scholarly journals Concentration to zero bit-error probability for regular LDPC codes on the binary symmetric channel: Proof by loop calculus

Author(s):  
Marc Vuffray ◽  
Theodor Misiakiewicz
Author(s):  
Shashi Chilappagari ◽  
Sundararajan Sankaranarayanan ◽  
Bane Vasic

2022 ◽  
Vol 70 (1) ◽  
pp. 38-52
Author(s):  
Frank Schiller ◽  
Dan Judd ◽  
Peerasan Supavatanakul ◽  
Tina Hardt ◽  
Felix Wieczorek

Abstract A fundamental measure of safety communication is the residual error probability, i. e., the probability of undetected errors. For the detection of data errors, typically a Cyclic Redundancy Check (CRC) is applied, and the resulting residual error probability is determined based on the Binary Symmetric Channel (BSC) model. The use of this model had been questioned since several error types cannot be sufficiently described. Especially the increasing introduction of security algorithms into underlying communication layers requires a more adequate channel model. This paper introduces an enhanced model that extends the list of considered data error types by combining the BSC model with a Uniformly Distributed Segments (UDS) model. Although models beyond BSC are applied, the hitherto method of the calculation of the residual error probability can be maintained.


2012 ◽  
Vol 58 (4) ◽  
pp. 2321-2329 ◽  
Author(s):  
M. Hagiwara ◽  
M. P. C. Fossorier ◽  
H. Imai

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