Unique Factorization and Controllability of Tail-Biting Trellis Realizations via Controller Granule Decompositions

G. David Forney Jr

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arXiv · 1502.06491

Unique Factorization and Controllability of Tail-Biting Trellis Realizations via Controller Granule Decompositions

G. David Forney Jr

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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.

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G. David Forney Jr. 2015-02-23. Unique Factorization and Controllability of Tail-Biting Trellis Realizations via Controller Granule Decompositions. https://arxiv.org/abs/1502.06491

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