On the Capacity of Channels with Deletions and States

Yonglong Li; Vincent Y. F. Tan

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arXiv · 1911.04473

On the Capacity of Channels with Deletions and States

Yonglong Li·Vincent Y. F. Tan

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Abstract

We consider the class of channels formed from the concatenation of a deletion channel and a finite-state channel. For this class of channels, we show that the operational capacity is equal to the stationary capacity, which can be approached by a sequence of Markov processes with increasing Markovian orders. As a by-product, we show that the polar coding scheme constructed by Tal, Pfister, Fazeli and Vardy achieves the capacity of the deletion channel.

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Yonglong Li, Vincent Y. F. Tan. 2019-11-10. On the Capacity of Channels with Deletions and States. https://arxiv.org/abs/1911.04473

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