Bandwidth Efficiency MCQ Quiz - Objective Question with Answer for Bandwidth Efficiency - Download Free PDF

When the orthogonal signals of an $\mathrm{M}-\mathrm{a}\mathrm{r}\mathrm{y}\mathrm{F}\mathrm{S}\mathrm{K}$ signal are detected coherently, the adjacent signals need only be separated from each other by a frequency difference $1/2\mathrm{T}$ so as to maintain orthogonality. This is the minimum separation and hence the minimum bandwidth possible for $\mathrm{M}-\mathrm{a}\mathrm{r}\mathrm{y}\mathrm{F}\mathrm{S}\mathrm{K}$. Now, bandwidth efficiency $\rho =\frac{{\mathrm{R}}_{\mathrm{b}}}{\mathrm{B}\mathrm{W}}$

For $\mathrm{M}-\mathrm{a}\mathrm{r}\mathrm{y}\mathrm{F}\mathrm{S}\mathrm{K}$ $\rho =\frac{\frac{{\log }_2\mathrm{M}}{\mathrm{T}}}{\frac{\mathrm{M}}{2\mathrm{T}}}=\frac{2{\log }_2\mathrm{M}}{\mathrm{M}}$

Thus, $\rho =\frac{2{\log }_{2}8}{8}=\frac{2\times 3}{8}=0.75$.