Consider a system with input x and output y given by

y $=($h$\_1+$h$\_2)$x$+$n

where E$\{|$x$|^2\}=$ p$,$n~CN$(0,\backslash$sigma $^2)$ and the channel consists of two parts:i$)$ h$\_1$ is deterministic and known at the receiver, ii$)$ h$\_2$~CN$(0,\backslash$sigma $^2)(0,1)$ is random and its realization is unknown to the receiver and transmitter. Calculate the capacity of this channel.