Please submit a printout of your MATLAB program, the BER obtained in your simulation (how many "trials" should you perform to get accurate results?), and a comparison with the analytical BER. Also include a clear and complete explanation of how your receiver makes decisions and how the BER is computed analytically.
Modify your simulation program so that each bit is transmitted three times, with independent noise added on each transmission. Make your "overall" decision for each bit as the majority of the three individual decisions. What is the BER for this system, based on your simulation? Please derive the analytical BER for this system, and compare with your simulation result. For some hints on the analysis of this system, refer to Section 1.9, and Example 1.36 in particular. Or, you can just look at the sample space of repeating the experiment three independent times.