An Entropy Power Inequality for Discrete Random Variables

Ehsan Nekouei, Mikael Skoglund, Karl Henrik Johansson

Let ${\mathsf{N}}_{\mathrm{d}}\left[X\right]=\frac{1}{2\pi \mathrm{e}}{\mathrm{e}}^{2\mathsf{H}\left[X\right]}$ denote the entropy power of the discrete random variable $X$ where $\mathsf{H}\left[X\…