Given a filter bank (h, g = δ − h, h̃ = δ, g̃ = δ)

Initialization: a0 = x

for j = 0 to J −1

do

Calculate the approximation coefficients aj+1 = h[−k](j)*aj

Calculate wj+1 =Tj aj − Tj+1aj+1 with VST as $T_j{a}_j={\tau }_1^{-1/2}\sqrt{a_j+c_j}$

Where ${\tau }_k={\displaystyle \sum _i}{(h{[i]}^{(j)})}^k$ and c= (7τ2 / 8τ1)−(τ3 / τ2)

Employ hypothesis testing-based denoiser ψ to wj+1, ŵj+1 = ψwj+1

end for

Reconstruct a0 as ${\widehat{a}}_0=T_0^{-1}(T_J{a}_J+{\displaystyle \sum _{j=1}^J}{\widehat{w}}_j)$