EWT 经验小波变换matlab源程序

function [ewtmfbboundaries]=EWT1D（fparams）

% =========================================================================
% function [ewtmfbboundaries]=EWT1D（fparams）
% 
% Perform the Empirical Wavelet Transform of f over Nscale scales. See 
% also the documentation of EWT_Boundaries_Detect for more details about
% the available methods and their parameters.
%
% Inputs:
%   -f: the input signal
%   -params: structure containing the following parameters:
%       -params.log: 0 or 1 to indicate if we want to work with
%                    the log spectrum
%       -params.preproc: ‘none‘‘plaw‘‘poly‘‘morpho‘tophat‘
%       -params.method: ‘locmax‘‘locmaxmin‘‘locmaxminf‘‘adaptive‘
%                       ‘adaptivereg‘‘scalespace‘
%       -params.reg: ‘none‘‘gaussian‘‘average‘‘closing‘
%       -params.lengthFilter: width of the above filters
%       -params.sigmaFilter: standard deviation of the above Gaussian
%                            filter
%       -params.N: maximum number of supports
%       -params.degree: degree of the polynomial （needed for the
%                       polynomial approximation preprocessing）
%       -params.completion: 0 or 1 to indicate if we try to complete
%                           or not the number of modes if the detection
%                           find a lower number of mode than params.N
%       -params.InitBounds: vector of initial bounds （in index domain）
%                           needed for the adaptive and adaptivereg methods
%				-params.typeDetect: （for scalespace method only） ‘otsu‘
%                           ‘halfnormal‘‘empiricallaw‘‘mean‘‘kmeans‘
%
% Outputs:
%   -ewt: cell containing first the low frequency component and
%         then the successives frequency subbands
%   -mfb: cell containing the filter bank （in the Fourier domain）
%   -boundaries: vector containing the set of boundaries corresponding
%                to the Fourier line segmentation （normalized between
%                0 and Pi）
%
% Author: Jerome Gilles
% Institution: UCLA - Department of Mathematics
% Year: 2013
% Version: 2.0
% =========================================================================

%% Boundary detection
% We compute the Fourier transform of f
ff=fft（f）;
% We extract the boundaries of Fourier segments
boundaries = EWT_Boundaries_Detect（abs（ff（1:round（length（ff）/2）））params）;
boundaries = boundaries*pi/round（length（ff）/2）;

%% Filtering
% We extend the signal by miroring to deal with the boundaries
l=round（length（f）/2）;
f=[f（l-1:-1:1）;f;f（end:-1:end-l+1）];
ff=fft（f）;

% We build the corresponding filter bank
mfb=EWT_Meyer_FilterBank（boundarieslength（ff））;

% We filter the signal to extract each subband
ewt=cell（length（mfb）1）;
for k=1:length（mfb）
    ewt{k}=real（ifft（conj（mfb{k}）.*ff））;
    ewt{k}=ewt{k}（l:end-l）;
end

 属性            大小     日期    时间   名称
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     文件    3380817  2018-12-10 16:16  EWT.pdf

     文件    1714598  2018-12-31 16:39  gilles2014.pdf

     文件       2825  2016-12-01 01:53  EWT1DEWT1D.m

     文件        162  2016-12-01 01:53  EWT1DEWT_beta.m

     文件       1732  2016-12-01 01:53  EWT1DEWT_InstantaneousComponents.m

     文件       1474  2016-12-01 01:53  EWT1DEWT_Meyer_FilterBank.m

     文件        920  2016-12-01 01:53  EWT1DEWT_Meyer_Scaling.m

     文件       1325  2016-12-01 01:53  EWT1DEWT_Meyer_Wavelet.m

     文件         93  2016-12-01 01:53  EWT1DEWT_Single_filter.m

     文件        841  2016-12-01 01:53  EWT1DiEWT1D.m

     文件       1628  2016-12-01 01:53  EWT1DIFcleaning.m

     文件        749  2016-12-01 01:53  EWT1DModes_EWT1D.m

     文件       1442  2016-12-01 01:53  EWT2DCurveletAnglesLocalMax.m

     文件       2182  2016-12-01 01:53  EWT2DCurveletAnglesLocalMaxMin.m

     文件       8620  2016-12-01 01:53  EWT2DCurveletAngular_sector.m

     文件       1288  2016-12-01 01:53  EWT2DCurveletCreateAngleGrid.m

     文件       8376  2016-12-01 01:53  EWT2DCurveletEWT2D_Curvelet.m

     文件       7085  2016-12-01 01:53  EWT2DCurveletEWT2D_Curvelet_FilterBank.m

     文件        971  2016-12-01 01:53  EWT2DCurveletEWT2D_Curvelet_Scaling.m

     文件       2674  2016-12-01 01:53  EWT2DCurveletEWT_Angles_Detect.m

     文件        856  2016-12-01 01:53  EWT2DCurveletiEWT2D_Curvelet.m

     文件       3226  2016-12-01 01:53  EWT2DLittlewood-PaleyEWT2D_LittlewoodPaley.m

     文件       1529  2016-12-01 01:53  EWT2DLittlewood-PaleyEWT2D_Meyer_FilterBank.m

     文件       1011  2016-12-01 01:53  EWT2DLittlewood-PaleyEWT2D_Meyer_Scaling.m

     文件       1410  2016-12-01 01:53  EWT2DLittlewood-PaleyEWT2D_Meyer_Wavelet.m

     文件       1175  2016-12-01 01:53  EWT2DLittlewood-PaleyEWT2D_UP_Meyer_Wavelet.m

     文件       1144  2016-12-01 01:53  EWT2DLittlewood-PaleyiEWT2D_LittlewoodPaley.m

     文件       2887  2016-12-01 01:53  EWT2DRidgeletEWT2D_Ridgelet.m

     文件       1006  2016-12-01 01:53  EWT2DRidgeletiEWT2D_Ridgelet.m

     文件       3970  2016-12-01 01:53  EWT2DTensorEWT2D_Tensor.m

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