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Some complicated analytical computations are carried out using the computer algebra system Mathematica.
Since the analytical computations are cumbersome we show here plots obtained by numerical means.
When comparing the results of kinematic analytical computations with synthetic numerical experiments confirms the theoretical accuracy of the method.
Analytical computations of the actual type I-error rate are given for small sizes of the internal pilot study.
As the analytical computations are cumbersome for the multi-antenna BSs, the channel power imbalance impact study in a more general case is made through simulation.
The sample variance may be reduced if one uses a Rao Blackwell marginalization of states and performs analytical computations as much as possible.
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In the next step, the system is solved analytically (Homotopy Analysis method) and to ensure the analytical computation, numerical solutions (by means of Runge-Kutta method) are also performed.
chosen power value: analytical computation (numbers) and simulative results (curves).
The following section is dedicated to the analytical computation of closed-form expression of the MSRL.
However, precise analytical computation of the determinant becomes intractable even for relatively small systems.
Detailed analytical computation of the effect may be found elsewhere [32].
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