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Content Provider | IEEE Xplore Digital Library |
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Author | Varshney, L.R. |
Copyright Year | 1963 |
Abstract | Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies limits in processing noisy signals with noisy circuits by investigating the effect of noise on standard iterative decoders for low-density parity-check (LDPC) codes. Concentration of decoding performance around its average is shown to hold when noise is introduced into message-passing and local computation. Density evolution equations for simple faulty iterative decoders are derived. In one model, computing nonlinear estimation thresholds shows that performance degrades smoothly as decoder noise increases, but arbitrarily small probability of error is not achievable. Probability of error may be driven to zero in another system model; the decoding threshold again decreases smoothly with decoder noise. As an application of the methods developed, an achievability result for reliable memory systems constructed from unreliable components is provided. |
Sponsorship | IEEE Information Theory Society |
Starting Page | 4427 |
Ending Page | 4444 |
Page Count | 18 |
File Size | 590995 |
File Format | |
ISSN | 00189448 |
Volume Number | 57 |
Issue Number | 7 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2011-07-01 |
Publisher Place | U.S.A. |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Decoding Noise Noise measurement Circuit faults Iterative decoding Wires memories Communication system fault tolerance decoding density evolution low-density parity-check (LDPC) codes |
Content Type | Text |
Resource Type | Article |
Subject | Computer Science Applications Library and Information Sciences Information Systems |
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