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Question: Hello! I need help doing my project. Please answer all the questions below and the matlab simulat...

Hello! I need help with this problem. Please answer all the questions below and the matlab simulation. Thanks!

In a binary communication system, the probability of transmitting a “1” and “0” are 0.4 and 0.6, respectively. Relays are needed for long distance transmissions. Suppose that each transmission-reception has an error rate of p1=0.1.

(a) Predict the probability of getting a "0" after many relays (say 60) before your simulation.

(b) Plot the probability of getting a 0 as a function of number of relays, nr, for nr=1:40. Does the result agree with your prediction? Why?

(c) If a "0" is transmitted, what is the requirement on the error rate for each transmission-reception such that we have a 95% probability of correctly receiving it after 20 relays? Justify your error rate with calculations.

(d) Run a simulation to verify your result, if there is a discrepancy between your calculation and the simulation, discuss the reason(s) for such a discrepancy.

Explanation / Answer

P(1)=0.4

P(0)=0.6

each transmission -reception has an error rate of p1=0.1

(a) after 60 relay probability of getting 0 is;

P(0)=0.6*0.1/60

=0.001

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