題組內容

6. [20%] As shown in Figure 4, the transmitted signal has a binary number 6306e25156eec.jpg . The received signal is added by a random noise N with the probability density function (PDF) as depicted in the figure. The resultant signal Y is also binary and obtained with a sign-function as the decision threshold is at Z, i.e.,6306e26cafff0.jpg.6306e2893a4ea.jpg6306e29e3d57b.jpg

(c) Whether the case in (b) has smaller error probability than that in (a)? Do you think it could be a good communication policy to send the binary number with unequal probabilities based on minimum transmission error probability? Explain your reason. (5%)