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The problem of maximizing the SNR at the receiver corresponds to the problem of maximizing the received signal strength at each user, described as, g u = max w u ∣ w u H h ̃ ( u ) ∣ 2 = max w u ( w u H D u w u ) (9).
Notably when CSI is available at the transmitter and receiver sides, and multiplexing in the spatial domain is not used, the joint use of maximum ratio transmission (MRT) [28] at the transmitter and maximal ratio combining (MRC) at the receiver is known to provide optimum performance in the sense of maximizing the received signal-to-noise ratio (SNR).
The proposed Stiefel distance selection metric balances between maximizing the received power and maximizing the coherency of the transmission.
Classical solutions adopted by the 3GPP standard based on maximizing the received signal to interference plus noise ratio (SINR) may lead to situations where the macro BS will be heavily loaded whereas small cells will provide service only to a few users.
Based on the precoder choices of the different terminals and the per-antenna power levels requested, a criterion is proposed for maximizing the received SINR of a severely interference-limited cell-boundary user, while controlling the loss in performance of high-SINR in-cell users in the system.
Therefore, this precoding ensures that and lie in the same quadrant as shown in Figure 1(b), thus maximizing the received SNR. Figure 1 (a) shows the original channel from eNB to UE, while (b) shows the effective channel of desired signal and (c) shows the effective channel of interference of UE.
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In this section, we enhance this idea by introducing the use of multi-element arrays on the receiver side, in order to maximize the received signal's SNR.
In other words, the cognitive relay first maximizes the received signal quality with maximal ratio combining and then precodes the received signal with a beamforming vector w to balance the received power at different cognitive destinations and reduce the received interference at primary users.
It is shown in [9] that the value of that maximizes the received SINR is, where is the noise variance at the receiver.
In each iteration, each node formulates its best response strategy, which maximizes the received SINR.
For FHS, the selection is made at the source to maximize the received SNR at the relay.
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