Filter-Based Fading Channel Modeling

Algorithm 1

Iterative calculation of the filter coefficients [43].

Require: 𝜚;𝜗;Ω; 𝐯=[𝑣_𝑖], and 𝐲^𝑑=[𝑦^𝑑_𝑖]

for 𝑖=0,…,2𝑀−1

 Initialize 𝑘=0, 𝐱₀, 𝐄₀=20𝐈_4Γ×4Γ

 while |𝐱_𝑘+1−𝐱_𝑘|≥𝜖 do

  find 𝐴^𝑜_𝑘 from (15)

  find 𝐠_𝑘=𝐠(𝐴^𝑜_𝑘;𝐱_𝑘)

  𝜒_𝑘=𝐠^𝑇_𝑘𝐄_𝑘𝐠_𝑘

  𝐠_𝑘=𝐠_𝑘/𝜒_𝑘

  𝐱_𝑘+1=𝒬[Ω,𝐱_𝑘−(1/(4Γ+1))𝐄_𝑘𝐠_𝑘]

  𝐄_𝑘+1=((4Γ)²/((4Γ)²−1))(𝐄_𝑘−(2/(4Γ+1))𝐄_𝑘𝐠_𝑘𝐠^𝑇_𝑘𝐄_𝑘)

  𝑘=𝑘+1

 end while