Virtual MIMO Beamforming and Device Pairing Enabled by Device-to-Device Communications for Multidevice Networks

Algorithm 1

Distributed matching and resource sharing algorithm.

(1) Set for .

(2)  repeat 

(3)   At device , update offer using (24) for and send it back to device

(4)   On receipt of for all devices, update using (25).

(5)   At device , update alternative rate using (26) and send it back to device .

(6)    .

(7)   until   All messages converge or max number of iterations are reached.

(8) At device , fix and for all to determine using (25), and find partner

  device such that .