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A factor node is connected to a variable node if and only if the corresponding function represented by the factor node depends on that variable.
It is important to note that a factor node can send a message to a variable node after the factor node has received incoming messages from all other neighboring variable nodes.
where (12) is defined as oper3 in Table 1, and the message from a factor node to a variable node can be taken as the prediction phase for location tracking.
The d v i bits constituting one segment, output from the de-interleaver are connected to a variable node, and d c variable nodes are further connected to a check node; those demapper output bits in one segment, connected to the same variable node decoder, are not overlapping with other segments.
The mutual information messages from a check node to a variable node (x cv ) and from a variable node to a check node (x vc ) at iteration l are given by x cv ( l − 1 ) = 1 − ∑ j = 2 d c max C z ρ j C z J ( ( j − 1 ) J − 1 ( 1 − x vc ( l − 1 ) ) ), (20).
In addition, consider a prediction phase with two incoming Gaussian messages illustrated as the right part of Figure 2. According to (9) and (11), a message from a factor node to a variable node is the integration of the product of two incoming messages enforced on the factor node.
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The target of the optimization algorithm proposed in [2] is to find a variable node degree distribution for the whole code that maximizes the average variable node degree of the class being optimized.
Therefore, to evaluate the message sent by a variable node to an adjacent factor node along the connecting link, the product of the incoming messages along all of the other links is taken simply.
A message from a factor node to variable nodes is the sum of factor contributions and is illustrated in the middle and left parts of Figure 13. Figure 13 Illustration of the evaluation of the message sent by a factor node to an adjacent variable node and the evaluation of the message sent by a variable node to an adjacent factor node.
A message from a variable node to a factor node is the product of incoming messages and is illustrated in the middle and right parts of Figure 13.
where (10) is defined as oper1 in Table 1, i.e., a message from a variable node to a factor node is the product of incoming messages.
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