Coherent and Non-Coherent On-Off Keying

© 2021 Institute for Communications Engineering, Technical University of Munich
Authors: Carolin Mirschina & Tasnad Kernetzky
$\rm{\textbf{Input Parameter}}$
$\sigma_\rm{AWGN}$ $ =0.5 $
$s_0 = 2 $
$E_{\rm{S}}/N_0 = \frac{s_0^2}{4 \cdot \sigma^2_\rm{AWGN}} = $
$4 $
$G =1 $
$\rm{Optimum \ threshold}$
$\rm{coherent}$
$\rm{non}$-$\rm{coherent}$
$\rm{non}$-$\rm{coherent / approximation}$

12345−1−20.511.52
$\eta$
$1/2 \cdot \rm{Gauss \ around}$ $s_1$
$1/2 \cdot \rm{Gauss \ around}$ $s_0$
$s_1$
$s_0$
$\rm{G}$
$\rm{\textbf{Probabilities}}$
$\rm{Pr}(\boldsymbol{r_0} \cap \boldsymbol{s_1}) = $
$1.14\ \% $
$\rm{Pr}(\boldsymbol{r_1} \cap \boldsymbol{s_0}) =$
$1.14\ \% $
$p_{\rm{S}} = \rm{Pr}(\boldsymbol{r}\ne \boldsymbol{s}) =$
$2.28\ \% $
Exercises