An Analytical Multimodulus Algorithm for Blind Demodulation in a Time-Varying MIMO Channel Context

Algorithm 1

Adaptive nullspace of 𝐂and 𝐂tracking by using NOOJA.

Initialize  𝐃(0)

for  𝑘=1,2,…

     𝐳̃=𝐃^𝑇(𝑘)𝐜̃,𝐳=𝐃^𝑇(𝑘)𝐜,𝐩=𝐳̃−𝐃(𝑘)𝐳̃,𝐩=𝐳−𝐕(𝑘)𝐳

     compute 𝛽_opt by using(37)

     𝐃^′(𝑘+1)=𝐃(𝑘)−𝛽_opt(𝐩𝐳̃^𝑇+𝐩𝐳^𝑇)

     𝐝₁(𝑘+1)=𝐝^′₁(𝑘+1)/‖𝐝^′₁(𝑘+1)‖

     for  𝑞=2 to 𝑁_𝑡

     𝐬=[0⋯0]^𝑇

   for  𝑙=1 to 𝑞−1

   𝐬=𝐬+(𝐝^𝑇_𝑙(𝑘+1)𝐝^′_𝑞(𝑘+1))𝐝_𝑙(𝑘+1)

   end for

   𝐝_𝑞(𝑘+1)=(𝐝^′_𝑞(𝑘+1)−𝐬)/‖(𝐝^′_𝑞(𝑘+1)−𝐬)‖

 end for

end for