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Exact(25)
Assume that for a given W, there is at least one valid combination.
Let { Γ a 1, Γ a p } be a valid combination in the optimum solution.
There is an optimum solution for (20), where arg max i { Γ i | i ∈ W } is involved in a valid combination, if there exists at least one valid combination.
If a p = a q, then Algorithm 1 has found the valid combination in the optimum solution.
For the i th valid combination, the destination sends a signal requesting the corresponding network-coded packet(s) with specific indices to the relay.
The searching for three-wise combinations similar to Algorithm 1 is as follows: We first search for a valid combination involving the largest element in U ′.
Similar(35)
ℬ contains indices that the corresponding SNRs are not involved in any valid combinations.
The upper bound on the number of valid combinations is also plotted.
For TNCCR, Algorithm 2 is applied to search for valid combinations.
Since we only consider pairwise and three-wise valid combinations, l i ∈{0,1,2,3}.
Find valid combinations in ( Γ a 1, Γ a 2,..., Γ a k ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com