The normalized message signal $m_n(t)$ has a bandwidth of $5000$ Hz and power of $0\mathrm{.}1$ W $,$ and the channel has a bandwidth of $100$ KHz and attenuation of $80$ dB $.$ The noise is white with power$-$spectral density $0\mathrm{.}5{10}^{-12}\frac{W}{H}z$ and the transmitter power is $10$ KW $.$

If AM with $a=0\mathrm{.}8$ is employed what is $(\frac{S}{N}{)}_o?$

If FM is employed what is the highest possible $(\frac{S}{N}{)}_o?$