On the equality condition for the I-MMSE proof of the entropy power inequality
On the equality condition for the I-MMSE proof of the entropy power inequality
复制标题
论熵幂不等式的I-MMSE证明的等式条件
DOI：
--
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
S. Shamai
中科院分区：
文献类型：
--
作者：
Alex Dytso;R. Bustin;H. Poor;S. Shamai
论文建立了熵幂不等式(EPI)的I-MMSE证明中的等式条件。这是通过建立 EPI 两侧之间赤字的精确表达式来完成的。有趣的是，通过与著名的柯西函数方程建立联系，建立了等式的必要条件。
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.