BSC

BSC

A binary symmetric channel (BSC) is a communication channel in which both the input and output have two symbols, 0 and 1, and the probability of accurately transmitting a symbol is the same regardless of whether it is a 0 or a 1. The BSC is commonly used as a model for noisy channels, where a bit may be flipped with a certain probability, known as the crossover probability. The effectiveness of error correcting codes in improving reliability on a BSC depends on both the code used and the specific error probability of the channel.From: Pearls of Discrete Mathematics [2019], Optimization–based decoding algorithms for LDPC convolutional codes in communication systems [2019], Mathematical Foundations for SIGNAL PROCESSING, COMMUNICATIONS, AND NETWORKING [2012], Quantum Error Correction and Fault Tolerant Quantum Computing [2019]

Binary LDPC codes & decoder architectures

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Published in Zhang Xinmiao, VLSI Architectures for Modern Error-Correcting Codes, 2017

Zhang Xinmiao

In a FAID, a message equals one of the alphabets {−Ls,..., −L1, 0, L1,..., Ls}, where Li is a positive integer and Li > Lj for any i > j. Similar to that in the BP and Min-sum decoders, the magnitude of the alphabet tells how reliable the message is, and the sign is an estimation of whether the corresponding received bit should be ‘0’ or ‘1’. For BSC, the channel information for a received bit takes one of the two values. Denote the channel information by ±C, where C is a positive integer. The check node processing in the FAID is done according to (8.6), the same as that in the Min-sum decoder. Denote the c2v messages to a variable node n with degree dv by v0,n, v1,n, … vdv −1, n. The v2c message to check node dv − 1 in the FAID is derived as

An integrated performance measurement framework for enhancing public health care supply chains

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Published in Supply Chain Forum: An International Journal, 2018

Z. Chorfi, L. Benabbou, A. Berrado

The BSC allows the organizations to describe, structure and to communicate their strategies. Designing a well-balanced performance measurement system requires answering the four questions of the BSC as described in Figure 1 for public healthcare supply chains.

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Binary LDPC codes & decoder architectures

An integrated performance measurement framework for enhancing public health care supply chains