A Fast Adaptive Receive Antenna Selection Method in MIMO System

Algorithm 1

Selected antenna numbers are less than half of total receive antenna numbers.

(1) 2𝑁_𝐿<𝑁_𝑅𝑁_𝑅,𝑁_𝐿,𝑁_𝑇,ℎ₁,ℎ₂,…,ℎ_𝑁  Γ=𝜙, Ω=1,2,…,𝑁_𝑅

(2) for 𝑖=1 to 𝑁_𝑅

(3)  𝛽_𝑖,1=ℎ^𝐻_𝑖ℎ_𝑖                   𝑂(𝑁_𝑇𝑁_𝑅)

(4) end

(5) for 𝑛=1 to 𝑁_𝐿

(6)    𝐼=argmax_{𝑖∈{Ω−Γ}}𝛽_𝑖,𝑛                 𝑂(𝑁_𝑅𝑁_𝐿)

(7)    𝐴₁=ℎ_𝐼ℎ^𝐻_𝐼⁻¹

(8)    Γ=Γ+{𝐼}

(9)   if 𝑛<𝑁_𝐿

(10)    1𝑏=1+𝛽_𝐼,𝑛𝐴_𝑛ℎ_𝐼              𝑂(𝑁²_𝑇𝑁_𝐿)

(11)    𝐴_𝑛+1=𝐴_𝑛−𝑏𝑏^𝐻

(12)    for all 𝐼∈{Ω−Γ}               𝑂(𝑁²_𝑇𝑁_𝐿)

(13)     𝛽_𝑖,𝑛+1=𝛽_𝑖,𝑛−𝑏^𝐻ℎ_𝑖²             𝑂(𝑁_𝑇𝑁_𝑅𝑁_𝐿)

(14)    end

(15)   end

(16) end

(17) return Γ