Stone Studio

Introduction: A layered view of digital communication

Course Features

• Video lectures
• Lecture notes
• Assignments (no solutions)
• Exams and Solutions

Course Description

The course serves as an introduction to the theory and practice behind many of today’s communications systems. 6.450 forms the first of a two-course sequence on digital communication. The second class, 6.451, is offered in the spring.

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.

Recommended Citation

For any use or distribution of these materials, please cite as follows:

Robert Gallager and Lizhong Zheng, course materials for 6.450 Principles of Digital Communications I, Fall 2006. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].

Discrete source encoding

Memory-less sources, prefix free codes, and entropy

Entropy and asymptotic equipartition property

Markov sources and Lempel-Ziv universal codes

Quantization

High rate quantizers and waveform encoding

Measure, fourier series, and fourier transforms

Discrete-time fourier transforms and sampling theorem

Degrees of freedom, orthonormal expansions, and aliasing

Signal space, projection theorem, and modulation

Nyquist theory, pulse amplitude modulation (PAM), quadrature amplitude modulation (QAM), and frequency translation

Random processes

Jointly Gaussian random vectors and processes and white Gaussian noise (WGN)

Linear functionals and filtering of random processes

Review; introduction to detection

Detection for random vectors and processes

Theorem of irrelevance, M-ary detection, and coding

Baseband detection and complex Gaussian processes

Introduction of wireless communication

Doppler spread, time spread, coherence time, and coherence frequency

Discrete-time baseband models for wireless channels

Detection for flat rayleigh fading and incoherent channels, and rake receivers

Case study — code division multiple access (CDMA)

Reference:

http://ocw.mit.edu/OcwWeb/Electrical-Engineering-and-Computer-Science/6-450Fall-2006/CourseHome/index.htm