The DNA Storage Channel: Capacity and Error Probability Bounds
The DNA Storage Channel: Capacity and Error Probability Bounds
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DNA 存储通道：容量和错误概率界限
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
N. Merhav
中科院分区：
文献类型：
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作者：
Nir Weinberger;N. Merhav
我们考虑DNA存储通道，其中包含每个码字的M个脱氧核糖核酸（DNA）分子被无顺序存储，然后用替换采样N次，然后在一个离散的无记忆通道上测序。对于一定的覆盖深度、M/N和分子长度缩放Θ（log M），给出了通道容量的下限（可达性）和上限（逆），以及通道可靠性函数的下限（可达性）。容量的下界和上界都推广了以前已知的仅适用于二元对称测序通道的边界，并且仅在分子长度缩放和交叉概率参数的一定限制下成立。当指定为二进制对称排序通道时，这些限制对于下界完全消除，对于上界则显着放宽。在通用解码器下得到了可靠性函数的下界，并揭示了主要的错误事件是中断事件，即DNA分子采样操作引起的信道容量不支持目标速率的事件。
We consider the DNA storage channel, in which M Deoxyribonucleic acid (DNA) molecules comprising each codeword, are stored without order, then sampled N times with replacement, and then sequenced over a discrete memoryless channel. For a constant coverage depth, M/N, and molecule length scaling Θ(log M), lower (achievability) and upper (converse) bounds on the capacity of the channel, as well as a lower (achievability) bound on the reliability function of the channel are provided. Both the lower and upper bounds on the capacity generalize a bound which was previously known to hold only for the binary symmetric sequencing channel, and only under certain restrictions on the molecule length scaling and the crossover probability parameters. When specified to binary symmetric sequencing channel, these restrictions are completely removed for the lower bound and are significantly relaxed for the upper bound. The lower bound on the reliability function is achieved under a universal decoder, and reveals that the dominant error event is that of outage – the event in which the capacity of the channel induced by the DNA molecule sampling operation does not support the target rate.