Up: Collected Problems Previous: Problem 9

Binary Signal Sets

Information bits are to be transmitted over an additive, white Gaussian noise channel (spectral height $\frac{N_0}{2}$ ) using the depicted signal set.

$\begin{picture} (100,50) \setlength {\unitlength}{1mm} \multiput(5,25)(50,0){... ...ine(1,0){20}} \put(75,5){\line(0,1){40}} \put(95,5){\line(0,1){20}}\end{picture}$

1.: Draw the block diagram of the minimum probability of error receiver. (2 pts.)
2.: Compute the probability of error attained by this receiver. (2 pts.)
3.: Repeat parts (a) and (b) for the following signal set: (2 pts.)
4.: Sketch and accurately label the two signal sets in appropriately chosen signal spaces. (2 pts.)
5.: Compare the results for the two signal sets and explain. (2 pts.)

Prof. Bernd-Peter Paris
3/2/1998