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Capacity of Multilevel NAND Flash Memory Channels

机译：多级NAND闪存通道的容量

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摘要

In this paper, we initiate a first information-theoretic study on multilevel NAND flash memory channels with intercell interference. More specifically, for a multilevel NAND flash memory channel under mild assumptions, we first prove that such a channel is indecomposable and it features asymptotic equipartition property; we then further prove that stationary processes achieve its information capacity, and consequently, as the order tends to infinity, its Markov capacity converges to its information capacity; eventually, we establish that its operational capacity is equal to its information capacity. Our results suggest that it is highly plausible to apply the ideas and techniques in the computation of the capacity of finite-state channels, which are relatively better explored, to that of the capacity of multilevel NAND flash memory channels.
机译：在本文中，我们启动了对具有小区间干扰的多层NAND闪存通道的首次信息理论研究。更具体地说，对于在温和假设下的多级NAND闪存通道，我们首先证明该通道不可分解，并且具有渐近均分特性。然后，我们进一步证明平稳过程达到了其信息容量，因此，随着阶次趋于无穷大，其马尔可夫容量收敛到其信息容量。最终，我们确定其运营能力等于其信息能力。我们的结果表明，将这种思想和技术应用于计算相对更好地探索的有限状态通道的容量与多级NAND闪存通道的容量是非常合理的。

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