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First, the sum capacities of different tiers in a heterogeneous network are expressed in closed form for all approaches, and the capacity-maximizing spectrum splitting is investigated.
The proposed algorithm applies an iterative approach initialized with approximate closed form estimates so as to guarantee stability and convergence.
Two approaches are investigated for obtaining closed form expressions for the fractile levels based on the Poisson approximation of the extreme value distribution.
Based on worst-case approach and Lagrange dual decomposition method, closed form analytical solutions to robust relay selection and power allocation have been derived.
Closed form expressions of (40) and (45) can be obtained by a similar approach.
Closed form analytical solutions, developed for two limiting cases, are consistent with the numerical approach.
This approach has practical applications when it is possible to extract a problem with eigenfunctions expressed in closed form.
Then, closed form approximate equations are obtained to estimate the magnitude of its effects and to show the best directions of approach for the maneuver.
The proposed computational approach, which is based on projected dynamical systems, fully exploits the network structure of the problems and yields closed form solutions at each iteration.
Furthermore, due to their very simple nature, the introduced closed-form approaches can be recommended for direct use in an industrial environment for any practical engineering purpose.
The same authors describe a pilot-based approach for frequency domain synchronization in [4], proposing a closed-form approach to STO and CFO estimation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com