{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,30]],"date-time":"2025-08-30T17:08:42Z","timestamp":1756573722569,"version":"3.37.3"},"reference-count":72,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2016,10,1]],"date-time":"2016-10-01T00:00:00Z","timestamp":1475280000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"name":"University Grants Committee, Hong Kong","award":["AoE\/E-02\/08"],"award-info":[{"award-number":["AoE\/E-02\/08"]}]},{"name":"Research Grants Council, Hong Kong","award":["17301814"],"award-info":[{"award-number":["17301814"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2016,10]]},"DOI":"10.1109\/tit.2016.2596281","type":"journal-article","created":{"date-parts":[[2016,7,28]],"date-time":"2016-07-28T14:20:06Z","timestamp":1469715606000},"page":"5422-5445","source":"Crossref","is-referenced-by-count":11,"title":["Extensions of the I-MMSE Relationship to Gaussian Channels With Feedback and Memory"],"prefix":"10.1109","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9895-5646","authenticated-orcid":false,"given":"Guangyue","family":"Han","sequence":"first","affiliation":[]},{"given":"Jian","family":"Song","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"doi-asserted-by":"publisher","key":"ref72","DOI":"10.1109\/18.2600"},{"doi-asserted-by":"publisher","key":"ref71","DOI":"10.1109\/TIT.2005.853297"},{"doi-asserted-by":"publisher","key":"ref70","DOI":"10.1109\/TIT.2006.890728"},{"doi-asserted-by":"publisher","key":"ref39","DOI":"10.1109\/TIT.2006.876220"},{"doi-asserted-by":"publisher","key":"ref38","DOI":"10.1017\/CBO9780511626302"},{"year":"1991","author":"karatzas","journal-title":"Brownian Motion and Stochastic Calculus","key":"ref33"},{"doi-asserted-by":"publisher","key":"ref32","DOI":"10.1109\/TIT.1971.1054670"},{"doi-asserted-by":"publisher","key":"ref31","DOI":"10.1109\/ISIT.2014.6875226"},{"doi-asserted-by":"publisher","key":"ref30","DOI":"10.1142\/1676"},{"doi-asserted-by":"publisher","key":"ref37","DOI":"10.1109\/ISIT.2014.6875268"},{"year":"2001","author":"liptser","journal-title":"Statistics of Random Processes I General Theory","key":"ref36"},{"doi-asserted-by":"publisher","key":"ref35","DOI":"10.1109\/TIT.2016.2555809"},{"doi-asserted-by":"publisher","key":"ref34","DOI":"10.1109\/TIT.2009.2034816"},{"doi-asserted-by":"publisher","key":"ref60","DOI":"10.1109\/TIT.2008.2008147"},{"doi-asserted-by":"publisher","key":"ref62","DOI":"10.1109\/18.978730"},{"doi-asserted-by":"publisher","key":"ref61","DOI":"10.1002\/ett.4460100604"},{"doi-asserted-by":"publisher","key":"ref63","DOI":"10.1109\/TIT.2010.2050800"},{"year":"1993","author":"hida","journal-title":"Gaussian Processes","key":"ref28"},{"doi-asserted-by":"publisher","key":"ref64","DOI":"10.1109\/TIT.2006.872978"},{"doi-asserted-by":"publisher","key":"ref27","DOI":"10.1109\/ISIT.2014.6875224"},{"doi-asserted-by":"publisher","key":"ref65","DOI":"10.1109\/TIT.2010.2054430"},{"doi-asserted-by":"publisher","key":"ref66","DOI":"10.1109\/TIT.2012.2227677"},{"doi-asserted-by":"publisher","key":"ref29","DOI":"10.1109\/18.6015"},{"doi-asserted-by":"publisher","key":"ref67","DOI":"10.1214\/105051607000000131"},{"doi-asserted-by":"publisher","key":"ref68","DOI":"10.1109\/TIT.2011.2174959"},{"doi-asserted-by":"publisher","key":"ref69","DOI":"10.1109\/ISIT.2011.6033761"},{"doi-asserted-by":"publisher","key":"ref2","DOI":"10.1109\/TIT.2011.2172572"},{"doi-asserted-by":"publisher","key":"ref1","DOI":"10.1109\/JSAC.2014.140503"},{"key":"ref20","first-page":"719","article-title":"Additive non-Gaussian noise channels: Mutual information and conditional mean estimation","author":"guo","year":"2005","journal-title":"Proc IEEE ISIT"},{"doi-asserted-by":"publisher","key":"ref22","DOI":"10.1561\/2000000018"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"1837","DOI":"10.1109\/TIT.2008.920206","article-title":"Mutual information and conditional mean estimation in Poisson channels","volume":"54","author":"guo","year":"2008","journal-title":"IEEE Trans Inf