Bayes_ML_MAP_receiver

[pulsedia]

create signal modulated by BPSK, and enclose it in
receiver via the channel additive white Gaussian noise.

 

[pulsedia]

Did anyone knows in the receiver code how to add Bayes Map Ml criteria code?

 

[iamaeag]

Hi pulsedia,
The MAP(Bayes) receiver is already implemented from your code. You may see the following criterion.
1): MAP receiver: p(s|y) = p(y|s)p(s) / p.
y = s+n.
Where s is i.i.d signal, n is i.i.d. and AWGN, and y is the received signal.

2): According to the MAP criterion, we further make one assumption to 1), <=== you can see it from your code to the "Transmitter".

3): According to 2), We can get that maximizing p(s|y) is equivalent to maximizing to p(y|s), and we define p(y|s) as maximum likelihood function.
Finally we get the hard decision receiver based on when { p(y>0), s=1 } and { p(y<0), s = 0 }.

If you want to realize MAP receiver, back to 2) and change the assumption. You may realize another receiver according to the MAP criterion.

ps: please feel free to correct my reply.