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Convergence behavior of iterative systems is difficult to analyze in general.
However, a simulation-based technique called EXIT charts proposed in [23] has been found to be effective in evaluating the convergence behavior of iterative systems.
EXIT charts are an effective tool to predict the convergence behavior of iterative systems [34] and to design component codes [27, 35], even in case of (possibly MIMO) selective channels.
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One popular technique for visualizing the convergence behavior of iterative decoders is the EXIT charts [16].
EXIT technique is a tool for predicting the convergence behavior of iterative processors for a variety of communication problems [21].
Ibrahim et al. [112] show the behavior of iterative pre-copy live migration for memory-intensive applications (HPC workloads).
These solutions are used to analyze the convergence behavior of the iterative DMPC scheme.
However, simulating the behavior of such systems is straightforward.
To gain insight into the behavior of the iterative distributed power control scheme, we study a small system in which we calculate the local optimum power setting assuming full channel knowledge and compare the performance of the heuristic iterative method relying on the D2D geometry (i.e. large scale fading information) with that of the scheme that provides the local optimum.
Such phenomena are observed in the context of multiple solutions (both stable and unstable) of the discretized system, and are also manifested in the behavior of the iterative map used to solve the nonlinear algebraic system of equations.
Section 2 illustrates the convergence behavior of the iterative process.
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