TY - GEN
T1 - On the equality condition for the i-mmse proof of the entropy power inequality
AU - Dytso, Alex
AU - Bustin, Ronit
AU - Poor, H. Vincent
AU - Shitz, Shlomo Shamai
N1 - Funding Information:
The work of A. Dytso and H.V. Poor was supported by the National Science Foundation under Grants CCF-1420575 and CNS-1456793. The work of S. Shamai and R.Bustin was supported by the Unions Horizon 2020 Research and Innovation Programme Grant 694630. The contents of this article are solely the responsibility of the authors and do not necessarily represent the official views of the funding agencies.
PY - 2018/1/17
Y1 - 2018/1/17
N2 - The paper establishes the equality condition in the I-MMSE proof of the entropy power inequality (EPI). This is done by establishing an exact expression for the deficit between the two sides of the EPI. Interestingly, a necessary condition for the equality is established by making a connection to the famous Cauchy functional equation.
AB - The paper establishes the equality condition in the I-MMSE proof of the entropy power inequality (EPI). This is done by establishing an exact expression for the deficit between the two sides of the EPI. Interestingly, a necessary condition for the equality is established by making a connection to the famous Cauchy functional equation.
UR - http://www.scopus.com/inward/record.url?scp=85048011449&partnerID=8YFLogxK
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U2 - 10.1109/ALLERTON.2017.8262851
DO - 10.1109/ALLERTON.2017.8262851
M3 - Conference contribution
AN - SCOPUS:85048011449
T3 - 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017
SP - 1034
EP - 1039
BT - 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017
Y2 - 3 October 2017 through 6 October 2017
ER -