Topical Outline
ECE4601: Communication Systems

Topical Outline

• Introduction
• Review of Probability and Random Processes
• Basics of Probability A1.1, A1.2
• Statistical Averages A1.3
• Some Useful Distributions A1.3
• Random Processes 1.1-1.3
• Statistical Characterization of Random Processes 1.1-1.3, 1.5
• Random Processes Through Linear Systems 1.6
• Power Spectral Density 1.7
• Gaussian Random Processes 1.8
• Noise and Its Representation 1.9
• Baseband Pulse Transmission [Ch. 4]
  • Matched Filters 4.2
  • Probability of Error due to Noise 4.3
  • Intersymbol Interference 4.4
  • Nyquist Pulse Shaping 4.5
  • Partial Response Signaling 4.6
  • M-ary PAM Transmission 4.7
  • Linear Equalizers 4.8, 4.9
  • Adaptive Equalizers 4.10
• Digital Bandpass Transmission [Ch. 5,8]
• Representations of Bandpass Signals and Systems 5.1
• Signal-space representations 5.2, 5.3
• Detection of Known Signals in AWGN 5.4, 5.5
• Correlation and Matched Filter Receivers 5.6,
• Error Probability for Binary Signals 5.7
• M-ary Modulation Techniques 6.1-6.5, 6.10
• Detection of Signals with Unknown Phase 6.6-6.8
• Differential Detection 6.9
• Spread Spectrum Modulation [Ch. 7]
• Pseudo-noise Sequences 7.1
• Direct-Sequence Spread Spectrum 7.3-7.6
• Frequency-Hopped Spread Spectrum 7.7
• Information Theory - as time allows [Ch. 9]
• Uncertainty, Information, Entropy 9.2
• Source coding Theorem 9.3
• Data Compaction 9.4
• Discrete Memoryless Channel 9.5
• Mutual Information 9.6
• Channel Capacity 9.7, 9.8
• Error Control Coding - as time allows [Ch. 10]
• Linear Block Codes 10.1-10.4
• Convolutional Codes 10.5
• The Viterbi Algorithm 10.6