function?[ewtmfbboundaries]=EWT1D（valfparams）

%?=========================================================================
%?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
[lenwidth]=size（val）;
ff=zeros（len1）;
for?i=1:width;
????ff=ff+abs（fft（val（:i）））;
end;
ff=ff./width;
%?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

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件?????????162??2016-12-01?01:53??EWT_beta.m
?????文件?????????835??2016-12-01?01:53??EWT_Boundaries_Completion.m
?????文件????????4904??2016-12-01?01:53??EWT_Boundaries_Detect.m
?????文件????????1474??2016-12-01?01:53??EWT_Meyer_FilterBank.m
?????文件?????????920??2016-12-01?01:53??EWT_Meyer_Scaling.m
?????文件????????1325??2016-12-01?01:53??EWT_Meyer_Wavelet.m
?????文件????????2997??2018-03-30?20:13??EWT1D.m
?????文件????????1223??2016-12-01?01:53??LocalMax.m
?????文件?????????770??2018-03-28?23:16??my_test.m
?????文件?????????712??2016-12-01?01:53??Powerlaw_Estimator.m
?????文件????????3982??2016-12-01?01:53??RemoveTrend.m
?????文件????????1422??2016-12-01?01:53??SpectrumRegularize.m