Suppose we have developed a single$-$carrier system. Our system uses $16-$QAM to transmit bits $($error free$)$ at a rate $R_d=4$Mbi$\frac{t}{s}.$

i$.$ What is the symbol rate of the single carrier system?

ii$.$ Now, suppose we send our signal through a channel with impulse response $h(t)$ to the right. What is $\frac{?}{\text{b}\text{a}\text{r}}()$ and ${}_{rms}$ for this channel?

iii. Is the channel frequency flat or frequency selective? $($Hint: which channel corresponds to the signal observing intersymbol interference $($ISI$)?)$

Now suppose that, after testing, we have found the single carrier system with equalization to be unsuitable due to noise amplification and complexity limitations$.$ Instead, we must design an OFDM system to achieve the same data rate in the same bandwidth.

iv$.$ What length of guard interval$/$CP is needed to mitigate the ISI in the channel?

Round your answer to the nearest $0\mathrm{.}5s.$

v$.$ If we set the duration of $T_{GI}$ to $10\%$ of the symbol interval $T_b^{},$ what is $T_{FFT}?$

vi$.$ How long does it take to transmit a single ensemble OFDM symbol?

$h(t)={\displaystyle \underset{i}{\overset{?}{}}}{h}_i(t-{}_i)$

$\backslash$table$[[,,],[,,],[,,],[$Index $i,h_i,{}_i$