Use Matlab to perform the below project.

Project statement:

It is desired to transmit $100000$ binary bits at a rate of $1bi\frac{t}{sec},$ though a Gaussian channel with mean

zero and variance ${}_n^2.$ The binary data is encoded using the two dimensional product code product as

shown below. The transmitted codeword symbols are represented by $C=d_1{d}_2{d}_3{d}_4{p}_{1h}{p}_{2h}{p}_{1v}{p}_{2v},$

where the received codeword symbols are represented by $r,$ where $r$ is given by

$r=C+n,$

After building the system, perform the following task

a$.$ measure the error rate without coding for ${}_n^2=0\mathrm{.}1,1\mathrm{.}3$

b$.$ measure the error rate using iterative decoding for the one iteration and two iterations for the

following noise variances ${}_n^2=0\mathrm{.}01,0\mathrm{.}05,0\mathrm{.}09,0\mathrm{.}1,0\mathrm{.}5,0\mathrm{.}8,1\mathrm{.}0,1\mathrm{.}3,1\mathrm{.}5.$

c$.$ what is the coding gain when ${}_n^2=0\mathrm{.}1,1\mathrm{.}3.$

d$.$ Plot the bit error rate vs$.{}_n^2$ for part $($b$).$

the below Matlab instructions can help in setting up the complete code.