[Wavelet filtering] Matlab simulation of noise signal filtering processing based on wavelet transform

1. Software version

MATLAB2021a

2. Core code

% 小波分解与程序,Xk0是要分解的原始信号,step是表示要分解的层数
function [Xh,D]=decomposition(Xk0,step)
[h0,h1,g0,g1]=filtercoefficience;
Xh=Xk0';D=0;
for lstep=1:step
    N=length(Xh);
    Yk=fft(Xh,N);
    H0k=fft(h0,N);
    H1k=fft(h1,N);
    Xh=drawwing(ifft(Yk(1:N).*conj(H0k(1:N))));
    Xh=real(Xh);D=real(D);
    d=drawwing(ifft(Yk(1:N).*conj(H1k(1:N))));
   thrd= ddencmp('den','wv',d);%用默阈值进行消噪处理
    Td=abs(d)>thrd;
    d=Td.*d;
    D=[d,D];
end

3. Operation steps and simulation conclusion

 

 

4. References

[1] Du Haofan, Cong Shuang. Research on wavelet denoising method based on MATLAB [J]. Computer Simulation, 2003, 20(7):4.

D222

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