Line Codes Generated by Finite Coxeter Groups

Speaker: Ezio Biglieri
Affiliation: ECE Department - UCLA & Universitat Pompeu Fabra, Barcelona, Spain

Abstract: I describe an algebraic approach to the design of a family of line codes for parallel transmission of b bits over b+1 wires that admit especially simple encoding and decoding algorithms. The resulting codebook is a geometrically uniform subset of a Permutation Modulation codebook. With these codes, resistance to common-mode noise is obtained by using codewords whose components sum to zero, simultaneous switching output noise is reduced by using constant-energy signals, and the effects of intersymbol interference are reduced by having decisions based on only two values at the input of the final slicers. Codebook design is based on the theory of Group Codes for the Gaussian Channel, as specialized to Coxeter matrix groups generated by reflections in orthogonal hyperplanes. I also discuss the introduction of error control coding in a way consistent with the constraints imposed on that design.  (Work done with Emanuele Viterbo and Michele Elia.)

Biography:  EZIO BIGLIERI is an Adjunct Professor with UCLA and an Honorary Professor with Universitat Pompeu Fabra, Barcelona, Spain. He was the President of the IEEE Information Theory Society in 1999 and the Editor-in-Chief of the IEEE Transactions on Information Theory, the IEEE Communications Letters, the European Transactions on Telecommunications, and the Journal of Communications and Networks. He is a Life Fellow of the IEEE.  Among other honors, he received the IEEE Donald G. Fink Prize Paper Award (2000), the IEEE Third-Millennium Medal (2000), the IEEE Communications Society Edwin Howard Armstrong Achievement Award (2001), the Journal of Communications and Networks Best Paper Award (2004, 2012, and 2015), the IEEE Information Theory Society Aaron D. Wyner Distinguished Service Award (2012), and the EURASIP Athanasios Papoulis Award (2013).

For more information, contact Prof. Kung Yao ()

Date(s) - Feb 09, 2018
11:00 am - 12:30 pm

E-IV Maxwell Room #57-124
420 Westwood Plaza - 5th Flr. , Los Angeles CA 90095