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Table 2 Corresponding variables of the conventional and equivalent single-user MIMO systems

From: Practical decentralized high-performance coordinated beamforming for both downlink and uplink in time-division duplex systems

  Conventional Downlink equivalent (5) Uplink equivalent (8)
  Symbol Variable Symbol Variable Symbol Variable
Source s m × 1 s k m k  × 1 s ¯ k m ¯ k × 1
Receive signal y r × 1 y k u k  × 1 G ¯ k , R y ¯ k d ¯ k × 1
Noise n r × 1 n k u k  × 1 G ¯ k , R n ¯ k d ¯ k × 1
Precoder F c × m F k,R d k  × m k F ¯ k u ¯ k × m ¯ k
Decoder G m × r G k m k  × u k G ¯ k , L m ¯ k × d ¯ k
Channel H r × c H kk F k,L u k  × d k G ¯ k , R H ¯ kk d ¯ k × u ¯ k
  1. For the conventional system, m, number of data streams; r, number of receive antennas; c, number of transmit antennas.