5 papers
Higher Order Derivatives in Costa's Entropy Power Inequality
Fan Cheng, Yanlin Geng
Let be an arbitrary continuous random variable and be an independent Gaussian random variable with zero mean and unit variance. For , Costa proved that $e^{2h(X+\sqr…
The capacity region of the two-receiver vector Gaussian broadcast channel with private and common messages
Yanlin Geng, Chandra Nair
We develop a new method for showing the optimality of the Gaussian distribution in multiterminal information theory problems. As an application of this method we show that Marton's…
The capacity region of classes of product broadcast channels
Yanlin Geng, Amin Gohari, Chandra Nair +1
We establish a new outer bound for the capacity region of product broadcast channels. This outer bound matches Marton's inner bound for a variety of classes of product broadcast ch…
On broadcast channels with binary inputs and symmetric outputs
Yanlin Geng, Chandra Nair, Shlomo Shamai +1
We study the capacity regions of broadcast channels with binary inputs and symmetric outputs. We study the partial order induced by the more capable ordering of broadcast channels…
An information inequality and evaluation of Marton's inner bound for binary input broadcast channels
Chandra Nair, Zizhou Vincent Wang, Yanlin Geng
We establish an information inequality that is intimately connected to the evaluation of the sum rate given by Marton's inner bound for two receiver broadcast channels with a binar…