A M $=16$ square QAM communication system operates at a center frequency of $800$ MHz and has a symbol rate of $1\mathrm{.}25$ MSymbols$/$sec$.$ Assume the system uses SRRC pulse shaping with an $=0\mathrm{.}25.$ The system must achieve a required probability of bit error of $6105.($a$)$ Calculate the minimum C$/$N$0$ ratio to achieve the required probability of error. $($b$)$ Although we didn$$t cover this in class, the signal$-$to$-$noise ratio $($SNR$)$ is defined as the power ratio, C$/$N $,$ where N $=$ N$0$B$,$ where B is the bandwidth of the signal. Calculate the minimum required SNR in dB from your answer to $($a$).($c$)$ Find the range of this system. Assume the transmit power PT $=0\mathrm{.}01$ W $($that is$,10$ mW$),$ the antenna gains are GT $($dB$)=$ GR$($dB$)=2$ dB$,$ and that the receiver has a Teq $=1200$ K$.$ Assume the path loss exponent model for received power with np $=3\mathrm{.}0$ and reference distance R$0=1$ m$.$ Caution: Don$$t mistake linear units and dB $$ know which you are given and which you need to use.