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Afterwards, the optimal power allocation is obtained via fractional programming.

And the optimal power allocation is obtained by Lagrange dual approach.

Through the division of problem (mathcal {OP}_{2}), suboptimal power and subcarrier allocation is obtained.

First, in a training phase at system start-up, a dynamic allocation is obtained, as represented in Figure2.

Starting with a single-user point-to-point orthogonal frequency division multiplexing (OFDM) system, the optimal power allocation is obtained by the well-known water-filling solution[10].

The optimal damper allocation is obtained for the transfer function amplitude of the elastic base moment then compared with the other damper optimization methods in terms of the transfer function response.

The optimal beamforming vectors corresponding to a particular (suboptimal) power allocation are obtained, then power allocations are updated corresponding to these beamforming vectors.

Details are provided in Appendix 3. We can know from the above optimal values, if the water-filling levels {ω k } for all SUs can be found, the optimal power and subcarrier allocation are obtained from (31) and (32).

The closed-form solution for the optimal power allocation was obtained, not only for the simpler 2-CTP case, but also for the more general K-CTP case with an arbitrary number of coordinated sources.

Allocation was obtained by telephoning an independent co-ordinator (closed envelope system).

Random allocation was obtained using a computer generated random list of numbers.