Optimal Decoding of Convolutional Codes using a Linear State Space Control Formulation

Caleb Bowyer

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arXiv · 2012.11095

Optimal Decoding of Convolutional Codes using a Linear State Space Control Formulation

Caleb Bowyer

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Abstract

The equivalence of a systematic convolutional encoder as linear state-space control system is first realized and presented through an example. Then, utilizing this structure, a new optimal state-sequence estimator is derived, in the spirit of the Viterbi algorithm. Afterwords, a novel way to perform optimal decoding is achieved, named the Bowyer Decoder, which is a fully deterministic decoder in that the full FSM is known to the decoding algorithm.

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Caleb Bowyer. 2020-12-21. Optimal Decoding of Convolutional Codes using a Linear State Space Control Formulation. https://arxiv.org/abs/2012.11095

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