On the equality condition for the i-mmse proof of the entropy power inequality

Alex Dytso; Ronit Bustin; H. Vincent Poor; Shlomo Shamai Shitz

doi:10.1109/ALLERTON.2017.8262851

On the equality condition for the i-mmse proof of the entropy power inequality

Alex Dytso, Ronit Bustin, H. Vincent Poor, Shlomo Shamai Shitz

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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.

Original language	English (US)
Title of host publication	55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1034-1039
Number of pages	6
ISBN (Electronic)	9781538632666
DOIs	https://doi.org/10.1109/ALLERTON.2017.8262851
State	Published - Jan 17 2018
Event	55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017 - Monticello, United States Duration: Oct 3 2017 → Oct 6 2017

Publication series

Name	55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017
Volume	2018-January

Other

Other	55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017
Country	United States
City	Monticello
Period	10/3/17 → 10/6/17

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Hardware and Architecture
Signal Processing
Energy Engineering and Power Technology
Control and Optimization

Access to Document

10.1109/ALLERTON.2017.8262851

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Dytso, A., Bustin, R., Poor, H. V., & Shitz, S. S. (2018). On the equality condition for the i-mmse proof of the entropy power inequality. In 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017 (pp. 1034-1039). (55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ALLERTON.2017.8262851

Dytso, Alex ; Bustin, Ronit ; Poor, H. Vincent ; Shitz, Shlomo Shamai. / On the equality condition for the i-mmse proof of the entropy power inequality. 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 1034-1039 (55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017).

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Dytso, A, Bustin, R, Poor, HV & Shitz, SS 2018, On the equality condition for the i-mmse proof of the entropy power inequality. in 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017. 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017, vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 1034-1039, 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017, Monticello, United States, 10/3/17. https://doi.org/10.1109/ALLERTON.2017.8262851

On the equality condition for the i-mmse proof of the entropy power inequality. / Dytso, Alex; Bustin, Ronit; Poor, H. Vincent; Shitz, Shlomo Shamai.

55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1034-1039 (55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017; Vol. 2018-January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Dytso A, Bustin R, Poor HV, Shitz SS. On the equality condition for the i-mmse proof of the entropy power inequality. In 55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1034-1039. (55th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2017). https://doi.org/10.1109/ALLERTON.2017.8262851