dc.contributor.author | Calmon, Flavio P. | |
dc.contributor.author | Polyanskiy, Yury | |
dc.contributor.author | Wu, Yihong | |
dc.date.accessioned | 2016-01-27T17:26:39Z | |
dc.date.available | 2016-01-27T17:26:39Z | |
dc.date.issued | 2015-06 | |
dc.identifier.isbn | 978-1-4673-7704-1 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/101004 | |
dc.description.abstract | This work presents strong data processing results for the power-constrained additive Gaussian channel. Explicit bounds on the amount of decrease of mutual information under convolution with Gaussian noise are shown. The analysis leverages the connection between information and estimation (I-MMSE) and the following estimation-theoretic result of independent interest. It is proved that any random variable for which there exists an almost optimal (in terms of the mean-squared error) linear estimator operating on the Gaussian-corrupted measurement must necessarily be almost Gaussian (in terms of the Kolmogorov-Smirnov distance). | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (CAREER Award Grant CCF-12-53205) | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant IIS-1447879) | en_US |
dc.description.sponsorship | National Science Foundation (U.S.). Center for Science of Information (Grant Agreement CCF-09-39370) | en_US |
dc.language.iso | en_US | |
dc.publisher | Institute of Electrical and Electronics Engineers (IEEE) | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1109/ISIT.2015.7282918 | en_US |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
dc.source | MIT web domain | en_US |
dc.title | Strong data processing inequalities in power-constrained Gaussian channels | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Calmon, Flavio P., Yury Polyanskiy, and Yihong Wu. “Strong Data Processing Inequalities in Power-Constrained Gaussian Channels.” 2015 IEEE International Symposium on Information Theory (ISIT) (June 2015). | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science | en_US |
dc.contributor.mitauthor | Calmon, Flavio P. | en_US |
dc.contributor.mitauthor | Polyanskiy, Yury | en_US |
dc.relation.journal | Proceedings of the 2015 IEEE International Symposium on Information Theory (ISIT) | en_US |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/ConferencePaper | en_US |
eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
dspace.orderedauthors | Calmon, Flavio P.; Polyanskiy, Yury; Wu, Yihong | en_US |
dc.identifier.orcid | https://orcid.org/0000-0003-2912-7972 | |
dc.identifier.orcid | https://orcid.org/0000-0002-2109-0979 | |
mit.license | OPEN_ACCESS_POLICY | en_US |