Dynamic Threshold Detection Based on Pearson Distance Detection

Journal article (2018)

Authors

KA Schouhamer Immink Turing Machines Inc.
Kui Cai Singapore University of Technology and Design
J.H. Weber Discrete Mathematics and Optimization - EEMCS
Research Group
Discrete Mathematics and Optimization (EEMCS) (TU Delft)
Copyright: © 2018 Kees A. Schouhamer Immink, Kui Cai, J.H. Weber
DOI
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https://doi.org/10.1109/TCOMM.2018.2814618
Encoding Reliability Pearson distance Euclidean distance Resistance Logic gates Pearson code Channel mismatch Constrained coding Detectors Nonvolatile memories Nonvolatile memory Storage systems
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Published Date

2018-7

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Discrete Mathematics and Optimization

Abstract

We consider the transmission and storage of encoded strings of symbols over a noisy channel, where dynamic threshold detection is proposed for achieving resilience against unknown scaling and offset of the received signal. We derive simple rules for dynamically estimating the unknown scale (gain) and offset. The estimates of the actual gain and offset so obtained are used to adjust the threshold levels or to re-scale the received signal within its regular range. Then, the re-scaled signal, brought into its standard range, can be forwarded to the final detection/decoding system, where optimum use can be made of the distance properties of the code by applying, for example, the Chase algorithm. A worked example of a spin-torque transfer magnetic random access memory (STT-MRAM) with an application to an extended (72, 64) Hamming code is described, where the retrieved signal is perturbed by additive Gaussian noise and unknown gain or offset.