6.451 Principles of Digital Communication II, Spring 2003
Author(s)Forney, G. David
Principles of Digital Communication II
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Coding for the AWGN channel; block and convolutional codes; lattice and trellis codes; capacity-approaching codes; equalization of linear Gaussian channels; linear, decision-feedback, and MLSD equalization; precoding; multicarrier modulation; and topics in wireless communication. Description from the course home page: 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.
coding techniques, the Shannon limit of additive white Gaussian noise channels, Small signal constellations, performance analysis, coding gain, Hard-decision and soft-decision decoding, Introduction to binary linear block codes, Reed-Muller codes, finite fields, Reed-Solomon and BCH codes, binary linear convolutional codes, Viterbi and BCJR algorithms, Trellis representations of binary linear block codes, trellis-based ML decoding, Codes on graphs, sum-product, max-product, decoding algorithms, Turbo codes, LDPC codes and RA codes, Coding for the bandwidth-limited regime, Lattice codes, Trellis-coded modulation, Multilevel coding, Shaping