
arXiv: 1202.1336
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.
5 pages; submitted to the 2012 IEEE International Symposium on Information Theory
FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Electrical engineering, electronic engineering, information engineering, Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control
FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Electrical engineering, electronic engineering, information engineering, Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control
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