$($i$)$ Conerent BFSK$,($ii$)$ Coherent MSK$,$ and $($iii$)$ Noncoherent BFSK

Q$\mathrm{.}5($b$)$ Consider the optimum binary detector as shown in Fig. $3.$ The received signal $r(t)=S(t)+n(t)$ corresponds to the bits $0$ and $1$ which

are equally probable and have equal energies. The signal $S(t)$ is antipodal and $($:$S_1(t)=$ACos$({}_{c}t)$;$0tT$