2 problems

Mutual-information concavity conjecture. The mutual information $I(X_1,X_2;Y_1,Y_2,Y_3)$ is concave in $(T_1,T_2,T_3)$. The conjecture concerns the sensing-time allocation in the t…

Consider the Poisson channel … with power constraint $\tfrac{1}{n}\sum_{t=1}^n x[t] \leq n^\alpha$. This is the Poisson channel with increasing power (PCIP). A normalized rate…