$4\mathrm{.}15$ Find the NP detector and its performance for the detection of a known sig$-$

nal $s[n]=$A for $n=0,1,$dots,$N-1,$ where $A>0,$ in correlated Gaus$-$

sian noise. The $N1$ noise vector is characterized by $wN(0,C),$ where

$C={}^2$diag$(1,r,$dots,$r^{N-1})$ and $r>0.$ What happens as $N?$