ps/Hz-{, 0.9, 0.9, 0.9}-Asym. R==2bps/Hz-, 0.9, 0.9, 0.9}-Ana.. R+h=2bps/Hz-{, 0.9, 0.9, 0.9}-Asym. Transmit SNR (dB) Fig. 6.5 2 x 2 x 1 MIMO AC: Throughput vs SNR in the presence of imperfect CSI conditions the delayed channel of hpp and which is used in antenna selection. For decoding, consider hpo be the estimated channel vector used. Hence, hpp is conditioned over hpp following a Gaussian distribution. Thus, the relation between hpo and hpq is given as [36] (6.20) where PPQ is the correlation coefficient between hpo and h. The error is considered to be modeled ase~N(0,1)[36]. With Doppler frequency (fd) and delay spread (Td) of the feedback channels, the channel correlation coefficient for Clarke's fading spectrum is modeled as PPQ = To(2fdTd). Further, at R energy is harvested through TS protocol from the S received signals. Energy harvesting and the IP take place as discussed in the earlier section. In the first hop, S transmits the signal with transmit power Ps to R and D, respectively. The signals received at multiple antennas at R and D MRC receiver are used, and thus the received signals at R and D are given as (6.21) 6 Energy Harvested Device-to-Device MIMO Systems for Beyond 5G ysd== (6.22) where WSR and WSD are the AWGN vectors corresponding to the SR and SD links, respectively. In the second hop, R broadcasts the received S signal to D after amplifying with a gain by TAS through vth antenna [37] (6.23) and is given as (6.24) where PR is transmit power at R and WRD is the RD link AWGN vector. PR is drawn from the EH phase as [11] (6.25) (6.26) Signals received from both the hops at D are combined using MRC with a MMSE filter [32,38]. Thus, the e2e SNR at D is given as (6.27) where, (6.28) where PSKI. P. Shaik and V. Bhatia 6.4.2 System Performance Metrics 6.4.2.1 Outage Probability As the outage probability determines the reliability of the communication link, it can be analyzed through the closed-form UB expression and is given as [14] (6.29) where Vs-1a(Msr-1) bMSR+j-1NR-1p(MRD-1) T(MRD+r)TMsRTMRD 