Problem $3\mathrm{.}10$

If the system$$s main performance metric is BER, which of the following modulation schemes should be chosen in AWGN channel? Show your calculations:

$1.$ Comparison $1$:

$$ Binary non$-$coherent FSK at Eb$/$N$0=13$ dB$.$

$$ Binary coherent PSK at Eb$/$N$0=8$ dB$.2.$ Comparison $2$:

$$ Coherent $8$ary FSK at Eb$/$N$0=8$ dB$.$ Coherent $8$ary PSK at Eb$/$N$0=13$ dB$.$

Repeat the problem if the main performance metric is spectral efficiency.