Energy Efficiency Maximization through Cooperative Transmit and Receive Antenna Selection for Multicell MU-MIMO System

Algorithm 1

Cluster energy efficiency based antenna selection (cluster EEAS).

Initialization:

The neighbor cells share their available upper limit capacity 𝐺. CEE_𝑖(0,0)=0,

the inactive transmit antenna set is Φ_𝑇,𝑖={1,2,…,𝑁_max}, the activated transmit

antenna set is Ω_𝑇,𝑖=∅, the inactive receive antenna set is Φ_𝑅,𝑖={1,2,…,𝐾_𝑖}, and

the activated transmit antenna set is Ω_𝑅,𝑖=∅.

Step1: the number of transmit antenna determination and receive antenna set selection

For 𝑛=1∶𝑁_max

 (a) For 𝑚=1∶𝑛

   (1) CEE_𝑖(𝑛,0)=0, Ω_𝑅,𝑖=∅

   (2) For receive antenna 𝑘, set Ω_𝑅,𝑖=Ω_𝑅,𝑖+{𝑘}, and calculate the available energy

    efficiency CEE_𝑖,𝑘(𝑛,𝑚).

   (3) Find the 𝑘 corresponding to the maximum of CEE_𝑖,𝑘(𝑛,𝑚)

   (4) Calculate the cost function 𝑆=CEE_𝑖(𝑛,𝑚)−CEE_𝑖(𝑛,𝑚−1)+ΔCEE_𝑗(𝑛)

   (5) if 𝑆>0, Ω_𝑅,𝑖=Ω_𝑅,𝑖+{𝑘}, CEE_temp,𝑖=CEE_𝑖(𝑛,𝑚), otherwise turn to (b)

   End

 (b) Calculate the cost function 𝑆=CEE_temp,𝑖(𝑛,𝑚)−CEE_temp+ΔCEE_𝑗(𝑛)

 (c) if 𝑆>0, set CEE_temp=CEE_temp,𝑖(𝑛,𝑚), 𝑁_𝑖=𝑁_𝑖+1, otherwise stop

end

Step2: transmit antenna set selection

For 𝑙=1∶𝐶^𝑁𝑖_𝑁max

 (a) For any transmit antenna set Ω_𝑇,𝑖(𝑙), calculate the available energy efficiency

  CEE_𝑖,𝑙(𝑁_𝑖,𝑀_𝑖) according to the selected receive antenna set Ω_𝑅,𝑖.

 (b) Find the transmit antenna set Ω_𝑇,𝑖(𝑙) corresponding to the maximum of

  CEE_𝑖,𝑙(𝑁_𝑖,𝑀_𝑖)

end