6.451 Principles of Digital Communication II

Spring 2005

Wireless digital communications.

Wireless digital communications. (Image by MIT OCW.)

Course Highlights

This course features extensive video lectures, along with assignments and other materials used by students in the course.

Course Description

This course is the second of a two-term sequence with 6.450. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of 6.450 and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-decision decoding. It continues with binary linear block codes, Reed-Muller codes, finite fields, Reed-Solomon and BCH codes, binary linear convolutional codes, and the Viterbi algorithm.

More advanced topics include trellis representations of binary linear block codes and trellis-based decoding; codes on graphs; the sum-product and min-sum algorithms; the BCJR algorithm; turbo codes, LDPC codes and RA codes; and performance of LDPC codes with iterative decoding. Finally, the course addresses coding for the bandwidth-limited regime, including lattice codes, trellis-coded modulation, multilevel coding and shaping. If time permits, it covers equalization of linear Gaussian channels.

Special Features

Technical Requirements

RealOne™ Player software is required to run the .rm files found on this course site.

Donate Now


Prof. David Forney

Course Meeting Times

Two sessions / week
1.5 hours / session



Archived Courses

Previous version