To exemplify the receiver realization in this case, transmit pulse is fixed as two options: conventional rectangular pulse g RECT and the raised-cosine (RC) shaped pulse g RC, which is commonly used in W-OFDM systems.
Nonetheless, depending on the channel realizations, in the case in which K ⩽ S, global optimal performance can be achieved at the equilibrium.
These results were obtained by adding PUs randomly to the topology described earlier; they have been averaged over three different positions of nodes in the network (in the given area of 102 units), with 10 independent channel realizations in each case, i.e., totally 30 instances.
We repeat this experiment 1000 times (for statistical significance) with each experiment using a new arbitrary sensor placement and a new sensor noise realization in the noisy case; the MAE of each parameter is now computed using the estimates from each trial.
Notwithstanding, the suggested methodological framework offers the flexibility to add values to the quantitative criteria and repeat the analysis in case the realization of a VCF financing scheme moves from theory to practice in the Greek context.
The key idea on this work is to estimate the worst-case variability in the dynamic feasibility constraints from simulations of the closed-loop process model using the worst-case realization in the disturbances.
In case of MRA, 10 6 random realizations of the steady state perturbation responses were drawn from Gaussian distributions with means and standard deviations obtained from experimental data [ 17].
Finally, to calculate the error probability Pe conditional to a channel realization in each of the previous cases, the following equation is used: P e = αQ β γ, (47).
In case the theory TC has multiple realizations, the theoretical terms are denotationless too.
More precisely, similarly to the simulations in Section 2 with λ=15, the MSE values show a successful separation for a majority of realizations: in such a case, the Markovianity assumption clearly improves the MSE.
