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小波去噪举例
4.6 [4]
4.6.1 MATLAB wnoise
sqrt_snr=3;
init=231434;
[x,xn]=wnoise(3,11,sqrt_snr,init); % WNOISE generate noisy wavelet test data.
% X= WNOISE(FUN,N) returns values of the test function given by FUN, on a
% 2^N sample of [0,1]. [X,XN] = WNOISE(FUN,N,SQRT_SNR) returns the
% previous vector X rescaled such that std(x) = SQRT_SNR. The returned
% vector XN contains the same test vector X corrupted by an additive Gaussian
% white noise N(0,1). Then XN has a signal-to-noise ratio of (SQRT_SNR^2).
% [X,XN] = WNOISE(FUN,N,SQRT_SNR,INIT) returns previous vectors X and
% XN, but the generator seed is set to INI value.
subplot(3,2,1),plot(x)
title(original test function)
subplot(3,2,2),plot(xn)
title(noised function)
%2**11
3
lev=5;
xd=wden(x,heursure,s,one,lev,sym8);
% [XD,CXD,LXD] = WDEN(X,TPTR,SORH,SCAL,N,wname)
% returns a de-noised version XD of input signal X obtained by thresholding the
% wavelet coefficients. Additional output arguments [CXD,LXD] are the wavelet
% decomposition structure of de-noised signal XD. WDEN
% [C,L]XDXD
% {CXDLXD}
% TPTR(contains threshold selection rule)=heursure,
% heursure is an heuristic variant of the first option
% Stein
% SORH (s or h) is for soft or hard thresholding
% SCAL(=onedefines multiplicative threshold rescaling:one for no rescaling
% wname=sym8
subplot(3,2,3),plot(xd)
title(One de-noised function)
% sym85 SURE
xd=wden(x,heursure,s,sln,lev,sym8);
% sln for rescaling using a single estimation
% of level noise based on first level coefficients
%
subplot(3,2,4),plot(xd)
title(Sln de-noised function)
% sym8SURE
xd=wden(x,sqtwolog,s,sln,lev,sym8);
% for universal threshold sqrt(2*log(.)) .
subplot(3,2,5),plot(xd)
title(Sqtwolog de-noi
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