Lectures (Video)

- 1. Introduction
- 2. Discrete source encoding
- 3. Memory-less sources
- 4. Entropy and asymptotic equipartition property
- 5. Markov sources and Lempel-Ziv universal codes
- 6. Quantization
- 7. High rate quantizers and waveform encoding
- 8. Fourier series and fourier transforms
- 9. Discrete-time fourier transforms
- 10. Orthonormal expansions
- 11. Signal space, projection theorem
- 12. Nyquist theory
- 13. Random processes
- 14. Jointly Gaussian random vectors
- 15. Linear functionals
- 16. Review
- 17. Detection for random vectors and processes
- 18. Theorem of irrelevance
- 19. Baseband detection
- 20. Introduction of wireless communication
- 21. Doppler spread, time spread
- 22. Discrete-time baseband models for wireless channels
- 23. Detection for flat rayleigh fading and incoherent channels,
- 24. Case study - CDMA

## Principles of Digital Communications I

### Course Summary

This course is based on

This course is a graduate level introduction to the basic principles of digital communication systems. A digital communication system is one that transmits a source (voice, video, data, etc.) from one point to another, by first converting it into a stream of bits, and then into symbols that can be transmitted over channels (cable, wireless, storage, etc.). The use of the digital bit-stream as the interface between the source and the channel is universal regardless of what kind of source and channel are involved. Digital communication principle, with "bit" as the most important concept of the information age, and applications in computer science, Internet, wireless, etc., is one of the most successful stories of applying mathematics in engineering designs.
*6.450 Principles of Digital Communications I, Fall 2006 (videos from Fall 2003)*made available by*Massachusetts Institute of Technology: MIT OpenCourseWare*under the*Creative Commons BY-NC-SA*license.The course would be beneficial particularly to students who are interested in doing research in fields related to communications, networks, and signal processing. The general principle and philosophy of the engineering designs discussed in this course are inspiring to all engineering majors.

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.

### Reading Material

1.**Elements of Information Theory**

Cover, Thomas M., and Joy A. Thomas.

*Elements of Information Theory. 2nd ed.*New York, NY: Wiley Interscience, 2006. ISBN: 9780471241959.

An excellent text on information theory.

(Click the button below to see a preview of the book)

2.

**Fundamentals of Wireless Communication**

Tse, David, and Pramod Viswanath.

*Fundamentals of Wireless Communication.*Cambridge, UK: Cambridge University Press, 2005. ISBN: 9780521845274.

Excellent Coverage of many topics in the last third of the course.

(Click the button below to see a preview of the book)

3.

**Wireless Communications**

Goldsmith, Andrea.

*Wireless Communications.*Cambridge, UK: Cambridge University Press, 2005. ISBN: 9780521837163.

(Click the button below to see a preview of the book)

### Course Material

1.**Lecture notes - table of contents (251 KB pdf)**

2.

**Introduction to digital communication (282 KB pdf)**

3.

**Coding for discrete sources (866 KB pdf)**

4.

**Quantization (485 KB pdf)**

5.

**Source and channel waveforms (1.1 MB pdf)**

6.

**Vector spaces and signal space (594 KB pdf)**

7.

**Channels, modulation, and demodulation (639 KB pdf)**

8.

**Random processes and noise (1.0 MB pdf)**

9.

**Detection, coding, and decoding (1.1 MB pdf)**

10.

**Wireless digital communication (1.0 MB pdf)**

11.

**Bibliography (61 KB pdf)**

### Other Resources

Not available.### Software

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