English

Reducing complexity of tail-biting trellises

Information Theory 2012-08-27 v1 Systems and Control math.IT

Abstract

It is shown that a trellis realization can be locally reduced if it is not state-trim, branch-trim, proper, observable, and controllable. These conditions are not sufficient for local irreducibility. Making use of notions that amount to "almost unobservability/uncontrollability", a necessary and sufficient criterion of local irreducibility for tail-biting trellises is presented.

Cite

@article{arxiv.1202.1336,
  title  = {Reducing complexity of tail-biting trellises},
  author = {Heide Gluesing-Luerssen and G. David Forney,},
  journal= {arXiv preprint arXiv:1202.1336},
  year   = {2012}
}

Comments

5 pages; submitted to the 2012 IEEE International Symposium on Information Theory

R2 v1 2026-06-21T20:15:47.983Z