Theory"},{"doi-asserted-by":"publisher","key":"ref24","DOI":"10.1109\/TIT.2006.885481"},{"doi-asserted-by":"publisher","key":"ref23","DOI":"10.1109\/TIT.2011.2111010"},{"doi-asserted-by":"publisher","key":"ref26","DOI":"10.1109\/TIT.2015.2423558"},{"doi-asserted-by":"publisher","key":"ref25","DOI":"10.1214\/08-AAP570"},{"year":"1964","author":"pinsker","journal-title":"Information and Information Stability of Random Variables and Processes","key":"ref50"},{"year":"2010","author":"royden","journal-title":"Real Analysis","key":"ref51"},{"doi-asserted-by":"publisher","key":"ref59","DOI":"10.1109\/ISIT.2014.6875225"},{"doi-asserted-by":"publisher","key":"ref58","DOI":"10.1109\/TIT.2014.2307070"},{"doi-asserted-by":"publisher","key":"ref57","DOI":"10.1016\/S0019-9958(59)90348-1"},{"doi-asserted-by":"publisher","key":"ref56","DOI":"10.1016\/S0019-9958(71)90346-9"},{"doi-asserted-by":"publisher","key":"ref55","DOI":"10.1109\/JRPROC.1949.232969"},{"doi-asserted-by":"publisher","key":"ref54","DOI":"10.1109\/18.104314"},{"key":"ref53","first-page":"6","article-title":"From constrained signaling to network interference alignment via an information-estimation perspective","volume":"62","author":"shamai (shitz)","year":"2012","journal-title":"IEEE Inf Theory Soc Newslett"},{"doi-asserted-by":"publisher","key":"ref52","DOI":"10.1109\/TIT.1966.1053879"},{"doi-asserted-by":"publisher","key":"ref10","DOI":"10.3150\/bj\/1126126767"},{"doi-asserted-by":"publisher","key":"ref11","DOI":"10.1109\/18.32166"},{"year":"1994","author":"mao","journal-title":"Exponential Stability of Stochastic Differential Equations","key":"ref40"},{"doi-asserted-by":"publisher","key":"ref12","DOI":"10.1137\/0119020"},{"doi-asserted-by":"publisher","key":"ref13","DOI":"10.1109\/18.42223"},{"doi-asserted-by":"publisher","key":"ref14","DOI":"10.1109\/TIT.2008.928995"},{"doi-asserted-by":"publisher","key":"ref15","DOI":"10.1109\/TIT.2009.2034800"},{"doi-asserted-by":"publisher","key":"ref16","DOI":"10.1017\/CBO9780511779398"},{"doi-asserted-by":"publisher","key":"ref17","DOI":"10.1002\/j.1538-7305.1970.tb04286.x"},{"doi-asserted-by":"publisher","key":"ref18","DOI":"10.1214\/aop\/1176988743"},{"doi-asserted-by":"publisher","key":"ref19","DOI":"10.1109\/TIT.2005.844072"},{"doi-asserted-by":"publisher","key":"ref4","DOI":"10.1109\/TIT.2012.2225405"},{"doi-asserted-by":"publisher","key":"ref3","DOI":"10.1109\/ISIT.2009.5205967"},{"doi-asserted-by":"publisher","key":"ref6","DOI":"10.1109\/EEEI.2010.5661978"},{"year":"2015","author":"bustin","article-title":"The effect of maximal rate codes on the interfering message rate","key":"ref5"},{"doi-asserted-by":"publisher","key":"ref8","DOI":"10.1109\/18.42174"},{"doi-asserted-by":"publisher","key":"ref7","DOI":"10.1109\/TIT.1985.1057105"},{"doi-asserted-by":"publisher","key":"ref49","DOI":"10.1002\/ett.1130"},{"year":"2006","author":"cover","journal-title":"Elements of Information Theory","key":"ref9"},{"doi-asserted-by":"publisher","key":"ref46","DOI":"10.1109\/TIT.2006.889728"},{"doi-asserted-by":"publisher","key":"ref45","DOI":"10.1109\/TIT.2005.860424"},{"doi-asserted-by":"publisher","key":"ref48","DOI":"10.1109\/WCSP.2011.6096964"},{"doi-asserted-by":"publisher","key":"ref47","DOI":"10.1109\/TIT.2009.2023749"},{"key":"ref42","first-page":"303","article-title":"Causality, feedback and directed information","author":"massey","year":"1990","journal-title":"Proc Int Symp Inf Theory Appl"},{"doi-asserted-by":"publisher","key":"ref41","DOI":"10.1533\/9780857099402"},{"key":"ref44","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03185-8","author":"\u00f8ksendal","year":"1995","journal-title":"Stochastic Differential Equations An Introduction with Applications"},{"key":"ref43","article-title":"Constrained systems and coding for recording channels","author":"marcus","year":"1998","journal-title":"Handbook of Coding Theory"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/7565673\/07524799.pdf?arnumber=7524799","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:42:44Z","timestamp":1641987764000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7524799\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,10]]},"references-count":72,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/tit.2016.2596281","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2016,10]]}}}