G. Song, K. Cai, Y. Li, and K.A. Schouhamer Immink,
'Maximum Achievable Rate of Resistive Random-Access Memory Channels by Mutual Information Spectrum Analysis', Submitted to IEEE Trans. on Inform. Theory, Oct. 2021.
Abstract - The maximum achievable rate is derived for resistive random-access memory (ReRAM) channel with sneak-path interference. Based on the mutual information spectrum analysis, the maximum
achievable rate of ReRAM channel with independent and identically distributed (i.i.d.) binary inputs is derived as an explicit function of channel parameters such as the distribution of cell selector
failures and channel noise level. Due to the randomness of cell selector failures, the ReRAM channel demonstrates multi-status characteristic. For each status, as the array size is large, the fraction of cells
affected by sneak paths approaches a constant value. Therefore, the mutual information spectrum of the ReRAM channel is formulated as a mixture of multiple stationary channels. Maximum achievable
rates of the ReRAM channel with different settings, such as single- and across-array codings, with and without data shaping, and optimal and treating-interference-as-noise (TIN) decodings,
are compared. These results provide us valuable insights on the code design for ReRAM.
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