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A general class of discrete-time uncertain nonlinear stochastic systems with quadratic sum constraints is considered.
where and are Lagrange multipliers corresponding to sum constraints for bandwidth and power allocation, respectively.
(It is readily seen that the sum constraints define a convex set).
The optimal values on multiple bands are reduced when the sum constraints are added.
We introduce a propagator for pairs of Sum constraints, where the expressions in the sums respect a form of convexity.
As the gradient of sum rate R is always positive for all elements, the updated allocation vectors x[i + 1] always violate the individual sum constraints (17), (18) or (24).
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The power of each BS is limited by a sum constraint (6).
It therefore might not be possible to fulfil the sum constraint of the relay node.
Here note that the baseline parameters are automatically determined by the zero sum constraint of the corresponding ϕ-function.
In contrast to that constant sum constraint in IL-RR, the QERT estimating approach fixes the product of m 12 and m 21.
The BEP performance for the DF distributed BF scheme with equal power allocation approaches the BEP performance of the optimum power assignment under global power sum constraint.
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