2 problems

Consider the real additive white Gaussian noise sequence channel … where the noise coordinates are independent $N(0,N_0/2)$. An $(E,M,\epsilon)$ code has $M$ equiprobable messages,…

Let $N=2$ and suppose the conditional densities of the observation $Y$ given hypotheses $H=0$ and $H=1$ are … … where $\sigma$ and $h_1$ are arbitrary positive numbers, and let…