Title :
Unique factorization and controllability of tail-biting trellis realizations via controller granule decompositions
Author :
Forney, G. David
Author_Institution :
Lab. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA
fDate :
April 26 2015-May 1 2015
Abstract :
The Conti-Boston factorization theorem (CBFT) for linear tail-biting trellis realizations is extended to group realizations with a new and simpler proof, based on a controller granule decomposition of the behavior and known controllability results for group realizations. Further controllability results are given; e.g., a trellis realization is controllable if and only if its top (controllability) granule is trivial.
Keywords :
matrix decomposition; trellis codes; Conti-Boston factorization theorem; controller granule decompositions; tail-biting trellis realizations; unique factorization; Aerospace electronics; Controllability; Indexes; Kernel; Legged locomotion; Trajectory; Zinc;
Conference_Titel :
Information Theory Workshop (ITW), 2015 IEEE
Conference_Location :
Jerusalem
Print_ISBN :
978-1-4799-5524-4
DOI :
10.1109/ITW.2015.7133082
