5 Optimal Receivers and Probability of Error for AWGN
5.1 What You Will Learn
5.1.1 Probability distribution of received signal at AWGN output
5.1.2 Using symbol-based simulations for AWGN
5.2 Detection Theory and Probability of Error for AWGN Channels
5.3 MAP and ML Receivers for Symbol-by-Symbol Decisions
5.4 MAP and ML Receivers for Symbol Sequences in Dispersive Channels
5.5 Estimating Probability of Error for PAM
5.5.1 The union bound
5.6 Estimating Probability of Error for QAM
5.6.1 Estimating probability of error for PSK
5.6.2 Statistical validity of error probability estimations
5.7 Comparing modulation schemes
5.8 The Gap Approximation
5.8.1 The PAM 6-dB rule: each extra bit requires 6 dB
5.8.2 The QAM 3-dB rule: each extra bit requires 3 dB
5.9 Comments and Further Reading
5.10 Review Exercises
5.11 Exercises
5.1.1 Probability distribution of received signal at AWGN output
5.1.2 Using symbol-based simulations for AWGN
5.2 Detection Theory and Probability of Error for AWGN Channels
5.3 MAP and ML Receivers for Symbol-by-Symbol Decisions
5.4 MAP and ML Receivers for Symbol Sequences in Dispersive Channels
5.5 Estimating Probability of Error for PAM
5.5.1 The union bound
5.6 Estimating Probability of Error for QAM
5.6.1 Estimating probability of error for PSK
5.6.2 Statistical validity of error probability estimations
5.7 Comparing modulation schemes
5.8 The Gap Approximation
5.8.1 The PAM 6-dB rule: each extra bit requires 6 dB
5.8.2 The QAM 3-dB rule: each extra bit requires 3 dB
5.9 Comments and Further Reading
5.10 Review Exercises
5.11 Exercises