several side informations at the decoder","volume":"51","author":"Oohama","year":"2005","journal-title":"IEEE Trans. Inf. 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Theory"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"6003","DOI":"10.1109\/TCOMM.2018.2863377","article-title":"Analysis and code design for the binary CEO problem under logarithmic loss","volume":"66","author":"Nangir","year":"2018","journal-title":"IEEE Trans. Commun."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Ugur, Y., Aguerri, I.-E., and Zaidi, A. (arXiv, 2018). Vector Gaussian CEO problem under logarithmic loss and applications, arXiv.","DOI":"10.1109\/ITW.2018.8613480"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Nangir, M., Asvadi, R., Chen, J., Ahmadian-Attari, M., and Matsumoto, T. (arXiv, 2018). Successive Wyner-Ziv coding for the binary CEO problem under logarithmic loss, arXiv.","DOI":"10.1109\/BSC.2018.8494701"},{"key":"ref_19","unstructured":"Wang, Y., Xie, L., Zhang, X., and Chen, J. (arXiv, 2018). Robust distributed compression of symmetrically correlated Gaussian sources, arXiv."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Chen, J., Xie, L., Chang, Y., Wang, J., and Wang, Y. (arXiv, 2017). Generalized Gaussian multiterminal source coding: The symmetric case, arXiv.","DOI":"10.1109\/ISIT.2018.8437524"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1109\/TIT.1962.1057738","article-title":"Information transmission with additional noise","volume":"8","author":"Dobrushin","year":"1962","journal-title":"IRE Trans. Inf. Theory"},{"key":"ref_22","unstructured":"Cover, T., and Thomas, J.A. (1991). 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