MIT / Engineering / Electrical
Lecture : Introduction Sampling Theorem
By David Forney | Principles of Digital Communication II
Lecture 1 of 25
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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.

Courses Index
1 : Advanced Topics in Circuit Design   (Elad Alon / Berkeley)
2 : Introduction to Digital Integrated Circuits   (Jan RABAEY / Berkeley)
3 : Advanced Analog Integrated Circuits   (Elad Alon / Berkeley)
4 : Introduction to Microelectronic Circuits   (Bernhard BOSER / Berkeley)
5 : The Fourier Transform and its Applications   (Brad Osgood / Stanford)
6 : Introduction to Linear Dynamical Systems   (Stephen Boyd / Stanford)
7 : Convex Optimization I   (Stephen Boyd / Stanford)
8 : Convex Optimization II   (Stephen Boyd / Stanford)
9 : Circuits and Electronics   (Anant Agarwal / MIT)
10 : Computer System Engineering   (Samuel Madden / MIT)
11 : Introduction to Algorithms   (Erik Demaine / MIT)
12 : Principles of Digital Communications I   (Lizhong Zheng / MIT)
13 : Understanding Lasers and Fiberoptics   (Shaoul Ezekiel / MIT)
14 : Electromagnetics and Applications   (Multiple Instructors / MIT)
15 : Information and Entropy   (Paul Penfield / MIT)
16 : Fundamentals of Laser   (Sabieh Anwar / LUMS)
17 : Synchrotron Radiation for Materials Science   (David Attwood / Berkeley)
18 : Linear Integrated Circuits   (Clark Nguyen / Berkeley)
19 : Digital Circuit Design   (Ken Boyd / University of New South Wales)
20 : Speech and Audio Processing   (Multiple Multiple / University of New South Wales)