Low-Complexity Transmit Antenna Selection and Beamforming for Large-Scale MIMO Communications

Algorithm 1

Processing procedure of the proposed low-complexity and joint transmit antenna selection and beamforming for large-scale MIMO communications.

Input: , and

Output: , and

(1)   function ESTIMATING   BY LS

(2)    w ← select an initial value for w

(3)  ← select an initial value for

(4)  ← solve the optimization problem of P1 (12) and find the solution .

(5)     return  S

(6)   end function

(7)

(8)   function ESTIMATING  w  BY MAXIMIZING THE OUTPUT SNR

(9)     the optimum of P1.

(10)   the initial value of .

(11)    w ← solve the optimization problem of P2 (15) and find the solution w.

(12)   return  w

(13) end function

(14)

(15) function ESTIMATING    BY MAXIMIZING THE CHANNEL CAPACITY

(16)   S ← the optimum S of P1.

(17)   w ← the optimum w of P2.

(18)   ← solve the optimization problem of P3 (18) and find the solution .

(19)   return  

(20) end function

(21)

(22) Iteration: Rerun the steps 1 to 20 for some appropriate number of iterations and the

  achievable performance will be the average of results at that specific SNR.

(23) return  w, S and

(24) Finally, the antennas are chosen corresponding to the -largest diagonal elements of .