@inproceedings{10889b9738a94cbcbe3a438bb2610e79,

title = "Analysis of Taylor-Kuznetsov memory using one-step majority logic decoder",

abstract = "This paper addresses the problem of constructing reliable memories from unreliable components. We consider the memory construction proposed by Taylor in which a codeword stored in a faulty memory is regularly updated by an LDPC decoder to overcome the memory degradation. We assume that the LDPC decoder used in the system is a faulty one-step majority logic decoder. Compared to [1], [2] which analyze only the faulty one-step majority logic decoder, we analyze here the reliability of the whole memory construction. We introduce a sequence of output errors probabilities at successive time instants and determine the properties and the fixed points of the sequence. From the fixed-point analysis, we define a threshold that predicts the noise level which can be tolerated for the memory to stay reliable. We finally represent the reliability regions of the Taylor-Kuznetsov memory with respect to the decoder noise parameters and validate the theoretical results with Monte-Carlo simulations.",

keywords = "Decoding, Degradation, Error probability, Memory architecture, Noise, Parity check codes, Reliability",

author = "Elsa Dupraz and David Declercq and Vasic, {Bane V}",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; Information Theory and Applications Workshop, ITA 2015 ; Conference date: 01-02-2015 Through 06-02-2015",

year = "2015",

month = oct,

day = "27",

doi = "10.1109/ITA.2015.7308965",

language = "English (US)",

series = "2015 Information Theory and Applications Workshop, ITA 2015 - Conference Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "46--53",

booktitle = "2015 Information Theory and Applications Workshop, ITA 2015 - Conference Proceedings",

}