$((((((((((((((((((((((((((((($please make sure you provide the correct answer and not from an artificialintelligence :$)))))))))))))))))))))))))))))$

Question $2$:

$(30$ marks$)$

Consider three UE $($user equipment$)$ A$,$ B and C$,$ using respectively the following codes:

A: $,(1,1,x,-1)$

B: $,(y,1,-1,1)$

C: $,(1,-1,-1,1).$

A and $B$ want to send simultaneously the following binary information:

A: $0,1$

B: $10$

$C$ is not sending any data.

a$)$ Calculate the values of $x$ and $y.$

$(5$ marks$)$

b$)$ What will be the encoded data for A and B$?$ Explain your answer.

$(10$ marks$)$

c$)$ What will be the superposition of the encoded data of A and B$?$

$(5$ marks$)$

d$)$ The NodeB receives the superposed data and wants to separate B$\text{'}$s data from A$\text{'}$s data

using their corresponding codes. Explain how this can be performed.

$(10$ marks$)$