Table 1 LTVFF-DRLS and LCTVFF-DRLS algorithms
LTVFF-DRLS Algorithm | LCTVFF-DRLS Algorithm | ||
|---|---|---|---|
1 | For each node k=1,2,…,N do | 1 | For each node k=1,2,…,N do |
2 | Initialize w k,−1=0, P k,−1=Π −1. | 2 | Initialize w k,−1=0, P k,−1=Π −1. |
3 | For time instant i=1,2,… do | 3 | For time instant i=1,2,… do |
4 | \(\lambda _{k}(i)=[1-\zeta _{k}(i)]_{\lambda _{-}}^{\lambda _{+}}\). | 4 | \(\lambda _{k}(i)=[1-\zeta _{k}(i)]_{\lambda _{-}}^{\lambda _{+}}\). |
5 | ζ k (i)=α ζ k (i−1)+β|e k (i)|2. | 5 | ζ k (i)=α ζ k (i−1)+β|ρ k (i)|2. |
6 | ρ k (i)=γ ρ k (i−1)+(1−γ)|e k (i−1)||e k (i)|. | ||
6 | Set ψ k,i =w k,i−1, \(\mathbf {P}_{k,i}=\lambda ^{-1}_{k}(i)\mathbf {P}_{k,i-1}\). | 7 | Set ψ k,i =w k,i−1, \(\mathbf {P}_{k,i}=\lambda ^{-1}_{k}(i)\mathbf {P}_{k,i-1}\). |
7 | For \(l\in \mathcal {N}_{k}\) do | 8 | For \(l\in \mathcal {N}_{k}\) do |
8 | \(\boldsymbol {\psi }_{k,i}{\longleftarrow }\boldsymbol {\psi }_{k,i}+ \frac {C_{l,k}\mathbf {P}_{k,i}\mathbf {u}_{l,i}[d_{l,i}-\mathbf {u}_{l,i}^{*}\boldsymbol {\psi }_{k,i}]} {\sigma _{v,l}^{2}+C_{l,k}\mathbf {u}_{l,i}^{*}\mathbf {P}_{k,i}\mathbf {u}_{l,i}}\). | 9 | \(\boldsymbol {\psi }_{k,i}{\longleftarrow }\boldsymbol {\psi }_{k,i}+ \frac {C_{l,k}\mathbf {P}_{k,i}\mathbf {u}_{l,i}[d_{l,i}-\mathbf {u}_{l,i}^{*}\boldsymbol {\psi }_{k,i}]} {\sigma _{v,l}^{2}+C_{l,k}\mathbf {u}_{l,i}^{*}\mathbf {P}_{k,i}\mathbf {u}_{l,i}}\). |
9 | \(\mathbf {P}_{k,i}{\longleftarrow }\mathbf {P}_{k,i}- \frac {C_{l,k}\mathbf {P}_{k,i}\mathbf {u}_{l,i}\mathbf {u}_{l,i}^{*}\mathbf {P}_{k,i}}{\sigma _{v,l}^{2}+C_{l,k}\mathbf {u}_{l,i}^{*}\mathbf {P}_{k,i}\mathbf {u}_{l,i}}\). | 10 | \(\mathbf {P}_{k,i}{\longleftarrow }\mathbf {P}_{k,i}- \frac {C_{l,k}\mathbf {P}_{k,i}\mathbf {u}_{l,i}\mathbf {u}_{l,i}^{*}\mathbf {P}_{k,i}}{\sigma _{v,l}^{2}+C_{l,k}\mathbf {u}_{l,i}^{*}\mathbf {P}_{k,i}\mathbf {u}_{l,i}}\). |
10 | End | 11 | End |
11 | Generate the final estimate \(\mathbf {w}_{k,i}=\sum \limits _{l\in \mathcal {N}_{k}}A_{l,k}\boldsymbol {\psi }_{l,i}\). | 12 | Generate the final estimate \(\mathbf {w}_{k,i}=\sum \limits _{l\in \mathcal {N}_{k}}A_{l,k}\boldsymbol {\psi }_{l,i}\). |
12 | End | 13 | End |
13 | End | 14 | End |