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Table 1 Simulation parameters used in all numerical examples Parameter Value Carrier frequency 2 GHz System bandwidth 10 MHz Maximum BS transmit power, (P^{max }_{text {BS}}) 20 W Maximum user transmit power, (P^{max }_{text {UE}}) 150 mW Noise power density −174 dBm/Hz Noise figure at a DLU receiver 9 dB Noise figure at a BS receiver 5 dB.
Table 1 Simulation parameters Parameter Value MSs per macro-cell, N 20 RSs per macro-cell, R 95 Number of antennas at the receiver, M r 6 Cell radius 150 m Number of available RBs, X 20 Number of cells, D 1 Subcarriers per RB, k sc 12 Symbol rate per subcarrier, ϱ s 15 kbps P Tx 31.8 dBm P con 23.8 dBm P BB 11.7dBm Maximum user transmit power 24 dBm Shadowing, Std.
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In [16], the distributed power and subchannel allocation for co-channel deployed femtocells is modeled as a non-cooperative game, for which a Nash Equilibrium is obtained based on a time-sharing subchannel allocation, but the constraint on maximum femto-user transmit power is ignored in solving the non-cooperative game.
The line has been derived in the following way: starting from point (where user 2 does not transmit and user 1 uses the maximum power with the SWF technique) user 2 increases the total transmit power up to the maximum value, when both users transmit with the maximum total power point is reached; finally user 1 decreases the transmit power from the maximum value to zero reaching the point.
Next, the situation is reversed the second user transmits with maximum allowed power and user 1 reduces the transmit power from to 0. In other words, the covariance matrix is simply the identity matrix multiplied by the actual transmit power.
Point in Figure 2 can be defined as that is, user one transmits with the maximum total power and the second user is silent; point, as ; that is, the first user does not transmit any data and the second user transmits with the maximum total power; point is defined as ; that is, both users transmit with the maximum total power.
Specifically, point describes the situation, where the first user transmits with the maximum power, and is chosen such that.
Scheme (1): With this scheme, all cells share the entire frequency band and each user transmits with its maximum allowed power Pmax.
Note that the target utility t l x l may not be feasible, i.e., the target utility cannot be achieved even though the user transmits at the maximum power.
Moreover, for comparison, we tested four different strategies as follows: Scheme (1): With this scheme, all cells share the entire frequency band and each user transmits with its maximum allowed power Pmax.
Note that the target transmission rate r l may not be feasible, i.e., the target utility cannot be achieved even though the user transmits at the maximum power.
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Justyna Jupowicz-Kozak
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