Your English writing platform
Discover LudwigSuggestions(1)
Exact(7)
An efficient scheduling policy must determine the proper set of links for which there exists a power and rate allocation that meets power constraints and SINR requirements.
Given minimum utility requirements, and, the arbitrator should be able to determine if this pair is feasible, that is, whether there exists a power pricing pair that leads to a unique NE that fulfills these requirements simultaneously.
The first phase establishes that for a given set of links, there exists a power and rate allocation that satisfies the SINR requirements imposed by some MCSs under a set of power constraints.
The power vector found by (14) does not consider the power constraints (5) or (6), and they are taken into account once there exists a power vector defined by (4) such that p ∈ R + + | K |, which corresponds to a feasible target allocation where no power constraints are imposed.
Let F denote the feasible utility region, where for each point U = (U1,…,U L ) in F, there exists a power vector p such that U l = U l (γ l (p)) for all l ∈ L. The feasible utility region F is nonconvex, and in general, finding the globally optimal solution to (2) in F is challenging.
For a unicast transmission scenario, a directed communication link l ij is established from node i to node j if there exists a power level P ∈ [ 0, P max ( i ) ], under which the SNR level measured at the receiver of node j exceeds a prescribed threshold level γ(j); i.e., G ij P η ≥ γ ( j ) (1).
Similar(53)
This means that if for the set of links that is attempted to be scheduled, it does not exist a power allocation that satisfies all links requirements, the set must be split off assigning different time slots to different subset of links [1].
It is clear that for any values of N and L, it exists a consumed power b≠0 for which T min is less than T min when b=0.
there exists a formal power series A ( t ) = ∑ n = 0 ∞ a n t n ( a 0 ≠ 0 ) such that A ( t ) exp ( x t ) = ∑ n = 0 ∞ P n ( x ) t n.
It has been shown in [25] that by solving the constraints (7) and (8), the following inequality must be satisfied if there exists a feasible power assignment that meets the QoS requirements: (13).
Then there exists a convergent power series (a epsilon)inmathbb{F}{ epsilon}) defined on some neighborhood of the origin and (hat {G}^{1} epsilon),hat{G}^{2}(epsinmathbb{thbb{F}[!![epsilon]!!]) such that (G_{p}) can be written in the form G_{p} epsilon)=a epsilon)+G_{p}^{1}( epsilon)+G_{p}^{2} epsilon).
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com