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

Algorithm 3

Modified auction algorithm.

(1) Set for .

(2)   repeat

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

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

(5)  At device , update alternative rate gain using (26) for 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 .