GEL7114 - Module 2.10 - Probability of error (binary case)

Public webpage for this course's resources (exams, slides, exercises): https://wcours.gel.ulaval.ca/GEL7114/ GEL7114 Digital Communications Leslie A. Rusch Université Laval ECE Dept. Module 2 gives a precise receiver structure and develops signal space analysis to quantify performance of the receiver. In PartA of Module 2 we optimize performance by appropriate choices for various receiver blocks. We introduce the MAP and ML optimization criteria, including likelihood and a priori probabilities. We define the matched filter. We introduce signal space and use the Gram-Schmidt to find an example signal space basis. In PartB of Module 2 we quantify the bit error rate of a binary system using signal space analysis. We examine both BPSK and OOK. Finally, we introduce Nyquist pulses to avoid ISI. We use the raised cosine pulse in a practical exercise.