Q$3)(15$p$)$ Consider the downlink of a WiMAX $($IEEE $802\mathrm{.}16$d$)$ system with sensitivity and channel bandwidth specification table as shown below. The output power of the TX amplifier is $10$ W $.$ The TX antenna gain is $10$ dB $,$ the losses in connectors, combiners, etc. are $3$ dB $.$ The fading margin is $5$ dB $.$ Assume for $d>d_0,P_r(d)=P_r(d_0)(\frac{d}{d_0}{)}^{-}n{d}_0=100m\frac{1}{2}\frac{3}{4}\frac{1}{2}-77\mathrm{.}4-87\mathrm{.}7-828-71\mathrm{.}3-81\mathrm{.}3-83\mathrm{.}0-80\mathrm{.}0d$ and for $d>d_0,P_r(d)=P_r(d_0)(\frac{d}{d_0}{)}^{-}$ where $nis$ the path loss exponent $3\mathrm{.}5$ and $d_0=100m.$ Answer the following questions.

$(a)$ What $is$ the distance can $be$ covered, $if$ carrier frequency $is2\mathrm{.}3GHz$ and modulation $is\frac{1}{2}BPSK$ with channel bandwidth $3\mathrm{.}5MHz?$

$(b)If3-dB$ implementation loss $is$ allowed, what $is$ the maximum tolerable receiver noise figure $at$ the given $SNR?$

$(c)$ What $is$ the maximum tolerable level $of$ adjacent channel interference $(no$ blocking $or$ desensitization effect$)if$ the receiver input $IP3is-15dBm?$

$\begin{array}{cc}\text{B}\text{a}\text{n}\text{d}\text{w}\text{i}\text{t}\text{h}& \text{M}\text{o}\text{d}\text{u}\text{l}\text{a}\text{t}\text{i}\text{o}\text{n}\text{a}\text{n}\text{d}\text{c}\text{o}\text{d}\text{i}\text{n}\text{g}\text{r}\text{a}\text{t}\text{e}\\ ?& ?\\ ?& ?\\ ?& ?\\ BPSK& \text{O}\text{P}\text{S}\text{K}\\ 160AM& 64\text{Q}\text{A}\text{M}\\ ?& ?\\ ?& ?\\ \frac{1}{2}& \frac{1}{2}\\ \frac{3}{4}& \frac{1}{2}\\ \frac{3}{4}& \frac{2}{3}\\ \frac{3}{4}& ?\\ 175MHz& -93\mathrm{.}7\\ -90\mathrm{.}7& -88\mathrm{.}9\\ -83\mathrm{.}7& -81\mathrm{.}9\\ -77\mathrm{.}4& -75\mathrm{.}7\\ 35MHz70MHz& -90\mathrm{.}7\\ -87\mathrm{.}7& -859\\ -80\mathrm{.}7& -78\mathrm{.}9\\ -74\mathrm{.}4& -72\mathrm{.}7\\ 7\mathrm{.}0MHz& -87\mathrm{.}6\\ -84\mathrm{.}6& -828\\ -77\mathrm{.}6& -75\mathrm{.}8\\ -71\mathrm{.}3& -69\mathrm{.}6\\ 10\mathrm{.}0MHz200MHz& -86\mathrm{.}1\\ -83\mathrm{.}1& -81\mathrm{.}3\\ -76\mathrm{.}1& -74\mathrm{.}3\\ ?& -68\mathrm{.}1\\ 200MHt& -83\mathrm{.}0\\ -80\mathrm{.}0& -78\mathrm{.}2\\ -73\mathrm{.}0& -71\mathrm{.}2\\ -69\mathrm{.}8-66\mathrm{.}7& -68\mathrm{.}1\\ BXSNR(dB)& 6\mathrm{.}4\\ 9\mathrm{.}4& 11\mathrm{.}2\\ 16\mathrm{.}4& 18\mathrm{.}2\\ 22\mathrm{.}7& 24\mathrm{.}4\end{array}$