next up previous
Next: Sub-Optimum Receiver Up: Collected Problems Previous: Problem 11

Problem 12

One of two equally likely messages, $m_0$ or $m_1$ is to be transmitted over an additive white Gaussian noise channel by means of the two signals

s_0(t) =&
...} \\
0; & \mbox{ elsewhere,}
\end{array} \right.

where $T=2ms$, $f_1=1MHz$, and $\Delta=250Hz$. The noise has power density spectrum $N_0/2$. Calculate the probability of error as a function of $E_s/N_0$. Repeat for $\Delta=500Hz$.

Dr. Bernd-Peter Paris