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The actual number of realization types was two or three.
Assuming that the channel is ergodic so that each codeword spans over a large number of realization of the small-scale fading channel, the ergodic achievable rate of the k th user R k is given by R k = E r k = E log ( 1 + γ k ) (5).
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The computational advantage of this approach is realized for uncertainty quantification tasks where a large number of realizations has to be evaluated.
where N ℓ is the number of realizations.
The effective properties can be determined for large volumes and a small number of realizations.
Conversely, smaller volumes can be used providing that a sufficient number of realizations are considered.
A straightforward calculation of such averages converges slowly and therefore requires a large number of realizations of the system.
The number of realizations depends on the order of the approximation and the underlying cubature method.
Obviously if the graph is not rigid, infinite number of realizations are possible through continuous deformations.
Hence, these confidence intervals could be decreased by increasing the number of realizations measured.
A limitless number of realizations can be independently produced from that joint distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com