Consider a relay network as shown below with two relays which detect the signals at their input,…

Consider a relay network as shown below with two relays
which detect the signals at their input, remodulate and forward them after
modulation. The SNRs in each hop are denoted by _i, i = 1,2,3, and the
corresponding error probabilities are pi, i = 1,2,3. The bit error probability
performance of the two relays and the receiver are assumed to be the same.

a. Calculate the error probability of this relay network in
terms of pi, i = 1,2,3.

b. Determine the error probability for pi = 0.001, i =
1,2,3.

c. Write down the expression for error probability for an N
relay network for the special

Consider a relay network as shown below with two relays
which detect the signals at their input, remodulate and forward them after
modulation. The SNRs in each hop are denoted by _i, i = 1,2,3, and the
corresponding error probabilities are pi, i = 1,2,3. The bit error probability
performance of the two relays and the receiver are assumed to be the same.

a. Calculate the error probability of this relay network in
terms of pi, i = 1,2,3.

b. Determine the error probability for pi = 0.001, i =
1,2,3.

c. Write down the expression for error probability for an N
relay network for the special case of p = pi, i = 1,2,..N, show that it reduces
to the result found in part (a) for this special case