Trellis-coded modulation (TCM), a coding technique that combines the functions of error control coding and signal modulation, has revolutionized digital communications during the past 15 years. Its greatest success has been achieved in voice-band data modems, where consumer products now offer reliable data transmission at rates approaching information-theoretic limits. Other applications for coded-modulation techniques are emerging in digital information storage and personal wireless communications.

The evolution of TCM has been characterized by a fast-paced and mutually-enriching interplay between practical engineering advances and theoretical progress. This talk will discuss TCM and some of the connections to the mathematical areas of symbolic dynamics, system theory, and the theory of lattices.

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1996-1997 Mathematics in High Performance Computing