Denoising Method Based on Sparse Representation for WFT Signal

Algorithm 1

Flowchart of the proposed denoising algorithm.

(1) choose the proper wavelet basic;

(2) calculate 𝑤^𝑗(𝑗=1,…,𝐽) using WPD;

(3) let 𝑗=𝐽;

(4) while 𝑗 <> 1

  (1) let 𝑤^𝑗₀=0 and 𝑤^𝑗₁=𝛽^𝑗;

  (2) while 𝑤^𝑗₁−𝑤^𝑗₀>𝜀 do

    𝑤^𝑗₀=𝑤^𝑗₁;

    compute 𝑤^𝑗₁ by (12);

  (3) let 𝑤^∗𝑗=𝑤^𝑗₁;

  (4) 𝑗=𝑗−1;

(5) reconstruct the signal by 𝑤^∗𝑗;