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Therefore, we propose to use the following transmit powers that satisfy the minimum spectral efficiency constraints.

In this case, the maximization of the energy efficiency corresponds to using the following transmit powers to satisfy the minimum spectral efficiency constraints.

The spectral efficiency results are not shown since optimizing the energy efficiency in the transmit power-dominated regime boils down to using the transmit power that satisfies the minimum spectral efficiency constraints.

where ( overline{eta_{mathrm{SE}}} ) is the minimum spectral efficiency requirement, ( {displaystyle {overline{P}}_{mathrm{B}}} ) and ( {displaystyle {overline{P}}_{{displaystyle {mathrm{R}}_{mathrm{k}}}}} ) are the maximum allowed transmit powers of the BS and the RSs, respectively.

In this case, the energy efficiency maximization corresponds to using the following transmit power that satisfy the minimum spectral efficiency constraints for l={1,2} and t={1,2}.

Note that the minimum spectral efficiency constraints will be satisfied with the transmission of the first two time slots, however introducing a penalty by leaving the last time slot unused.

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In the transmit power-dominated regime, DIV has a higher energy efficiency than DRCP when the minimum spectral efficiencies are small, while DRCP has a higher energy efficiency when the minimum spectral efficiencies are large.

However, when the minimum spectral efficiencies are large, a large difference between indirect and direct links is necessary to provide a similar performance.

Using dedicated time slots shows a larger energy efficiency in the circuit power-dominated regime and when the minimum spectral efficiencies are small in the transmit power dominated regime, while using simultaneous transmissions shows a larger energy efficiency in the transmit power-dominated regime when the minimum spectral efficiencies are large.

Considering all equal links, we can see in Figs. 9 and 10 for the transmit power-dominated regime that DIV and DRCP achieve the highest energy efficiency and success rate when the minimum spectral efficiencies are small.

This paper proposes a prototype mesh topology network architecture based on regenerative DVB GEO satellites, which enables the interconnection of heterogeneous terrestrial distribution nodes to each other, with minimum possible delay and offering maximum spectral efficiency of the satellite transponder.

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