By Topic

Trellis group codes for the Gaussian channel

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Rossin, E.J. ; Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA ; Sindhushayana, N.T. ; Heegard, C.D.

In this paper, trellis group codes are introduced as an extension of Slepian group codes to codes over sequence spaces. A trellis group code is defined over Rn as the orbit of a bi-infinite “seed sequence”, x0∈(R n)Z, under an infinite, defining group of transformations. This group of transformations is generated by a symbolic system. The theory is developed by combining a nontrivial extension of the notion of an isometric labeling, with results from the theory of symbolic dynamics over groups. New results presented here include a useful characterization of uniform partitions and a symbolic dynamic classification of trellis group codes. The theory is used to develop a class of rotationally invariant, nonabelian trellis group codes for QAM modulation. It is also shown that the 8-state, rotationally invariant trellis code designed by Wei (1984), used in the V.32 (and V.32 bis) international modem standard, belongs to this class

Published in:

Information Theory, IEEE Transactions on  (Volume:41 ,  Issue: 5 )