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1. Introduction: A layered view of digital communication
2. Discrete source encoding
3. Memory-less sources, prefix free codes, and entropy
4. Entropy and asymptotic equipartition property
5. Markov sources and Lempel-Ziv universal codes
6. Quantization
7. High Rate Quantizers
8. Fourier Series
9. Discrete-time Fourier Transforms
10. Orthonormal Expansions
11. Projection Theorem
12. Pulse Amplitude Modulation (PAM)
13. Random Processes
14. White Gaussian Noise (WGN)
15. Linear Functionals
16. Review and Introduction to Detection
17. Detection for Random Vectors and Processes
18. Theorem of Irrelevance
19. Complex Gaussian Processes
20. Introduction to Wireless Communication
21. Doppler Spread
22. Discrete-time Baseband Models
23. Rake Receivers
24. Case Study: Code Division Multiple Access (CDMA)

In this MIT course, Professor Robert G. Gallager gives 24 video lectures on the principles of Digital Communications. The course serves as an introduction to the theory and practice behind many of today's communications systems. Under the original name of 6.450 Principles of Digital Communications I, the course is the first of a two-course sequence on digital communication. The second course, 6.451, is offered in the spring.

Some of the topics covered include: digital communications at the block diagram level, data compression, Lempel-Ziv algorithm, scalar and vector quantization, sampling and aliasing, the Nyquist criterion, PAM and QAM modulation, signal constellations, finite-energy waveform spaces, detection, and modeling and system design for wireless communication.

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